λ
Zalai Atlas

6,490,050

2 × 3 × 52 × 72 × 883
Abundant Even Composite

6,490,050 has the prime decomposition 2 × 3 × 5^2 × 7^2 × 883. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7^2 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 18,744,336
Proper Divisor Sum 12,254,286
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6490037 ← → #6490063

Radix Representation

Decimal 6490050
Binary 11000110000011111000010 (23 bits)
Octal 0o30603702
Hexadecimal 0x6307C2

Divisor Catalog (60 of 72)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 883 1,050 1,225 1,470 1,766 2,450 2,649 3,675 4,415 5,298 6,181 7,350 8,830 12,362 13,245 18,543 22,075 26,490 30,905 37,086 43,267 44,150 61,810 66,225 86,534 92,715 129,801 132,450 154,525 185,430

Collatz Trajectory (178 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,490,050 3,245,025 9,735,076 4,867,538 2,433,769 7,301,308 3,650,654 1,825,327 5,475,982 2,737,991 8,213,974 4,106,987 12,320,962 6,160,481 18,481,444 9,240,722 4,620,361 13,861,084 6,930,542 3,465,271 10,395,814 5,197,907 15,593,722 7,796,861 23,390,584 11,695,292 5,847,646 2,923,823 8,771,470 4,385,735 13,157,206 6,578,603 19,735,810 9,867,905 29,603,716 14,801,858 7,400,929 22,202,788 11,101,394 5,550,697 16,652,092 8,326,046 4,163,023 12,489,070 6,244,535 18,733,606 9,366,803 28,100,410 14,050,205 42,150,616 21,075,308 10,537,654 5,268,827 15,806,482 7,903,241 23,709,724 11,854,862 5,927,431 17,782,294 8,891,147

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