λ
Zalai Atlas

622,002

2 × 3 × 83 × 1249
Abundant Even Composite

622,002 has the prime decomposition 2 × 3 × 83 × 1249. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 83 × 1249
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,260,000
Proper Divisor Sum 637,998
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #621997 ← → #622009

Radix Representation

Decimal 622002
Binary 10010111110110110010 (20 bits)
Octal 0o2276662
Hexadecimal 0x97DB2

Divisor Catalog (16)

1 2 3 6 83 166 249 498 1,249 2,498 3,747 7,494 103,667 207,334 311,001 622,002

Collatz Trajectory (247 steps to reach 1)

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

622,002 311,001 933,004 466,502 233,251 699,754 349,877 1,049,632 524,816 262,408 131,204 65,602 32,801 98,404 49,202 24,601 73,804 36,902 18,451 55,354 27,677 83,032 41,516 20,758 10,379 31,138 15,569 46,708 23,354 11,677 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947

More profiles

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