λ
Zalai Atlas

2,601,500

22 × 53 × 112 × 43
Abundant Even Composite

2,601,500 has the prime decomposition 2^2 × 5^3 × 11^2 × 43. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5^3 × 11^2 × 43
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 6,390,384
Proper Divisor Sum 3,788,884
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #2601481 ← → #2601509

Radix Representation

Decimal 2601500
Binary 1001111011001000011100 (22 bits)
Octal 0o11731034
Hexadecimal 0x27B21C

Divisor Catalog (60 of 72)

1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 121 125 172 215 220 242 250 275 430 473 484 500 550 605 860 946 1,075 1,100 1,210 1,375 1,892 2,150 2,365 2,420 2,750 3,025 4,300 4,730 5,203 5,375 5,500 6,050 9,460 10,406 10,750 11,825 12,100 15,125 20,812 21,500 23,650 26,015 30,250 47,300

Collatz Trajectory (125 steps to reach 1)

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

2,601,500 1,300,750 650,375 1,951,126 975,563 2,926,690 1,463,345 4,390,036 2,195,018 1,097,509 3,292,528 1,646,264 823,132 411,566 205,783 617,350 308,675 926,026 463,013 1,389,040 694,520 347,260 173,630 86,815 260,446 130,223 390,670 195,335 586,006 293,003 879,010 439,505 1,318,516 659,258 329,629 988,888 494,444 247,222 123,611 370,834 185,417 556,252 278,126 139,063 417,190 208,595 625,786 312,893 938,680 469,340 234,670 117,335 352,006 176,003 528,010 264,005 792,016 396,008 198,004 99,002

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