2,590,180

2² × 5 × 129509

2,590,180 factors as 2^2 × 5 × 129509. Its 12 positive divisors give a proper-divisor sum of 2,849,240, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 129509

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,439,420

Proper Divisor Sum 2,849,240

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #2590177 ← → #2590183

Radix Representation

Decimal	2590180
Binary	1001111000010111100100 (22 bits)
Octal	0o11702744
Hexadecimal	0x2785E4

Divisor Catalog (12)

1 2 4 5 10 20 129,509 259,018 518,036 647,545 1,295,090 2,590,180

Collatz Trajectory (156 steps to reach 1)

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

2,590,180 1,295,090 647,545 1,942,636 971,318 485,659 1,456,978 728,489 2,185,468 1,092,734 546,367 1,639,102 819,551 2,458,654 1,229,327 3,687,982 1,843,991 5,531,974 2,765,987 8,297,962 4,148,981 12,446,944 6,223,472 3,111,736 1,555,868 777,934 388,967 1,166,902 583,451 1,750,354 875,177 2,625,532 1,312,766 656,383 1,969,150 984,575 2,953,726 1,476,863 4,430,590 2,215,295 6,645,886 3,322,943 9,968,830 4,984,415 14,953,246 7,476,623 22,429,870 11,214,935 33,644,806 16,822,403 50,467,210 25,233,605 75,700,816 37,850,408 18,925,204 9,462,602 4,731,301 14,193,904 7,096,952 3,548,476

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