45,721,420

2² × 5 × 659 × 3469

45,721,420 factors as 2^2 × 5 × 659 × 3469. Its 24 positive divisors give a proper-divisor sum of 50,466,980, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 659 × 3469

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 96,188,400

Proper Divisor Sum 50,466,980

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #45721393 ← → #45721439

Radix Representation

Decimal	45721420
Binary	10101110011010011101001100 (26 bits)
Octal	0o256323514
Hexadecimal	0x2B9A74C

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

45,721,420 22,860,710 11,430,355 34,291,066 17,145,533 51,436,600 25,718,300 12,859,150 6,429,575 19,288,726 9,644,363 28,933,090 14,466,545 43,399,636 21,699,818 10,849,909 32,549,728 16,274,864 8,137,432 4,068,716 2,034,358 1,017,179 3,051,538 1,525,769 4,577,308 2,288,654 1,144,327 3,432,982 1,716,491 5,149,474 2,574,737 7,724,212 3,862,106 1,931,053 5,793,160 2,896,580 1,448,290 724,145 2,172,436 1,086,218 543,109 1,629,328 814,664 407,332 203,666 101,833 305,500 152,750 76,375 229,126 114,563 343,690 171,845 515,536 257,768 128,884 64,442 32,221 96,664 48,332

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