15,511,930

2 × 5 × 7² × 31657

15,511,930 factors as 2 × 5 × 7^2 × 31657. Its 24 positive divisors give a proper-divisor sum of 16,969,178, so this integer is abundant. The Collatz stopping time is 417 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 31657

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 32,481,108

Proper Divisor Sum 16,969,178

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #15511921 ← → #15511931

Radix Representation

Decimal	15511930
Binary	111011001011000101111010 (24 bits)
Octal	0o73130572
Hexadecimal	0xECB17A

Divisor Catalog (24)

Collatz Trajectory (417 steps to reach 1)

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

15,511,930 7,755,965 23,267,896 11,633,948 5,816,974 2,908,487 8,725,462 4,362,731 13,088,194 6,544,097 19,632,292 9,816,146 4,908,073 14,724,220 7,362,110 3,681,055 11,043,166 5,521,583 16,564,750 8,282,375 24,847,126 12,423,563 37,270,690 18,635,345 55,906,036 27,953,018 13,976,509 41,929,528 20,964,764 10,482,382 5,241,191 15,723,574 7,861,787 23,585,362 11,792,681 35,378,044 17,689,022 8,844,511 26,533,534 13,266,767 39,800,302 19,900,151 59,700,454 29,850,227 89,550,682 44,775,341 134,326,024 67,163,012 33,581,506 16,790,753 50,372,260 25,186,130 12,593,065 37,779,196 18,889,598 9,444,799 28,334,398 14,167,199 42,501,598 21,250,799

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