10,015,984

2⁴ × 11 × 56909

10,015,984 factors as 2^4 × 11 × 56909. Its 20 positive divisors give a proper-divisor sum of 11,154,536, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 56909

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 21,170,520

Proper Divisor Sum 11,154,536

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #10015979 ← → #10016023

Radix Representation

Decimal	10015984
Binary	100110001101010011110000 (24 bits)
Octal	0o46152360
Hexadecimal	0x98D4F0

Divisor Catalog (20)

Collatz Trajectory (114 steps to reach 1)

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

10,015,984 5,007,992 2,503,996 1,251,998 625,999 1,877,998 938,999 2,816,998 1,408,499 4,225,498 2,112,749 6,338,248 3,169,124 1,584,562 792,281 2,376,844 1,188,422 594,211 1,782,634 891,317 2,673,952 1,336,976 668,488 334,244 167,122 83,561 250,684 125,342 62,671 188,014 94,007 282,022 141,011 423,034 211,517 634,552 317,276 158,638 79,319 237,958 118,979 356,938 178,469 535,408 267,704 133,852 66,926 33,463 100,390 50,195 150,586 75,293 225,880 112,940 56,470 28,235 84,706 42,353 127,060 63,530

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