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15,831,744

26 × 3 × 82457
Abundant Even Composite

15,831,744 factors as 2^6 × 3 × 82457. Its 28 positive divisors give a proper-divisor sum of 26,056,920, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 82457
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 41,888,664
Proper Divisor Sum 26,056,920
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #15831737 ← → #15831763

Radix Representation

Decimal 15831744
Binary 111100011001001011000000 (24 bits)
Octal 0o74311300
Hexadecimal 0xF192C0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 82,457 164,914 247,371 329,828 494,742 659,656 989,484 1,319,312 1,978,968 2,638,624 3,957,936 5,277,248 7,915,872 15,831,744

Collatz Trajectory (156 steps to reach 1)

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

15,831,744 7,915,872 3,957,936 1,978,968 989,484 494,742 247,371 742,114 371,057 1,113,172 556,586 278,293 834,880 417,440 208,720 104,360 52,180 26,090 13,045 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484

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