15,788,968

2³ × 13 × 151817

15,788,968 factors as 2^3 × 13 × 151817. Its 16 positive divisors give a proper-divisor sum of 16,092,812, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 151817

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 31,881,780

Proper Divisor Sum 16,092,812

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #15788953 ← → #15788987

Radix Representation

Decimal	15788968
Binary	111100001110101110101000 (24 bits)
Octal	0o74165650
Hexadecimal	0xF0EBA8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 151,817 303,634 607,268 1,214,536 1,973,621 3,947,242 7,894,484 15,788,968

Collatz Trajectory (174 steps to reach 1)

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

15,788,968 7,894,484 3,947,242 1,973,621 5,920,864 2,960,432 1,480,216 740,108 370,054 185,027 555,082 277,541 832,624 416,312 208,156 104,078 52,039 156,118 78,059 234,178 117,089 351,268 175,634 87,817 263,452 131,726 65,863 197,590 98,795 296,386 148,193 444,580 222,290 111,145 333,436 166,718 83,359 250,078 125,039 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214 534,107 1,602,322 801,161 2,403,484 1,201,742 600,871

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