3,172,988

2² × 7 × 13 × 23 × 379

3,172,988 factors as 2^2 × 7 × 13 × 23 × 379. Its 48 positive divisors give a proper-divisor sum of 3,977,092, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 23 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,150,080

Proper Divisor Sum 3,977,092

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3172987 ← → #3172991

Radix Representation

Decimal	3172988
Binary	1100000110101001111100 (22 bits)
Octal	0o14065174
Hexadecimal	0x306A7C

Divisor Catalog (48)

1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 379 598 644 758 1,196 1,516 2,093 2,653 4,186 4,927 5,306 8,372 8,717 9,854 10,612 17,434 19,708 34,489 34,868 61,019 68,978 113,321 122,038 137,956 226,642 244,076 453,284 793,247 1,586,494 3,172,988

Collatz Trajectory (102 steps to reach 1)

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

3,172,988 1,586,494 793,247 2,379,742 1,189,871 3,569,614 1,784,807 5,354,422 2,677,211 8,031,634 4,015,817 12,047,452 6,023,726 3,011,863 9,035,590 4,517,795 13,553,386 6,776,693 20,330,080 10,165,040 5,082,520 2,541,260 1,270,630 635,315 1,905,946 952,973 2,858,920 1,429,460 714,730 357,365 1,072,096 536,048 268,024 134,012 67,006 33,503 100,510 50,255 150,766 75,383 226,150 113,075 339,226 169,613 508,840 254,420 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836 13,418 6,709 20,128

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