3,747,128

2³ × 7² × 11² × 79

3,747,128 factors as 2^3 × 7^2 × 11^2 × 79. Its 72 positive divisors give a proper-divisor sum of 5,350,072, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 11^2 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,097,200

Proper Divisor Sum 5,350,072

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3747097 ← → #3747131

Radix Representation

Decimal	3747128
Binary	1110010010110100111000 (22 bits)
Octal	0o16226470
Hexadecimal	0x392D38

Divisor Catalog (60 of 72)

1 2 4 7 8 11 14 22 28 44 49 56 77 79 88 98 121 154 158 196 242 308 316 392 484 539 553 616 632 847 869 968 1,078 1,106 1,694 1,738 2,156 2,212 3,388 3,476 3,871 4,312 4,424 5,929 6,083 6,776 6,952 7,742 9,559 11,858 12,166 15,484 19,118 23,716 24,332 30,968 38,236 42,581 47,432 48,664

Collatz Trajectory (159 steps to reach 1)

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

3,747,128 1,873,564 936,782 468,391 1,405,174 702,587 2,107,762 1,053,881 3,161,644 1,580,822 790,411 2,371,234 1,185,617 3,556,852 1,778,426 889,213 2,667,640 1,333,820 666,910 333,455 1,000,366 500,183 1,500,550 750,275 2,250,826 1,125,413 3,376,240 1,688,120 844,060 422,030 211,015 633,046 316,523 949,570 474,785 1,424,356 712,178 356,089 1,068,268 534,134 267,067 801,202 400,601 1,201,804 600,902 300,451 901,354 450,677 1,352,032 676,016 338,008 169,004 84,502 42,251 126,754 63,377 190,132 95,066 47,533 142,600

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