4,331,124

2² × 3³ × 7 × 17 × 337

4,331,124 factors as 2^2 × 3^3 × 7 × 17 × 337. Its 96 positive divisors give a proper-divisor sum of 9,297,036, so this integer is abundant. The Collatz stopping time is 366 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 17 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,628,160

Proper Divisor Sum 9,297,036

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4331123 ← → #4331137

Radix Representation

Decimal	4331124
Binary	10000100001011001110100 (23 bits)
Octal	0o20413164
Hexadecimal	0x421674

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 337 357 378 459 476 612 674 714 756 918 1,011 1,071 1,348 1,428 1,836 2,022 2,142 2,359 3,033 3,213 4,044 4,284 4,718 5,729 6,066 6,426 7,077 9,099

Collatz Trajectory (366 steps to reach 1)

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

4,331,124 2,165,562 1,082,781 3,248,344 1,624,172 812,086 406,043 1,218,130 609,065 1,827,196 913,598 456,799 1,370,398 685,199 2,055,598 1,027,799 3,083,398 1,541,699 4,625,098 2,312,549 6,937,648 3,468,824 1,734,412 867,206 433,603 1,300,810 650,405 1,951,216 975,608 487,804 243,902 121,951 365,854 182,927 548,782 274,391 823,174 411,587 1,234,762 617,381 1,852,144 926,072 463,036 231,518 115,759 347,278 173,639 520,918 260,459 781,378 390,689 1,172,068 586,034 293,017 879,052 439,526 219,763 659,290 329,645 988,936

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