57,749,440

2⁶ × 5 × 7² × 29 × 127

57,749,440 factors as 2^6 × 5 × 7^2 × 29 × 127. Its 168 positive divisors give a proper-divisor sum of 109,037,120, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 7^2 × 29 × 127

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 166,786,560

Proper Divisor Sum 109,037,120

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #57749437 ← → #57749453

Radix Representation

Decimal	57749440
Binary	11011100010010111111000000 (26 bits)
Octal	0o334227700
Hexadecimal	0x3712FC0

Divisor Catalog (60 of 168)

1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 49 56 58 64 70 80 98 112 116 127 140 145 160 196 203 224 232 245 254 280 290 320 392 406 448 464 490 508 560 580 635 784 812 889 928 980 1,015 1,016 1,120 1,160 1,270 1,421 1,568 1,624 1,778

Collatz Trajectory (176 steps to reach 1)

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

57,749,440 28,874,720 14,437,360 7,218,680 3,609,340 1,804,670 902,335 2,707,006 1,353,503 4,060,510 2,030,255 6,090,766 3,045,383 9,136,150 4,568,075 13,704,226 6,852,113 20,556,340 10,278,170 5,139,085 15,417,256 7,708,628 3,854,314 1,927,157 5,781,472 2,890,736 1,445,368 722,684 361,342 180,671 542,014 271,007 813,022 406,511 1,219,534 609,767 1,829,302 914,651 2,743,954 1,371,977 4,115,932 2,057,966 1,028,983 3,086,950 1,543,475 4,630,426 2,315,213 6,945,640 3,472,820 1,736,410 868,205 2,604,616 1,302,308 651,154 325,577 976,732 488,366 244,183 732,550 366,275

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