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Atlas › Integer Profiles › Node 57,748,512

57,748,512

25 × 3 × 29 × 20743
Abundant Even Composite

57,748,512 factors as 2^5 × 3 × 29 × 20743. Its 48 positive divisors give a proper-divisor sum of 99,076,128, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 29 × 20743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 156,824,640
Proper Divisor Sum 99,076,128
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57748487 ← → #57748513

Radix Representation

Decimal 57748512
Binary 11011100010010110000100000 (26 bits)
Octal 0o334226040
Hexadecimal 0x3712C20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1,392 2,784 20,743 41,486 62,229 82,972 124,458 165,944 248,916 331,888 497,832 601,547 663,776 995,664 1,203,094 1,804,641 1,991,328 2,406,188 3,609,282 4,812,376 7,218,564 9,624,752 14,437,128 19,249,504 28,874,256 57,748,512

Collatz Trajectory (145 steps to reach 1)

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

57,748,512 28,874,256 14,437,128 7,218,564 3,609,282 1,804,641 5,413,924 2,706,962 1,353,481 4,060,444 2,030,222 1,015,111 3,045,334 1,522,667 4,568,002 2,284,001 6,852,004 3,426,002 1,713,001 5,139,004 2,569,502 1,284,751 3,854,254 1,927,127 5,781,382 2,890,691 8,672,074 4,336,037 13,008,112 6,504,056 3,252,028 1,626,014 813,007 2,439,022 1,219,511 3,658,534 1,829,267 5,487,802 2,743,901 8,231,704 4,115,852 2,057,926 1,028,963 3,086,890 1,543,445 4,630,336 2,315,168 1,157,584 578,792 289,396 144,698 72,349 217,048 108,524 54,262 27,131 81,394 40,697 122,092 61,046

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