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Atlas › Integer Profiles › Node 57,736,952

57,736,952

23 × 7 × 13 × 79309
Abundant Even Composite

57,736,952 factors as 2^3 × 7 × 13 × 79309. Its 32 positive divisors give a proper-divisor sum of 75,503,848, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 79309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 133,240,800
Proper Divisor Sum 75,503,848
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #57736951 ← → #57736993

Radix Representation

Decimal 57736952
Binary 11011100001111111011111000 (26 bits)
Octal 0o334177370
Hexadecimal 0x370FEF8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 79,309 158,618 317,236 555,163 634,472 1,031,017 1,110,326 2,062,034 2,220,652 4,124,068 4,441,304 7,217,119 8,248,136 14,434,238 28,868,476 57,736,952

Collatz Trajectory (176 steps to reach 1)

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

57,736,952 28,868,476 14,434,238 7,217,119 21,651,358 10,825,679 32,477,038 16,238,519 48,715,558 24,357,779 73,073,338 36,536,669 109,610,008 54,805,004 27,402,502 13,701,251 41,103,754 20,551,877 61,655,632 30,827,816 15,413,908 7,706,954 3,853,477 11,560,432 5,780,216 2,890,108 1,445,054 722,527 2,167,582 1,083,791 3,251,374 1,625,687 4,877,062 2,438,531 7,315,594 3,657,797 10,973,392 5,486,696 2,743,348 1,371,674 685,837 2,057,512 1,028,756 514,378 257,189 771,568 385,784 192,892 96,446 48,223 144,670 72,335 217,006 108,503 325,510 162,755 488,266 244,133 732,400 366,200

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