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Atlas › Integer Profiles › Node 57,721,088

57,721,088

28 × 19 × 11867
Abundant Even Composite

57,721,088 factors as 2^8 × 19 × 11867. Its 36 positive divisors give a proper-divisor sum of 63,569,872, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^8 × 19 × 11867
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 121,290,960
Proper Divisor Sum 63,569,872
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57721087 ← → #57721117

Radix Representation

Decimal 57721088
Binary 11011100001100000100000000 (26 bits)
Octal 0o334140400
Hexadecimal 0x370C100

Divisor Catalog (36)

1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1,216 2,432 4,864 11,867 23,734 47,468 94,936 189,872 225,473 379,744 450,946 759,488 901,892 1,518,976 1,803,784 3,037,952 3,607,568 7,215,136 14,430,272 28,860,544 57,721,088

Collatz Trajectory (119 steps to reach 1)

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

57,721,088 28,860,544 14,430,272 7,215,136 3,607,568 1,803,784 901,892 450,946 225,473 676,420 338,210 169,105 507,316 253,658 126,829 380,488 190,244 95,122 47,561 142,684 71,342 35,671 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700

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