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Atlas › Integer Profiles › Node 5,772,088

5,772,088

23 × 7 × 59 × 1747
Abundant Even Composite

5,772,088 factors as 2^3 × 7 × 59 × 1747. Its 32 positive divisors give a proper-divisor sum of 6,813,512, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 59 × 1747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,585,600
Proper Divisor Sum 6,813,512
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5772079 ← → #5772097

Radix Representation

Decimal 5772088
Binary 10110000001001100111000 (23 bits)
Octal 0o26011470
Hexadecimal 0x581338

Divisor Catalog (32)

1 2 4 7 8 14 28 56 59 118 236 413 472 826 1,652 1,747 3,304 3,494 6,988 12,229 13,976 24,458 48,916 97,832 103,073 206,146 412,292 721,511 824,584 1,443,022 2,886,044 5,772,088

Collatz Trajectory (126 steps to reach 1)

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

5,772,088 2,886,044 1,443,022 721,511 2,164,534 1,082,267 3,246,802 1,623,401 4,870,204 2,435,102 1,217,551 3,652,654 1,826,327 5,478,982 2,739,491 8,218,474 4,109,237 12,327,712 6,163,856 3,081,928 1,540,964 770,482 385,241 1,155,724 577,862 288,931 866,794 433,397 1,300,192 650,096 325,048 162,524 81,262 40,631 121,894 60,947 182,842 91,421 274,264 137,132 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708 57,854 28,927 86,782 43,391 130,174 65,087 195,262 97,631 292,894 146,447 439,342 219,671

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