λ
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Atlas › Integer Profiles › Node 59,138,036

59,138,036

22 × 17 × 53 × 61 × 269
Deficient Even Composite

59,138,036 factors as 2^2 × 17 × 53 × 61 × 269. Its 48 positive divisors give a proper-divisor sum of 54,760,924, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 53 × 61 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 113,898,960
Proper Divisor Sum 54,760,924
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #59138033 ← → #59138063

Radix Representation

Decimal 59138036
Binary 11100001100101111111110100 (26 bits)
Octal 0o341457764
Hexadecimal 0x3865FF4

Divisor Catalog (48)

1 2 4 17 34 53 61 68 106 122 212 244 269 538 901 1,037 1,076 1,802 2,074 3,233 3,604 4,148 4,573 6,466 9,146 12,932 14,257 16,409 18,292 28,514 32,818 54,961 57,028 65,636 109,922 219,844 242,369 278,953 484,738 557,906 869,677 969,476 1,115,812 1,739,354 3,478,708 14,784,509 29,569,018 59,138,036

Collatz Trajectory (194 steps to reach 1)

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

59,138,036 29,569,018 14,784,509 44,353,528 22,176,764 11,088,382 5,544,191 16,632,574 8,316,287 24,948,862 12,474,431 37,423,294 18,711,647 56,134,942 28,067,471 84,202,414 42,101,207 126,303,622 63,151,811 189,455,434 94,727,717 284,183,152 142,091,576 71,045,788 35,522,894 17,761,447 53,284,342 26,642,171 79,926,514 39,963,257 119,889,772 59,944,886 29,972,443 89,917,330 44,958,665 134,875,996 67,437,998 33,718,999 101,156,998 50,578,499 151,735,498 75,867,749 227,603,248 113,801,624 56,900,812 28,450,406 14,225,203 42,675,610 21,337,805 64,013,416 32,006,708 16,003,354 8,001,677 24,005,032 12,002,516 6,001,258 3,000,629 9,001,888 4,500,944 2,250,472

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