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Atlas › Integer Profiles › Node 58,924,096

58,924,096

26 × 7 × 112 × 1087
Abundant Even Composite

58,924,096 factors as 2^6 × 7 × 11^2 × 1087. Its 84 positive divisors give a proper-divisor sum of 88,095,168, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 11^2 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 147,019,264
Proper Divisor Sum 88,095,168
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #58924081 ← → #58924121

Radix Representation

Decimal 58924096
Binary 11100000110001110001000000 (26 bits)
Octal 0o340616100
Hexadecimal 0x3831C40

Divisor Catalog (60 of 84)

1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1,087 1,232 1,694 1,936 2,174 2,464 3,388 3,872 4,348 4,928 6,776 7,609 7,744 8,696 11,957 13,552 15,218 17,392 23,914 27,104 30,436 34,784 47,828 54,208 60,872 69,568 83,699 95,656 121,744 131,527

Collatz Trajectory (176 steps to reach 1)

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

58,924,096 29,462,048 14,731,024 7,365,512 3,682,756 1,841,378 920,689 2,762,068 1,381,034 690,517 2,071,552 1,035,776 517,888 258,944 129,472 64,736 32,368 16,184 8,092 4,046 2,023 6,070 3,035 9,106 4,553 13,660 6,830 3,415 10,246 5,123 15,370 7,685 23,056 11,528 5,764 2,882 1,441 4,324 2,162 1,081 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290

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