λ
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Atlas › Integer Profiles › Node 58,921,060

58,921,060

22 × 5 × 11 × 223 × 1201
Abundant Even Composite

58,921,060 factors as 2^2 × 5 × 11 × 223 × 1201. Its 48 positive divisors give a proper-divisor sum of 76,779,932, so this integer is abundant. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 223 × 1201
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,700,992
Proper Divisor Sum 76,779,932
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #58921043 ← → #58921061

Radix Representation

Decimal 58921060
Binary 11100000110001000001100100 (26 bits)
Octal 0o340610144
Hexadecimal 0x3831064

Divisor Catalog (48)

1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1,115 1,201 2,230 2,402 2,453 4,460 4,804 4,906 6,005 9,812 12,010 12,265 13,211 24,020 24,530 26,422 49,060 52,844 66,055 132,110 264,220 267,823 535,646 1,071,292 1,339,115 2,678,230 2,946,053 5,356,460 5,892,106 11,784,212 14,730,265 29,460,530 58,921,060

Collatz Trajectory (313 steps to reach 1)

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

58,921,060 29,460,530 14,730,265 44,190,796 22,095,398 11,047,699 33,143,098 16,571,549 49,714,648 24,857,324 12,428,662 6,214,331 18,642,994 9,321,497 27,964,492 13,982,246 6,991,123 20,973,370 10,486,685 31,460,056 15,730,028 7,865,014 3,932,507 11,797,522 5,898,761 17,696,284 8,848,142 4,424,071 13,272,214 6,636,107 19,908,322 9,954,161 29,862,484 14,931,242 7,465,621 22,396,864 11,198,432 5,599,216 2,799,608 1,399,804 699,902 349,951 1,049,854 524,927 1,574,782 787,391 2,362,174 1,181,087 3,543,262 1,771,631 5,314,894 2,657,447 7,972,342 3,986,171 11,958,514 5,979,257 17,937,772 8,968,886 4,484,443 13,453,330

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