λ
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Atlas › Integer Profiles › Node 59,857,564

59,857,564

22 × 13 × 37 × 53 × 587
Deficient Even Composite

59,857,564 factors as 2^2 × 13 × 37 × 53 × 587. Its 48 positive divisors give a proper-divisor sum of 58,386,884, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 53 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,244,448
Proper Divisor Sum 58,386,884
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #59857547 ← → #59857571

Radix Representation

Decimal 59857564
Binary 11100100010101101010011100 (26 bits)
Octal 0o344255234
Hexadecimal 0x3915A9C

Divisor Catalog (48)

1 2 4 13 26 37 52 53 74 106 148 212 481 587 689 962 1,174 1,378 1,924 1,961 2,348 2,756 3,922 7,631 7,844 15,262 21,719 25,493 30,524 31,111 43,438 50,986 62,222 86,876 101,972 124,444 282,347 404,443 564,694 808,886 1,129,388 1,151,107 1,617,772 2,302,214 4,604,428 14,964,391 29,928,782 59,857,564

Collatz Trajectory (101 steps to reach 1)

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

59,857,564 29,928,782 14,964,391 44,893,174 22,446,587 67,339,762 33,669,881 101,009,644 50,504,822 25,252,411 75,757,234 37,878,617 113,635,852 56,817,926 28,408,963 85,226,890 42,613,445 127,840,336 63,920,168 31,960,084 15,980,042 7,990,021 23,970,064 11,985,032 5,992,516 2,996,258 1,498,129 4,494,388 2,247,194 1,123,597 3,370,792 1,685,396 842,698 421,349 1,264,048 632,024 316,012 158,006 79,003 237,010 118,505 355,516 177,758 88,879 266,638 133,319 399,958 199,979 599,938 299,969 899,908 449,954 224,977 674,932 337,466 168,733 506,200 253,100 126,550 63,275

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