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Atlas › Integer Profiles › Node 52,561,792

52,561,792

27 × 47 × 8737
Abundant Even Composite

52,561,792 factors as 2^7 × 47 × 8737. Its 32 positive divisors give a proper-divisor sum of 54,391,328, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^7 × 47 × 8737
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 106,953,120
Proper Divisor Sum 54,391,328
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #52561787 ← → #52561801

Radix Representation

Decimal 52561792
Binary 11001000100000011110000000 (26 bits)
Octal 0o310403600
Hexadecimal 0x3220780

Divisor Catalog (32)

1 2 4 8 16 32 47 64 94 128 188 376 752 1,504 3,008 6,016 8,737 17,474 34,948 69,896 139,792 279,584 410,639 559,168 821,278 1,118,336 1,642,556 3,285,112 6,570,224 13,140,448 26,280,896 52,561,792

Collatz Trajectory (199 steps to reach 1)

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

52,561,792 26,280,896 13,140,448 6,570,224 3,285,112 1,642,556 821,278 410,639 1,231,918 615,959 1,847,878 923,939 2,771,818 1,385,909 4,157,728 2,078,864 1,039,432 519,716 259,858 129,929 389,788 194,894 97,447 292,342 146,171 438,514 219,257 657,772 328,886 164,443 493,330 246,665 739,996 369,998 184,999 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452 790,226 395,113 1,185,340 592,670 296,335 889,006 444,503 1,333,510 666,755 2,000,266

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