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Atlas › Integer Profiles › Node 61,631,872

61,631,872

27 × 59 × 8161
Abundant Even Composite

61,631,872 factors as 2^7 × 59 × 8161. Its 32 positive divisors give a proper-divisor sum of 63,246,728, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^7 × 59 × 8161
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,878,600
Proper Divisor Sum 63,246,728
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61631863 ← → #61631903

Radix Representation

Decimal 61631872
Binary 11101011000110110110000000 (26 bits)
Octal 0o353066600
Hexadecimal 0x3AC6D80

Divisor Catalog (32)

1 2 4 8 16 32 59 64 118 128 236 472 944 1,888 3,776 7,552 8,161 16,322 32,644 65,288 130,576 261,152 481,499 522,304 962,998 1,044,608 1,925,996 3,851,992 7,703,984 15,407,968 30,815,936 61,631,872

Collatz Trajectory (101 steps to reach 1)

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

61,631,872 30,815,936 15,407,968 7,703,984 3,851,992 1,925,996 962,998 481,499 1,444,498 722,249 2,166,748 1,083,374 541,687 1,625,062 812,531 2,437,594 1,218,797 3,656,392 1,828,196 914,098 457,049 1,371,148 685,574 342,787 1,028,362 514,181 1,542,544 771,272 385,636 192,818 96,409 289,228 144,614 72,307 216,922 108,461 325,384 162,692 81,346 40,673 122,020 61,010 30,505 91,516 45,758 22,879 68,638 34,319 102,958 51,479 154,438 77,219 231,658 115,829 347,488 173,744 86,872 43,436 21,718 10,859

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