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Atlas › Integer Profiles › Node 61,632,008

61,632,008

23 × 79 × 113 × 863
Deficient Even Composite

61,632,008 factors as 2^3 × 79 × 113 × 863. Its 32 positive divisors give a proper-divisor sum of 56,563,192, so this integer is deficient. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 113 × 863
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 118,195,200
Proper Divisor Sum 56,563,192
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #61631981 ← → #61632013

Radix Representation

Decimal 61632008
Binary 11101011000110111000001000 (26 bits)
Octal 0o353067010
Hexadecimal 0x3AC6E08

Divisor Catalog (32)

1 2 4 8 79 113 158 226 316 452 632 863 904 1,726 3,452 6,904 8,927 17,854 35,708 68,177 71,416 97,519 136,354 195,038 272,708 390,076 545,416 780,152 7,704,001 15,408,002 30,816,004 61,632,008

Collatz Trajectory (101 steps to reach 1)

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

61,632,008 30,816,004 15,408,002 7,704,001 23,112,004 11,556,002 5,778,001 17,334,004 8,667,002 4,333,501 13,000,504 6,500,252 3,250,126 1,625,063 4,875,190 2,437,595 7,312,786 3,656,393 10,969,180 5,484,590 2,742,295 8,226,886 4,113,443 12,340,330 6,170,165 18,510,496 9,255,248 4,627,624 2,313,812 1,156,906 578,453 1,735,360 867,680 433,840 216,920 108,460 54,230 27,115 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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