61,352,584

2³ × 1723 × 4451

61,352,584 factors as 2^3 × 1723 × 4451. Its 16 positive divisors give a proper-divisor sum of 53,776,136, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^3 × 1723 × 4451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 115,128,720

Proper Divisor Sum 53,776,136

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #61352567 ← → #61352587

Radix Representation

Decimal	61352584
Binary	11101010000010101010001000 (26 bits)
Octal	0o352025210
Hexadecimal	0x3A82A88

Divisor Catalog (16)

1 2 4 8 1,723 3,446 4,451 6,892 8,902 13,784 17,804 35,608 7,669,073 15,338,146 30,676,292 61,352,584

Collatz Trajectory (251 steps to reach 1)

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

61,352,584 30,676,292 15,338,146 7,669,073 23,007,220 11,503,610 5,751,805 17,255,416 8,627,708 4,313,854 2,156,927 6,470,782 3,235,391 9,706,174 4,853,087 14,559,262 7,279,631 21,838,894 10,919,447 32,758,342 16,379,171 49,137,514 24,568,757 73,706,272 36,853,136 18,426,568 9,213,284 4,606,642 2,303,321 6,909,964 3,454,982 1,727,491 5,182,474 2,591,237 7,773,712 3,886,856 1,943,428 971,714 485,857 1,457,572 728,786 364,393 1,093,180 546,590 273,295 819,886 409,943 1,229,830 614,915 1,844,746 922,373 2,767,120 1,383,560 691,780 345,890 172,945 518,836 259,418 129,709 389,128

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