61,132,664

2³ × 173 × 44171

61,132,664 factors as 2^3 × 173 × 44171. Its 16 positive divisors give a proper-divisor sum of 54,156,256, so this integer is deficient. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^3 × 173 × 44171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 115,288,920

Proper Divisor Sum 54,156,256

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #61132657 ← → #61132679

Radix Representation

Decimal	61132664
Binary	11101001001100111101111000 (26 bits)
Octal	0o351147570
Hexadecimal	0x3A4CF78

Divisor Catalog (16)

1 2 4 8 173 346 692 1,384 44,171 88,342 176,684 353,368 7,641,583 15,283,166 30,566,332 61,132,664

Collatz Trajectory (158 steps to reach 1)

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

61,132,664 30,566,332 15,283,166 7,641,583 22,924,750 11,462,375 34,387,126 17,193,563 51,580,690 25,790,345 77,371,036 38,685,518 19,342,759 58,028,278 29,014,139 87,042,418 43,521,209 130,563,628 65,281,814 32,640,907 97,922,722 48,961,361 146,884,084 73,442,042 36,721,021 110,163,064 55,081,532 27,540,766 13,770,383 41,311,150 20,655,575 61,966,726 30,983,363 92,950,090 46,475,045 139,425,136 69,712,568 34,856,284 17,428,142 8,714,071 26,142,214 13,071,107 39,213,322 19,606,661 58,819,984 29,409,992 14,704,996 7,352,498 3,676,249 11,028,748 5,514,374 2,757,187 8,271,562 4,135,781 12,407,344 6,203,672 3,101,836 1,550,918 775,459 2,326,378

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