77,536,924

2² × 3511 × 5521

77,536,924 factors as 2^2 × 3511 × 5521. Its 12 positive divisors give a proper-divisor sum of 58,215,924, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 3511 × 5521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 135,752,848

Proper Divisor Sum 58,215,924

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #77536919 ← → #77536937

Radix Representation

Decimal	77536924
Binary	100100111110001111010011100 (27 bits)
Octal	0o447617234
Hexadecimal	0x49F1E9C

Divisor Catalog (12)

1 2 4 3,511 5,521 7,022 11,042 14,044 22,084 19,384,231 38,768,462 77,536,924

Collatz Trajectory (179 steps to reach 1)

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

77,536,924 38,768,462 19,384,231 58,152,694 29,076,347 87,229,042 43,614,521 130,843,564 65,421,782 32,710,891 98,132,674 49,066,337 147,199,012 73,599,506 36,799,753 110,399,260 55,199,630 27,599,815 82,799,446 41,399,723 124,199,170 62,099,585 186,298,756 93,149,378 46,574,689 139,724,068 69,862,034 34,931,017 104,793,052 52,396,526 26,198,263 78,594,790 39,297,395 117,892,186 58,946,093 176,838,280 88,419,140 44,209,570 22,104,785 66,314,356 33,157,178 16,578,589 49,735,768 24,867,884 12,433,942 6,216,971 18,650,914 9,325,457 27,976,372 13,988,186 6,994,093 20,982,280 10,491,140 5,245,570 2,622,785 7,868,356 3,934,178 1,967,089 5,901,268 2,950,634

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