77,611,696

2⁴ × 197 × 24623

77,611,696 factors as 2^4 × 197 × 24623. Its 20 positive divisors give a proper-divisor sum of 73,530,416, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^4 × 197 × 24623

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 151,142,112

Proper Divisor Sum 73,530,416

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #77611691 ← → #77611717

Radix Representation

Decimal	77611696
Binary	100101000000100001010110000 (27 bits)
Octal	0o450041260
Hexadecimal	0x4A042B0

Divisor Catalog (20)

Collatz Trajectory (179 steps to reach 1)

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

77,611,696 38,805,848 19,402,924 9,701,462 4,850,731 14,552,194 7,276,097 21,828,292 10,914,146 5,457,073 16,371,220 8,185,610 4,092,805 12,278,416 6,139,208 3,069,604 1,534,802 767,401 2,302,204 1,151,102 575,551 1,726,654 863,327 2,589,982 1,294,991 3,884,974 1,942,487 5,827,462 2,913,731 8,741,194 4,370,597 13,111,792 6,555,896 3,277,948 1,638,974 819,487 2,458,462 1,229,231 3,687,694 1,843,847 5,531,542 2,765,771 8,297,314 4,148,657 12,445,972 6,222,986 3,111,493 9,334,480 4,667,240 2,333,620 1,166,810 583,405 1,750,216 875,108 437,554 218,777 656,332 328,166 164,083 492,250

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