77,612,579

11 × 1229 × 5741

77,612,579 factors as 11 × 1229 × 5741. Its 8 positive divisors give a proper-divisor sum of 7,139,341, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 11 × 1229 × 5741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 84,751,920

Proper Divisor Sum 7,139,341

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #77612573 ← → #77612593

Radix Representation

Decimal	77612579
Binary	100101000000100011000100011 (27 bits)
Octal	0o450043043
Hexadecimal	0x4A04623

Divisor Catalog (8)

1 11 1,229 5,741 13,519 63,151 7,055,689 77,612,579

Collatz Trajectory (104 steps to reach 1)

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

77,612,579 232,837,738 116,418,869 349,256,608 174,628,304 87,314,152 43,657,076 21,828,538 10,914,269 32,742,808 16,371,404 8,185,702 4,092,851 12,278,554 6,139,277 18,417,832 9,208,916 4,604,458 2,302,229 6,906,688 3,453,344 1,726,672 863,336 431,668 215,834 107,917 323,752 161,876 80,938 40,469 121,408 60,704 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610 4,805 14,416 7,208 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382

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