77,800,552

2³ × 163 × 59663

77,800,552 factors as 2^3 × 163 × 59663. Its 16 positive divisors give a proper-divisor sum of 68,972,888, so this integer is deficient. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 163 × 59663

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 146,773,440

Proper Divisor Sum 68,972,888

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #77800549 ← → #77800561

Radix Representation

Decimal	77800552
Binary	100101000110010010001101000 (27 bits)
Octal	0o450622150
Hexadecimal	0x4A32468

Divisor Catalog (16)

1 2 4 8 163 326 652 1,304 59,663 119,326 238,652 477,304 9,725,069 19,450,138 38,900,276 77,800,552

Collatz Trajectory (117 steps to reach 1)

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

77,800,552 38,900,276 19,450,138 9,725,069 29,175,208 14,587,604 7,293,802 3,646,901 10,940,704 5,470,352 2,735,176 1,367,588 683,794 341,897 1,025,692 512,846 256,423 769,270 384,635 1,153,906 576,953 1,730,860 865,430 432,715 1,298,146 649,073 1,947,220 973,610 486,805 1,460,416 730,208 365,104 182,552 91,276 45,638 22,819 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715

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