770,888

2³ × 173 × 557

770,888 factors as 2^3 × 173 × 557. Its 16 positive divisors give a proper-divisor sum of 685,492, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^3 × 173 × 557

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,456,380

Proper Divisor Sum 685,492

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #770881 ← → #770897

Radix Representation

Decimal	770888
Binary	10111100001101001000 (20 bits)
Octal	0o2741510
Hexadecimal	0xBC348

Divisor Catalog (16)

1 2 4 8 173 346 557 692 1,114 1,384 2,228 4,456 96,361 192,722 385,444 770,888

Collatz Trajectory (149 steps to reach 1)

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

770,888 385,444 192,722 96,361 289,084 144,542 72,271 216,814 108,407 325,222 162,611 487,834 243,917 731,752 365,876 182,938 91,469 274,408 137,204 68,602 34,301 102,904 51,452 25,726 12,863 38,590 19,295 57,886 28,943 86,830 43,415 130,246 65,123 195,370 97,685 293,056 146,528 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137

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