770,865

3 × 5 × 17 × 3023

770,865 factors as 3 × 5 × 17 × 3023. Its 16 positive divisors give a proper-divisor sum of 535,503, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 3023

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,306,368

Proper Divisor Sum 535,503

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #770863 ← → #770867

Radix Representation

Decimal	770865
Binary	10111100001100110001 (20 bits)
Octal	0o2741461
Hexadecimal	0xBC331

Divisor Catalog (16)

1 3 5 15 17 51 85 255 3,023 9,069 15,115 45,345 51,391 154,173 256,955 770,865

Collatz Trajectory (149 steps to reach 1)

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

770,865 2,312,596 1,156,298 578,149 1,734,448 867,224 433,612 216,806 108,403 325,210 162,605 487,816 243,908 121,954 60,977 182,932 91,466 45,733 137,200 68,600 34,300 17,150 8,575 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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