770,547

3 × 113 × 2273

770,547 factors as 3 × 113 × 2273. Its 8 positive divisors give a proper-divisor sum of 266,397, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 3 × 113 × 2273

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,036,944

Proper Divisor Sum 266,397

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #770537 ← → #770551

Radix Representation

Decimal	770547
Binary	10111100000111110011 (20 bits)
Octal	0o2740763
Hexadecimal	0xBC1F3

Divisor Catalog (8)

1 3 113 339 2,273 6,819 256,849 770,547

Collatz Trajectory (193 steps to reach 1)

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

770,547 2,311,642 1,155,821 3,467,464 1,733,732 866,866 433,433 1,300,300 650,150 325,075 975,226 487,613 1,462,840 731,420 365,710 182,855 548,566 274,283 822,850 411,425 1,234,276 617,138 308,569 925,708 462,854 231,427 694,282 347,141 1,041,424 520,712 260,356 130,178 65,089 195,268 97,634 48,817 146,452 73,226 36,613 109,840 54,920 27,460 13,730 6,865 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815

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