770,589

3² × 85621

770,589 factors as 3^2 × 85621. Its 6 positive divisors give a proper-divisor sum of 342,497, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3^2 × 85621

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,113,086

Proper Divisor Sum 342,497

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #770587 ← → #770591

Radix Representation

Decimal	770589
Binary	10111100001000011101 (20 bits)
Octal	0o2741035
Hexadecimal	0xBC21D

Divisor Catalog (6)

1 3 9 85,621 256,863 770,589

Collatz Trajectory (100 steps to reach 1)

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

770,589 2,311,768 1,155,884 577,942 288,971 866,914 433,457 1,300,372 650,186 325,093 975,280 487,640 243,820 121,910 60,955 182,866 91,433 274,300 137,150 68,575 205,726 102,863 308,590 154,295 462,886 231,443 694,330 347,165 1,041,496 520,748 260,374 130,187 390,562 195,281 585,844 292,922 146,461 439,384 219,692 109,846 54,923 164,770 82,385 247,156 123,578 61,789 185,368 92,684 46,342 23,171 69,514 34,757 104,272 52,136 26,068 13,034 6,517 19,552 9,776 4,888

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