767,583

3³ × 28429

767,583 factors as 3^3 × 28429. Its 8 positive divisors give a proper-divisor sum of 369,617, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^3 × 28429

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,137,200

Proper Divisor Sum 369,617

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #767551 ← → #767587

Radix Representation

Decimal	767583
Binary	10111011011001011111 (20 bits)
Octal	0o2733137
Hexadecimal	0xBB65F

Divisor Catalog (8)

1 3 9 27 28,429 85,287 255,861 767,583

Collatz Trajectory (105 steps to reach 1)

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

767,583 2,302,750 1,151,375 3,454,126 1,727,063 5,181,190 2,590,595 7,771,786 3,885,893 11,657,680 5,828,840 2,914,420 1,457,210 728,605 2,185,816 1,092,908 546,454 273,227 819,682 409,841 1,229,524 614,762 307,381 922,144 461,072 230,536 115,268 57,634 28,817 86,452 43,226 21,613 64,840 32,420 16,210 8,105 24,316 12,158 6,079 18,238 9,119 27,358 13,679 41,038 20,519 61,558 30,779 92,338 46,169 138,508 69,254 34,627 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218

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