761,364

2² × 3² × 21149

761,364 factors as 2^2 × 3^2 × 21149. Its 18 positive divisors give a proper-divisor sum of 1,163,286, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 21149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,924,650

Proper Divisor Sum 1,163,286

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #761363 ← → #761377

Radix Representation

Decimal	761364
Binary	10111001111000010100 (20 bits)
Octal	0o2717024
Hexadecimal	0xB9E14

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 21,149 42,298 63,447 84,596 126,894 190,341 253,788 380,682 761,364

Collatz Trajectory (105 steps to reach 1)

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

761,364 380,682 190,341 571,024 285,512 142,756 71,378 35,689 107,068 53,534 26,767 80,302 40,151 120,454 60,227 180,682 90,341 271,024 135,512 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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