763,875

3² × 5³ × 7 × 97

763,875 factors as 3^2 × 5^3 × 7 × 97. Its 48 positive divisors give a proper-divisor sum of 826,077, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 7 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,589,952

Proper Divisor Sum 826,077

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #763859 ← → #763879

Radix Representation

Decimal	763875
Binary	10111010011111100011 (20 bits)
Octal	0o2723743
Hexadecimal	0xBA7E3

Divisor Catalog (48)

1 3 5 7 9 15 21 25 35 45 63 75 97 105 125 175 225 291 315 375 485 525 679 873 875 1,125 1,455 1,575 2,037 2,425 2,625 3,395 4,365 6,111 7,275 7,875 10,185 12,125 16,975 21,825 30,555 36,375 50,925 84,875 109,125 152,775 254,625 763,875

Collatz Trajectory (105 steps to reach 1)

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

763,875 2,291,626 1,145,813 3,437,440 1,718,720 859,360 429,680 214,840 107,420 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718 359 1,078 539 1,618 809

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