713,625

3 × 5³ × 11 × 173

713,625 has digital root 6. The neighboring primes are 713611 and 713627; its proper-divisor sum differs from the starting integer by -124,338.

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,302,912

Proper Divisor Sum 589,287

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #713611 ← → #713627

Radix Representation

Decimal	713625
Binary	10101110001110011001 (20 bits)
Octal	0o2561631
Hexadecimal	0xAE399

Divisor Catalog (32)

1 3 5 11 15 25 33 55 75 125 165 173 275 375 519 825 865 1,375 1,903 2,595 4,125 4,325 5,709 9,515 12,975 21,625 28,545 47,575 64,875 142,725 237,875 713,625

Collatz Trajectory (123 steps to reach 1)

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

713,625 2,140,876 1,070,438 535,219 1,605,658 802,829 2,408,488 1,204,244 602,122 301,061 903,184 451,592 225,796 112,898 56,449 169,348 84,674 42,337 127,012 63,506 31,753 95,260 47,630 23,815 71,446 35,723 107,170 53,585 160,756 80,378 40,189 120,568 60,284 30,142 15,071 45,214 22,607 67,822 33,911 101,734 50,867 152,602 76,301 228,904 114,452 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755

← Previous Integer #713,624 Browse Full Index Next Integer #713,626 →