765,000

2³ × 3² × 5⁴ × 17

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^4 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,741,310

Proper Divisor Sum 1,976,310

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #764999 ← → #765007

Radix Representation

Decimal	765000
Binary	10111010110001001000 (20 bits)
Octal	0o2726110
Hexadecimal	0xBAC48

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 125 136 150 153 170 180 200 204 225 250 255 300 306 340 360 375 408 425 450 500 510 600 612 625 680 750 765 850

Collatz Trajectory (180 steps to reach 1)

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

765,000 382,500 191,250 95,625 286,876 143,438 71,719 215,158 107,579 322,738 161,369 484,108 242,054 121,027 363,082 181,541 544,624 272,312 136,156 68,078 34,039 102,118 51,059 153,178 76,589 229,768 114,884 57,442 28,721 86,164 43,082 21,541 64,624 32,312 16,156 8,078 4,039 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #764,999 Browse Full Index Next Integer #765,001 →