775,640

2³ × 5 × 19391

775,640 factors as 2^3 × 5 × 19391. Its 16 positive divisors give a proper-divisor sum of 969,640, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19391

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,745,280

Proper Divisor Sum 969,640

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #775639 ← → #775661

Radix Representation

Decimal	775640
Binary	10111101010111011000 (20 bits)
Octal	0o2752730
Hexadecimal	0xBD5D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 19,391 38,782 77,564 96,955 155,128 193,910 387,820 775,640

Collatz Trajectory (193 steps to reach 1)

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

775,640 387,820 193,910 96,955 290,866 145,433 436,300 218,150 109,075 327,226 163,613 490,840 245,420 122,710 61,355 184,066 92,033 276,100 138,050 69,025 207,076 103,538 51,769 155,308 77,654 38,827 116,482 58,241 174,724 87,362 43,681 131,044 65,522 32,761 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #775,639 Browse Full Index Next Integer #775,641 →