775,440

2⁴ × 3³ × 5 × 359

775,440 factors as 2^4 × 3^3 × 5 × 359. Its 80 positive divisors give a proper-divisor sum of 1,902,960, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 2,678,400

Proper Divisor Sum 1,902,960

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #775417 ← → #775441

Radix Representation

Decimal	775440
Binary	10111101010100010000 (20 bits)
Octal	0o2752420
Hexadecimal	0xBD510

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 359 360 432 540 718 720 1,077 1,080 1,436 1,795 2,154 2,160 2,872 3,231 3,590 4,308 5,385 5,744 6,462 7,180 8,616 9,693 10,770 12,924 14,360 16,155

Collatz Trajectory (193 steps to reach 1)

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

775,440 387,720 193,860 96,930 48,465 145,396 72,698 36,349 109,048 54,524 27,262 13,631 40,894 20,447 61,342 30,671 92,014 46,007 138,022 69,011 207,034 103,517 310,552 155,276 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #775,439 Browse Full Index Next Integer #775,441 →