λ
Math Directory

754,645

5 × 150929
Deficient Odd Composite

754,645 factors as 5 × 150929. Its 4 positive divisors give a proper-divisor sum of 150,935, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 5 × 150929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 905,580
Proper Divisor Sum 150,935
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #754639 ← → #754651

Radix Representation

Decimal 754645
Binary 10111000001111010101 (20 bits)
Octal 0o2701725
Hexadecimal 0xB83D5

Divisor Catalog (4)

1 5 150,929 754,645

Collatz Trajectory (87 steps to reach 1)

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

754,645 2,263,936 1,131,968 565,984 282,992 141,496 70,748 35,374 17,687 53,062 26,531 79,594 39,797 119,392 59,696 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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