764,022

2 × 3 × 7 × 18191

764,022 factors as 2 × 3 × 7 × 18191. Its 16 positive divisors give a proper-divisor sum of 982,410, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 18191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,746,432

Proper Divisor Sum 982,410

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #764021 ← → #764041

Radix Representation

Decimal	764022
Binary	10111010100001110110 (20 bits)
Octal	0o2724166
Hexadecimal	0xBA876

Divisor Catalog (16)

1 2 3 6 7 14 21 42 18,191 36,382 54,573 109,146 127,337 254,674 382,011 764,022

Collatz Trajectory (105 steps to reach 1)

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

764,022 382,011 1,146,034 573,017 1,719,052 859,526 429,763 1,289,290 644,645 1,933,936 966,968 483,484 241,742 120,871 362,614 181,307 543,922 271,961 815,884 407,942 203,971 611,914 305,957 917,872 458,936 229,468 114,734 57,367 172,102 86,051 258,154 129,077 387,232 193,616 96,808 48,404 24,202 12,101 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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