762,980

2² × 5 × 38149

762,980 factors as 2^2 × 5 × 38149. Its 12 positive divisors give a proper-divisor sum of 839,320, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 38149

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,602,300

Proper Divisor Sum 839,320

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #762973 ← → #762989

Radix Representation

Decimal	762980
Binary	10111010010001100100 (20 bits)
Octal	0o2722144
Hexadecimal	0xBA464

Divisor Catalog (12)

1 2 4 5 10 20 38,149 76,298 152,596 190,745 381,490 762,980

Collatz Trajectory (162 steps to reach 1)

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

762,980 381,490 190,745 572,236 286,118 143,059 429,178 214,589 643,768 321,884 160,942 80,471 241,414 120,707 362,122 181,061 543,184 271,592 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050

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