757,983

3 × 307 × 823

757,983 factors as 3 × 307 × 823. Its 8 positive divisors give a proper-divisor sum of 257,185, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 307 × 823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,015,168

Proper Divisor Sum 257,185

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #757951 ← → #757993

Radix Representation

Decimal	757983
Binary	10111001000011011111 (20 bits)
Octal	0o2710337
Hexadecimal	0xB90DF

Divisor Catalog (8)

1 3 307 823 921 2,469 252,661 757,983

Collatz Trajectory (180 steps to reach 1)

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

757,983 2,273,950 1,136,975 3,410,926 1,705,463 5,116,390 2,558,195 7,674,586 3,837,293 11,511,880 5,755,940 2,877,970 1,438,985 4,316,956 2,158,478 1,079,239 3,237,718 1,618,859 4,856,578 2,428,289 7,284,868 3,642,434 1,821,217 5,463,652 2,731,826 1,365,913 4,097,740 2,048,870 1,024,435 3,073,306 1,536,653 4,609,960 2,304,980 1,152,490 576,245 1,728,736 864,368 432,184 216,092 108,046 54,023 162,070 81,035 243,106 121,553 364,660 182,330 91,165 273,496 136,748 68,374 34,187 102,562 51,281 153,844 76,922 38,461 115,384 57,692 28,846

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