752,991

3 × 499 × 503

752,991 factors as 3 × 499 × 503. Its 8 positive divisors give a proper-divisor sum of 255,009, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 499 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,008,000

Proper Divisor Sum 255,009

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #752977 ← → #752993

Radix Representation

Decimal	752991
Binary	10110111110101011111 (20 bits)
Octal	0o2676537
Hexadecimal	0xB7D5F

Divisor Catalog (8)

1 3 499 503 1,497 1,509 250,997 752,991

Collatz Trajectory (87 steps to reach 1)

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

752,991 2,258,974 1,129,487 3,388,462 1,694,231 5,082,694 2,541,347 7,624,042 3,812,021 11,436,064 5,718,032 2,859,016 1,429,508 714,754 357,377 1,072,132 536,066 268,033 804,100 402,050 201,025 603,076 301,538 150,769 452,308 226,154 113,077 339,232 169,616 84,808 42,404 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134

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