757,133

13 × 139 × 419

757,133 factors as 13 × 139 × 419. Its 8 positive divisors give a proper-divisor sum of 66,067, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 13 × 139 × 419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 823,200

Proper Divisor Sum 66,067

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #757111 ← → #757151

Radix Representation

Decimal	757133
Binary	10111000110110001101 (20 bits)
Octal	0o2706615
Hexadecimal	0xB8D8D

Divisor Catalog (8)

1 13 139 419 1,807 5,447 58,241 757,133

Collatz Trajectory (87 steps to reach 1)

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

757,133 2,271,400 1,135,700 567,850 283,925 851,776 425,888 212,944 106,472 53,236 26,618 13,309 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

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