725,141

67 × 79 × 137

725,141 factors as 67 × 79 × 137. Its 8 positive divisors give a proper-divisor sum of 25,579, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 67 × 79 × 137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 750,720

Proper Divisor Sum 25,579

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #725119 ← → #725147

Radix Representation

Decimal	725141
Binary	10110001000010010101 (20 bits)
Octal	0o2610225
Hexadecimal	0xB1095

Divisor Catalog (8)

1 67 79 137 5,293 9,179 10,823 725,141

Collatz Trajectory (92 steps to reach 1)

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

725,141 2,175,424 1,087,712 543,856 271,928 135,964 67,982 33,991 101,974 50,987 152,962 76,481 229,444 114,722 57,361 172,084 86,042 43,021 129,064 64,532 32,266 16,133 48,400 24,200 12,100 6,050 3,025 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 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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