729,475

5² × 29179

729,475 factors as 5^2 × 29179. Its 6 positive divisors give a proper-divisor sum of 175,105, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 5^2 × 29179

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 904,580

Proper Divisor Sum 175,105

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #729473 ← → #729493

Radix Representation

Decimal	729475
Binary	10110010000110000011 (20 bits)
Octal	0o2620603
Hexadecimal	0xB2183

Divisor Catalog (6)

1 5 25 29,179 145,895 729,475

Collatz Trajectory (211 steps to reach 1)

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

729,475 2,188,426 1,094,213 3,282,640 1,641,320 820,660 410,330 205,165 615,496 307,748 153,874 76,937 230,812 115,406 57,703 173,110 86,555 259,666 129,833 389,500 194,750 97,375 292,126 146,063 438,190 219,095 657,286 328,643 985,930 492,965 1,478,896 739,448 369,724 184,862 92,431 277,294 138,647 415,942 207,971 623,914 311,957 935,872 467,936 233,968 116,984 58,492 29,246 14,623 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576

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