727,956

2² × 3² × 73 × 277

727,956 has the prime decomposition 2^2 × 3^2 × 73 × 277. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 73 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 1,872,052

Proper Divisor Sum 1,144,096

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #727949 ← → #727981

Radix Representation

Decimal	727956
Binary	10110001101110010100 (20 bits)
Octal	0o2615624
Hexadecimal	0xB1B94

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 73 146 219 277 292 438 554 657 831 876 1,108 1,314 1,662 2,493 2,628 3,324 4,986 9,972 20,221 40,442 60,663 80,884 121,326 181,989 242,652 363,978 727,956

Collatz Trajectory (87 steps to reach 1)

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

727,956 363,978 181,989 545,968 272,984 136,492 68,246 34,123 102,370 51,185 153,556 76,778 38,389 115,168 57,584 28,792 14,396 7,198 3,599 10,798 5,399 16,198 8,099 24,298 12,149 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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