725,684

2² × 181421

725,684 has the prime decomposition 2^2 × 181421. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 181421

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,269,954

Proper Divisor Sum 544,270

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #725671 ← → #725687

Radix Representation

Decimal	725684
Binary	10110001001010110100 (20 bits)
Octal	0o2611264
Hexadecimal	0xB12B4

Divisor Catalog (6)

1 2 4 181,421 362,842 725,684

Collatz Trajectory (92 steps to reach 1)

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

725,684 362,842 181,421 544,264 272,132 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769

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