721,986

2 × 3 × 120331

721,986 factors as 2 × 3 × 120331. Its 8 positive divisors give a proper-divisor sum of 721,998, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2 × 3 × 120331

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,443,984

Proper Divisor Sum 721,998

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #721979 ← → #721991

Radix Representation

Decimal	721986
Binary	10110000010001000010 (20 bits)
Octal	0o2602102
Hexadecimal	0xB0442

Divisor Catalog (8)

1 2 3 6 120,331 240,662 360,993 721,986

Collatz Trajectory (66 steps to reach 1)

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

721,986 360,993 1,082,980 541,490 270,745 812,236 406,118 203,059 609,178 304,589 913,768 456,884 228,442 114,221 342,664 171,332 85,666 42,833 128,500 64,250 32,125 96,376 48,188 24,094 12,047 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

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