707,259

3 × 7 × 33679

707,259 factors as 3 × 7 × 33679. Its 8 positive divisors give a proper-divisor sum of 370,501, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3 × 7 × 33679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,077,760

Proper Divisor Sum 370,501

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #707249 ← → #707261

Radix Representation

Decimal	707259
Binary	10101100101010111011 (20 bits)
Octal	0o2545273
Hexadecimal	0xACABB

Divisor Catalog (8)

1 3 7 21 33,679 101,037 235,753 707,259

Collatz Trajectory (74 steps to reach 1)

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

707,259 2,121,778 1,060,889 3,182,668 1,591,334 795,667 2,387,002 1,193,501 3,580,504 1,790,252 895,126 447,563 1,342,690 671,345 2,014,036 1,007,018 503,509 1,510,528 755,264 377,632 188,816 94,408 47,204 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22

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