684,392

2³ × 85549

684,392 factors as 2^3 × 85549. Its 8 positive divisors give a proper-divisor sum of 598,858, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 85549

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,283,250

Proper Divisor Sum 598,858

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #684379 ← → #684407

Radix Representation

Decimal	684392
Binary	10100111000101101000 (20 bits)
Octal	0o2470550
Hexadecimal	0xA7168

Divisor Catalog (8)

1 2 4 8 85,549 171,098 342,196 684,392

Collatz Trajectory (167 steps to reach 1)

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

684,392 342,196 171,098 85,549 256,648 128,324 64,162 32,081 96,244 48,122 24,061 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062

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