684,117

3² × 7 × 10859

684,117 factors as 3^2 × 7 × 10859. Its 12 positive divisors give a proper-divisor sum of 445,323, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 10859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,129,440

Proper Divisor Sum 445,323

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #684113 ← → #684119

Radix Representation

Decimal	684117
Binary	10100111000001010101 (20 bits)
Octal	0o2470125
Hexadecimal	0xA7055

Divisor Catalog (12)

1 3 7 9 21 63 10,859 32,577 76,013 97,731 228,039 684,117

Collatz Trajectory (154 steps to reach 1)

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

684,117 2,052,352 1,026,176 513,088 256,544 128,272 64,136 32,068 16,034 8,017 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728

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