678,354

2 × 3 × 167 × 677

678,354 factors as 2 × 3 × 167 × 677. Its 16 positive divisors give a proper-divisor sum of 688,494, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3 × 167 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,366,848

Proper Divisor Sum 688,494

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #678343 ← → #678367

Radix Representation

Decimal	678354
Binary	10100101100111010010 (20 bits)
Octal	0o2454722
Hexadecimal	0xA59D2

Divisor Catalog (16)

1 2 3 6 167 334 501 677 1,002 1,354 2,031 4,062 113,059 226,118 339,177 678,354

Collatz Trajectory (123 steps to reach 1)

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

678,354 339,177 1,017,532 508,766 254,383 763,150 381,575 1,144,726 572,363 1,717,090 858,545 2,575,636 1,287,818 643,909 1,931,728 965,864 482,932 241,466 120,733 362,200 181,100 90,550 45,275 135,826 67,913 203,740 101,870 50,935 152,806 76,403 229,210 114,605 343,816 171,908 85,954 42,977 128,932 64,466 32,233 96,700 48,350 24,175 72,526 36,263 108,790 54,395 163,186 81,593 244,780 122,390 61,195 183,586 91,793 275,380 137,690 68,845 206,536 103,268 51,634 25,817

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