678,621

3 × 31 × 7297

678,621 factors as 3 × 31 × 7297. Its 8 positive divisors give a proper-divisor sum of 255,523, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 3 × 31 × 7297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 934,144

Proper Divisor Sum 255,523

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #678611 ← → #678631

Radix Representation

Decimal	678621
Binary	10100101101011011101 (20 bits)
Octal	0o2455335
Hexadecimal	0xA5ADD

Divisor Catalog (8)

1 3 31 93 7,297 21,891 226,207 678,621

Collatz Trajectory (136 steps to reach 1)

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

678,621 2,035,864 1,017,932 508,966 254,483 763,450 381,725 1,145,176 572,588 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668 25,834

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