678,200

2³ × 5² × 3391

678,200 factors as 2^3 × 5^2 × 3391. Its 24 positive divisors give a proper-divisor sum of 899,080, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 3391

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,577,280

Proper Divisor Sum 899,080

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #678199 ← → #678203

Radix Representation

Decimal	678200
Binary	10100101100100111000 (20 bits)
Octal	0o2454470
Hexadecimal	0xA5938

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 3,391 6,782 13,564 16,955 27,128 33,910 67,820 84,775 135,640 169,550 339,100 678,200

Collatz Trajectory (167 steps to reach 1)

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

678,200 339,100 169,550 84,775 254,326 127,163 381,490 190,745 572,236 286,118 143,059 429,178 214,589 643,768 321,884 160,942 80,471 241,414 120,707 362,122 181,061 543,184 271,592 135,796 67,898 33,949 101,848 50,924 25,462 12,731 38,194 19,097 57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303

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