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640,424

23 × 172 × 277
Deficient Even Composite

640,424 factors as 2^3 × 17^2 × 277. Its 24 positive divisors give a proper-divisor sum of 639,766, so this integer is deficient. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,280,190
Proper Divisor Sum 639,766
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #640421 ← → #640457

Radix Representation

Decimal 640424
Binary 10011100010110101000 (20 bits)
Octal 0o2342650
Hexadecimal 0x9C5A8

Divisor Catalog (24)

1 2 4 8 17 34 68 136 277 289 554 578 1,108 1,156 2,216 2,312 4,709 9,418 18,836 37,672 80,053 160,106 320,212 640,424

Collatz Trajectory (185 steps to reach 1)

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

640,424 320,212 160,106 80,053 240,160 120,080 60,040 30,020 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 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

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