λ
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656,720

24 × 5 × 8209
Abundant Even Composite

656,720 factors as 2^4 × 5 × 8209. Its 20 positive divisors give a proper-divisor sum of 870,340, so this integer is abundant. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 8209
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,527,060
Proper Divisor Sum 870,340
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #656707 ← → #656737

Radix Representation

Decimal 656720
Binary 10100000010101010000 (20 bits)
Octal 0o2402520
Hexadecimal 0xA0550

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 8,209 16,418 32,836 41,045 65,672 82,090 131,344 164,180 328,360 656,720

Collatz Trajectory (61 steps to reach 1)

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

656,720 328,360 164,180 82,090 41,045 123,136 61,568 30,784 15,392 7,696 3,848 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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