λ
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655,648

25 × 7 × 2927
Abundant Even Composite

655,648 factors as 2^5 × 7 × 2927. Its 24 positive divisors give a proper-divisor sum of 820,064, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 2927
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,475,712
Proper Divisor Sum 820,064
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #655643 ← → #655649

Radix Representation

Decimal 655648
Binary 10100000000100100000 (20 bits)
Octal 0o2400440
Hexadecimal 0xA0120

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 2,927 5,854 11,708 20,489 23,416 40,978 46,832 81,956 93,664 163,912 327,824 655,648

Collatz Trajectory (185 steps to reach 1)

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

655,648 327,824 163,912 81,956 40,978 20,489 61,468 30,734 15,367 46,102 23,051 69,154 34,577 103,732 51,866 25,933 77,800 38,900 19,450 9,725 29,176 14,588 7,294 3,647 10,942 5,471 16,414 8,207 24,622 12,311 36,934 18,467 55,402 27,701 83,104 41,552 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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