λ
Sigma Notebook

655,435

5 × 11 × 17 × 701
Deficient Odd Composite

655,435 is odd and not a perfect square. Its factorization is 5 × 11 × 17 × 701 and its 16 divisors sum to 909,792.

Prime Factor Structure

Factorization String 5 × 11 × 17 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 909,792
Proper Divisor Sum 254,357
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #655399 ← → #655439

Radix Representation

Decimal 655435
Binary 10100000000001001011 (20 bits)
Octal 0o2400113
Hexadecimal 0xA004B

Divisor Catalog (16)

1 5 11 17 55 85 187 701 935 3,505 7,711 11,917 38,555 59,585 131,087 655,435

Collatz Trajectory (185 steps to reach 1)

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

655,435 1,966,306 983,153 2,949,460 1,474,730 737,365 2,212,096 1,106,048 553,024 276,512 138,256 69,128 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 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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