λ
Sigma Notebook

928,605

3 × 5 × 31 × 1997
Deficient Odd Composite

928,605 is odd and not a perfect square. Its factorization is 3 × 5 × 31 × 1997 and its 16 divisors sum to 1,534,464.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 1997
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,534,464
Proper Divisor Sum 605,859
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #928597 ← → #928607

Radix Representation

Decimal 928605
Binary 11100010101101011101 (20 bits)
Octal 0o3425535
Hexadecimal 0xE2B5D

Divisor Catalog (16)

1 3 5 15 31 93 155 465 1,997 5,991 9,985 29,955 61,907 185,721 309,535 928,605

Collatz Trajectory (77 steps to reach 1)

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

928,605 2,785,816 1,392,908 696,454 348,227 1,044,682 522,341 1,567,024 783,512 391,756 195,878 97,939 293,818 146,909 440,728 220,364 110,182 55,091 165,274 82,637 247,912 123,956 61,978 30,989 92,968 46,484 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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