λ
Sigma Notebook

509,924

22 × 127481
Deficient Even Composite

509,924 is even and not a perfect square. Its factorization is 2^2 × 127481 and its 6 divisors sum to 892,374.

Prime Factor Structure

Factorization String 2^2 × 127481
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 892,374
Proper Divisor Sum 382,450
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #509921 ← → #509939

Radix Representation

Decimal 509924
Binary 1111100011111100100 (19 bits)
Octal 0o1743744
Hexadecimal 0x7C7E4

Divisor Catalog (6)

1 2 4 127,481 254,962 509,924

Collatz Trajectory (151 steps to reach 1)

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

509,924 254,962 127,481 382,444 191,222 95,611 286,834 143,417 430,252 215,126 107,563 322,690 161,345 484,036 242,018 121,009 363,028 181,514 90,757 272,272 136,136 68,068 34,034 17,017 51,052 25,526 12,763 38,290 19,145 57,436 28,718 14,359 43,078 21,539 64,618 32,309 96,928 48,464 24,232 12,116 6,058 3,029 9,088 4,544 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91

More profiles

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