λ
Sigma Notebook

450,592

25 × 14081
Deficient Even Composite

450,592 is even and not a perfect square. Its factorization is 2^5 × 14081 and its 12 divisors sum to 887,166.

Prime Factor Structure

Factorization String 2^5 × 14081
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 887,166
Proper Divisor Sum 436,574
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #450587 ← → #450599

Radix Representation

Decimal 450592
Binary 1101110000000100000 (19 bits)
Octal 0o1560040
Hexadecimal 0x6E020

Divisor Catalog (12)

1 2 4 8 16 32 14,081 28,162 56,324 112,648 225,296 450,592

Collatz Trajectory (63 steps to reach 1)

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

450,592 225,296 112,648 56,324 28,162 14,081 42,244 21,122 10,561 31,684 15,842 7,921 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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