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8,223,232

29 × 16061
Deficient Even Composite

8,223,232 factors as 2^9 × 16061. Its 20 positive divisors give a proper-divisor sum of 8,208,194, so this integer is deficient. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^9 × 16061
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 16,431,426
Proper Divisor Sum 8,208,194
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8223217 ← → #8223251

Radix Representation

Decimal 8223232
Binary 11111010111101000000000 (23 bits)
Octal 0o37275000
Hexadecimal 0x7D7A00

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 16,061 32,122 64,244 128,488 256,976 513,952 1,027,904 2,055,808 4,111,616 8,223,232

Collatz Trajectory (54 steps to reach 1)

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

8,223,232 4,111,616 2,055,808 1,027,904 513,952 256,976 128,488 64,244 32,122 16,061 48,184 24,092 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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