λ
Prime Ledger

5,397,152

25 × 227 × 743
Deficient Even Composite

5,397,152 has the prime decomposition 2^5 × 227 × 743. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 227 × 743
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,686,816
Proper Divisor Sum 5,289,664
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5397127 ← → #5397163

Radix Representation

Decimal 5397152
Binary 10100100101101010100000 (23 bits)
Octal 0o24455240
Hexadecimal 0x525AA0

Divisor Catalog (24)

1 2 4 8 16 32 227 454 743 908 1,486 1,816 2,972 3,632 5,944 7,264 11,888 23,776 168,661 337,322 674,644 1,349,288 2,698,576 5,397,152

Collatz Trajectory (64 steps to reach 1)

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

5,397,152 2,698,576 1,349,288 674,644 337,322 168,661 505,984 252,992 126,496 63,248 31,624 15,812 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236 118 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

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