λ
Prime Ledger

7,431,232

26 × 116113
Deficient Even Composite

7,431,232 has the prime decomposition 2^6 × 116113. Its 2 distinct prime factors produce 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 116113
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 14
Divisor Sum (σ) 14,746,478
Proper Divisor Sum 7,315,246
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7431211 ← → #7431247

Radix Representation

Decimal 7431232
Binary 11100010110010001000000 (23 bits)
Octal 0o34262100
Hexadecimal 0x716440

Divisor Catalog (14)

1 2 4 8 16 32 64 116,113 232,226 464,452 928,904 1,857,808 3,715,616 7,431,232

Collatz Trajectory (204 steps to reach 1)

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

7,431,232 3,715,616 1,857,808 928,904 464,452 232,226 116,113 348,340 174,170 87,085 261,256 130,628 65,314 32,657 97,972 48,986 24,493 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310

More profiles

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