λ
Prime Ledger

4,089,172

22 × 59 × 17327
Deficient Even Composite

4,089,172 has the prime decomposition 2^2 × 59 × 17327. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 59 × 17327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,277,760
Proper Divisor Sum 3,188,588
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4089167 ← → #4089191

Radix Representation

Decimal 4089172
Binary 1111100110010101010100 (22 bits)
Octal 0o17462524
Hexadecimal 0x3E6554

Divisor Catalog (12)

1 2 4 59 118 236 17,327 34,654 69,308 1,022,293 2,044,586 4,089,172

Collatz Trajectory (61 steps to reach 1)

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

4,089,172 2,044,586 1,022,293 3,066,880 1,533,440 766,720 383,360 191,680 95,840 47,920 23,960 11,980 5,990 2,995 8,986 4,493 13,480 6,740 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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