λ
Prime Ledger

2,276,172

22 × 32 × 23 × 2749
Abundant Even Composite

2,276,172 has the prime decomposition 2^2 × 3^2 × 23 × 2749. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 2749
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,006,000
Proper Divisor Sum 3,729,828
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2276171 ← → #2276179

Radix Representation

Decimal 2276172
Binary 1000101011101101001100 (22 bits)
Octal 0o10535514
Hexadecimal 0x22BB4C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2,749 5,498 8,247 10,996 16,494 24,741 32,988 49,482 63,227 98,964 126,454 189,681 252,908 379,362 569,043 758,724 1,138,086 2,276,172

Collatz Trajectory (104 steps to reach 1)

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

2,276,172 1,138,086 569,043 1,707,130 853,565 2,560,696 1,280,348 640,174 320,087 960,262 480,131 1,440,394 720,197 2,160,592 1,080,296 540,148 270,074 135,037 405,112 202,556 101,278 50,639 151,918 75,959 227,878 113,939 341,818 170,909 512,728 256,364 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438

More profiles

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