λ
Prime Ledger

4,264,572

22 × 3 × 13 × 27337
Abundant Even Composite

4,264,572 has the prime decomposition 2^2 × 3 × 13 × 27337. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 27337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,716,496
Proper Divisor Sum 6,451,924
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4264567 ← → #4264597

Radix Representation

Decimal 4264572
Binary 10000010001001001111100 (23 bits)
Octal 0o20211174
Hexadecimal 0x41127C

Divisor Catalog (24)

1 2 3 4 6 12 13 26 39 52 78 156 27,337 54,674 82,011 109,348 164,022 328,044 355,381 710,762 1,066,143 1,421,524 2,132,286 4,264,572

Collatz Trajectory (180 steps to reach 1)

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

4,264,572 2,132,286 1,066,143 3,198,430 1,599,215 4,797,646 2,398,823 7,196,470 3,598,235 10,794,706 5,397,353 16,192,060 8,096,030 4,048,015 12,144,046 6,072,023 18,216,070 9,108,035 27,324,106 13,662,053 40,986,160 20,493,080 10,246,540 5,123,270 2,561,635 7,684,906 3,842,453 11,527,360 5,763,680 2,881,840 1,440,920 720,460 360,230 180,115 540,346 270,173 810,520 405,260 202,630 101,315 303,946 151,973 455,920 227,960 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049

More profiles

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