λ
Prime Ledger

4,268,712

23 × 3 × 7 × 25409
Abundant Even Composite

4,268,712 has the prime decomposition 2^3 × 3 × 7 × 25409. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 25409
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,196,800
Proper Divisor Sum 7,928,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4268699 ← → #4268729

Radix Representation

Decimal 4268712
Binary 10000010010001010101000 (23 bits)
Octal 0o20221250
Hexadecimal 0x4122A8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 25,409 50,818 76,227 101,636 152,454 177,863 203,272 304,908 355,726 533,589 609,816 711,452 1,067,178 1,422,904 2,134,356 4,268,712

Collatz Trajectory (167 steps to reach 1)

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

4,268,712 2,134,356 1,067,178 533,589 1,600,768 800,384 400,192 200,096 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760

More profiles

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