λ
Prime Ledger

6,401,872

24 × 31 × 12907
Abundant Even Composite

6,401,872 has the prime decomposition 2^4 × 31 × 12907. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 31 × 12907
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 12,804,736
Proper Divisor Sum 6,402,864
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6401869 ← → #6401887

Radix Representation

Decimal 6401872
Binary 11000011010111101010000 (23 bits)
Octal 0o30327520
Hexadecimal 0x61AF50

Divisor Catalog (20)

1 2 4 8 16 31 62 124 248 496 12,907 25,814 51,628 103,256 206,512 400,117 800,234 1,600,468 3,200,936 6,401,872

Collatz Trajectory (165 steps to reach 1)

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

6,401,872 3,200,936 1,600,468 800,234 400,117 1,200,352 600,176 300,088 150,044 75,022 37,511 112,534 56,267 168,802 84,401 253,204 126,602 63,301 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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