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6,400,872

23 × 32 × 19 × 4679
Abundant Even Composite

6,400,872 factors as 2^3 × 3^2 × 19 × 4679. Its 48 positive divisors give a proper-divisor sum of 11,851,128, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 19 × 4679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,252,000
Proper Divisor Sum 11,851,128
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6400843 ← → #6400873

Radix Representation

Decimal 6400872
Binary 11000011010101101101000 (23 bits)
Octal 0o30325550
Hexadecimal 0x61AB68

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1,368 4,679 9,358 14,037 18,716 28,074 37,432 42,111 56,148 84,222 88,901 112,296 168,444 177,802 266,703 336,888 355,604 533,406 711,208 800,109 1,066,812 1,600,218 2,133,624 3,200,436 6,400,872

Collatz Trajectory (165 steps to reach 1)

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

6,400,872 3,200,436 1,600,218 800,109 2,400,328 1,200,164 600,082 300,041 900,124 450,062 225,031 675,094 337,547 1,012,642 506,321 1,518,964 759,482 379,741 1,139,224 569,612 284,806 142,403 427,210 213,605 640,816 320,408 160,204 80,102 40,051 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188

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