λ
Integer Codex

6,492,340

22 × 5 × 324617
Abundant Even Composite

For 6,492,340, the 12 positive divisors have a total of 13,633,956. Removing 6,492,340 leaves 7,141,616, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 5 × 324617
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,633,956
Proper Divisor Sum 7,141,616
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6492337 ← → #6492373

Radix Representation

Decimal 6492340
Binary 11000110001000010110100 (23 bits)
Octal 0o30610264
Hexadecimal 0x6310B4

Divisor Catalog (12)

1 2 4 5 10 20 324,617 649,234 1,298,468 1,623,085 3,246,170 6,492,340

Collatz Trajectory (209 steps to reach 1)

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

6,492,340 3,246,170 1,623,085 4,869,256 2,434,628 1,217,314 608,657 1,825,972 912,986 456,493 1,369,480 684,740 342,370 171,185 513,556 256,778 128,389 385,168 192,584 96,292 48,146 24,073 72,220 36,110 18,055 54,166 27,083 81,250 40,625 121,876 60,938 30,469 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145

More profiles

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