λ
Integer Codex

2,724,564

22 × 3 × 109 × 2083
Abundant Even Composite

For 2,724,564, the 24 positive divisors have a total of 6,418,720. Removing 2,724,564 leaves 3,694,156, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 109 × 2083
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,418,720
Proper Divisor Sum 3,694,156
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2724563 ← → #2724583

Radix Representation

Decimal 2724564
Binary 1010011001001011010100 (22 bits)
Octal 0o12311324
Hexadecimal 0x2992D4

Divisor Catalog (24)

1 2 3 4 6 12 109 218 327 436 654 1,308 2,083 4,166 6,249 8,332 12,498 24,996 227,047 454,094 681,141 908,188 1,362,282 2,724,564

Collatz Trajectory (63 steps to reach 1)

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

2,724,564 1,362,282 681,141 2,043,424 1,021,712 510,856 255,428 127,714 63,857 191,572 95,786 47,893 143,680 71,840 35,920 17,960 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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