λ
Integer Codex

2,440,344

23 × 3 × 101681
Abundant Even Composite

For 2,440,344, the 16 positive divisors have a total of 6,100,920. Removing 2,440,344 leaves 3,660,576, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 101681
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,100,920
Proper Divisor Sum 3,660,576
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2440331 ← → #2440363

Radix Representation

Decimal 2440344
Binary 1001010011110010011000 (22 bits)
Octal 0o11236230
Hexadecimal 0x253C98

Divisor Catalog (16)

1 2 3 4 6 8 12 24 101,681 203,362 305,043 406,724 610,086 813,448 1,220,172 2,440,344

Collatz Trajectory (68 steps to reach 1)

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

2,440,344 1,220,172 610,086 305,043 915,130 457,565 1,372,696 686,348 343,174 171,587 514,762 257,381 772,144 386,072 193,036 96,518 48,259 144,778 72,389 217,168 108,584 54,292 27,146 13,573 40,720 20,360 10,180 5,090 2,545 7,636 3,818 1,909 5,728 2,864 1,432 716 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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