λ
Integer Codex

4,245,240

23 × 3 × 5 × 17 × 2081
Abundant Even Composite

For 4,245,240, the 64 positive divisors have a total of 13,491,360. Removing 4,245,240 leaves 9,246,120, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 17 × 2081
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,491,360
Proper Divisor Sum 9,246,120
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4245239 ← → #4245259

Radix Representation

Decimal 4245240
Binary 10000001100011011111000 (23 bits)
Octal 0o20143370
Hexadecimal 0x40C6F8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1,020 2,040 2,081 4,162 6,243 8,324 10,405 12,486 16,648 20,810 24,972 31,215 35,377 41,620 49,944 62,430 70,754 83,240 106,131 124,860 141,508 176,885 212,262 249,720 283,016 353,770 424,524 530,655 707,540 849,048

Collatz Trajectory (198 steps to reach 1)

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

4,245,240 2,122,620 1,061,310 530,655 1,591,966 795,983 2,387,950 1,193,975 3,581,926 1,790,963 5,372,890 2,686,445 8,059,336 4,029,668 2,014,834 1,007,417 3,022,252 1,511,126 755,563 2,266,690 1,133,345 3,400,036 1,700,018 850,009 2,550,028 1,275,014 637,507 1,912,522 956,261 2,868,784 1,434,392 717,196 358,598 179,299 537,898 268,949 806,848 403,424 201,712 100,856 50,428 25,214 12,607 37,822 18,911 56,734 28,367 85,102 42,551 127,654 63,827 191,482 95,741 287,224 143,612 71,806 35,903 107,710 53,855 161,566

More profiles

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