λ
Integer Codex

2,364,630

2 × 3 × 5 × 232 × 149
Abundant Even Composite

For 2,364,630, the 48 positive divisors have a total of 5,972,400. Removing 2,364,630 leaves 3,607,770, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23^2 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,972,400
Proper Divisor Sum 3,607,770
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2364629 ← → #2364643

Radix Representation

Decimal 2364630
Binary 1001000001010011010110 (22 bits)
Octal 0o11012326
Hexadecimal 0x2414D6

Divisor Catalog (48)

1 2 3 5 6 10 15 23 30 46 69 115 138 149 230 298 345 447 529 690 745 894 1,058 1,490 1,587 2,235 2,645 3,174 3,427 4,470 5,290 6,854 7,935 10,281 15,870 17,135 20,562 34,270 51,405 78,821 102,810 157,642 236,463 394,105 472,926 788,210 1,182,315 2,364,630

Collatz Trajectory (148 steps to reach 1)

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

2,364,630 1,182,315 3,546,946 1,773,473 5,320,420 2,660,210 1,330,105 3,990,316 1,995,158 997,579 2,992,738 1,496,369 4,489,108 2,244,554 1,122,277 3,366,832 1,683,416 841,708 420,854 210,427 631,282 315,641 946,924 473,462 236,731 710,194 355,097 1,065,292 532,646 266,323 798,970 399,485 1,198,456 599,228 299,614 149,807 449,422 224,711 674,134 337,067 1,011,202 505,601 1,516,804 758,402 379,201 1,137,604 568,802 284,401 853,204 426,602 213,301 639,904 319,952 159,976 79,988 39,994 19,997 59,992 29,996 14,998

More profiles

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