λ
Integer Codex

2,325,736

23 × 72 × 17 × 349
Abundant Even Composite

For 2,325,736, the 48 positive divisors have a total of 5,386,500. Removing 2,325,736 leaves 3,060,764, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 17 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,386,500
Proper Divisor Sum 3,060,764
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2325703 ← → #2325749

Radix Representation

Decimal 2325736
Binary 1000110111110011101000 (22 bits)
Octal 0o10676350
Hexadecimal 0x237CE8

Divisor Catalog (48)

1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 349 392 476 698 833 952 1,396 1,666 2,443 2,792 3,332 4,886 5,933 6,664 9,772 11,866 17,101 19,544 23,732 34,202 41,531 47,464 68,404 83,062 136,808 166,124 290,717 332,248 581,434 1,162,868 2,325,736

Collatz Trajectory (99 steps to reach 1)

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

2,325,736 1,162,868 581,434 290,717 872,152 436,076 218,038 109,019 327,058 163,529 490,588 245,294 122,647 367,942 183,971 551,914 275,957 827,872 413,936 206,968 103,484 51,742 25,871 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762

More profiles

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