λ
Integer Codex

2,463,096

23 × 3 × 17 × 6037
Abundant Even Composite

For 2,463,096, the 32 positive divisors have a total of 6,521,040. Removing 2,463,096 leaves 4,057,944, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 6037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,521,040
Proper Divisor Sum 4,057,944
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2463077 ← → #2463101

Radix Representation

Decimal 2463096
Binary 1001011001010101111000 (22 bits)
Octal 0o11312570
Hexadecimal 0x259578

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 6,037 12,074 18,111 24,148 36,222 48,296 72,444 102,629 144,888 205,258 307,887 410,516 615,774 821,032 1,231,548 2,463,096

Collatz Trajectory (311 steps to reach 1)

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

2,463,096 1,231,548 615,774 307,887 923,662 461,831 1,385,494 692,747 2,078,242 1,039,121 3,117,364 1,558,682 779,341 2,338,024 1,169,012 584,506 292,253 876,760 438,380 219,190 109,595 328,786 164,393 493,180 246,590 123,295 369,886 184,943 554,830 277,415 832,246 416,123 1,248,370 624,185 1,872,556 936,278 468,139 1,404,418 702,209 2,106,628 1,053,314 526,657 1,579,972 789,986 394,993 1,184,980 592,490 296,245 888,736 444,368 222,184 111,092 55,546 27,773 83,320 41,660 20,830 10,415 31,246 15,623

More profiles

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