λ
Integer Codex

8,908,480

26 × 5 × 7 × 41 × 97
Abundant Even Composite

For 8,908,480, the 112 positive divisors have a total of 25,091,136. Removing 8,908,480 leaves 16,182,656, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^6 × 5 × 7 × 41 × 97
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 25,091,136
Proper Divisor Sum 16,182,656
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8908477 ← → #8908483

Radix Representation

Decimal 8908480
Binary 100001111110111011000000 (24 bits)
Octal 0o41767300
Hexadecimal 0x87EEC0

Divisor Catalog (60 of 112)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 64 70 80 82 97 112 140 160 164 194 205 224 280 287 320 328 388 410 448 485 560 574 656 679 776 820 970 1,120 1,148 1,312 1,358 1,435 1,552 1,640 1,940 2,240 2,296 2,624 2,716 2,870 3,104 3,280 3,395 3,880

Collatz Trajectory (212 steps to reach 1)

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

8,908,480 4,454,240 2,227,120 1,113,560 556,780 278,390 139,195 417,586 208,793 626,380 313,190 156,595 469,786 234,893 704,680 352,340 176,170 88,085 264,256 132,128 66,064 33,032 16,516 8,258 4,129 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590

More profiles

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