λ
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8,908,640

25 × 5 × 13 × 4283
Abundant Even Composite

8,908,640 factors as 2^5 × 5 × 13 × 4283. Its 48 positive divisors give a proper-divisor sum of 13,762,288, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 4283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,670,928
Proper Divisor Sum 13,762,288
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8908637 ← → #8908667

Radix Representation

Decimal 8908640
Binary 100001111110111101100000 (24 bits)
Octal 0o41767540
Hexadecimal 0x87EF60

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 4,283 8,566 17,132 21,415 34,264 42,830 55,679 68,528 85,660 111,358 137,056 171,320 222,716 278,395 342,640 445,432 556,790 685,280 890,864 1,113,580 1,781,728 2,227,160 4,454,320 8,908,640

Collatz Trajectory (181 steps to reach 1)

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

8,908,640 4,454,320 2,227,160 1,113,580 556,790 278,395 835,186 417,593 1,252,780 626,390 313,195 939,586 469,793 1,409,380 704,690 352,345 1,057,036 528,518 264,259 792,778 396,389 1,189,168 594,584 297,292 148,646 74,323 222,970 111,485 334,456 167,228 83,614 41,807 125,422 62,711 188,134 94,067 282,202 141,101 423,304 211,652 105,826 52,913 158,740 79,370 39,685 119,056 59,528 29,764 14,882 7,441 22,324 11,162 5,581 16,744 8,372 4,186 2,093 6,280 3,140 1,570

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