λ
Prime Ledger

8,907,496

23 × 13 × 41 × 2089
Abundant Even Composite

8,907,496 has the prime decomposition 2^3 × 13 × 41 × 2089. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 41 × 2089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,433,800
Proper Divisor Sum 9,526,304
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8907469 ← → #8907497

Radix Representation

Decimal 8907496
Binary 100001111110101011101000 (24 bits)
Octal 0o41765350
Hexadecimal 0x87EAE8

Divisor Catalog (32)

1 2 4 8 13 26 41 52 82 104 164 328 533 1,066 2,089 2,132 4,178 4,264 8,356 16,712 27,157 54,314 85,649 108,628 171,298 217,256 342,596 685,192 1,113,437 2,226,874 4,453,748 8,907,496

Collatz Trajectory (119 steps to reach 1)

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

8,907,496 4,453,748 2,226,874 1,113,437 3,340,312 1,670,156 835,078 417,539 1,252,618 626,309 1,878,928 939,464 469,732 234,866 117,433 352,300 176,150 88,075 264,226 132,113 396,340 198,170 99,085 297,256 148,628 74,314 37,157 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422

More profiles

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