λ
Prime Ledger

4,691,088

24 × 33 × 10859
Abundant Even Composite

4,691,088 has the prime decomposition 2^4 × 3^3 × 10859. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 10859
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,466,400
Proper Divisor Sum 8,775,312
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4691087 ← → #4691107

Radix Representation

Decimal 4691088
Binary 10001111001010010010000 (23 bits)
Octal 0o21712220
Hexadecimal 0x479490

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 10,859 21,718 32,577 43,436 65,154 86,872 97,731 130,308 173,744 195,462 260,616 293,193 390,924 521,232 586,386 781,848 1,172,772 1,563,696 2,345,544 4,691,088

Collatz Trajectory (105 steps to reach 1)

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

4,691,088 2,345,544 1,172,772 586,386 293,193 879,580 439,790 219,895 659,686 329,843 989,530 494,765 1,484,296 742,148 371,074 185,537 556,612 278,306 139,153 417,460 208,730 104,365 313,096 156,548 78,274 39,137 117,412 58,706 29,353 88,060 44,030 22,015 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512 29,756

More profiles

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