λ
Harmonic Matrix

8,842,464

25 × 32 × 30703
Abundant Even Composite

8,842,464 has digital root 9. The neighboring primes are 8842453 and 8842487; its proper-divisor sum differs from the starting integer by 7,461,648.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 30703
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,146,576
Proper Divisor Sum 16,304,112
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8842453 ← → #8842487

Radix Representation

Decimal 8842464
Binary 100001101110110011100000 (24 bits)
Octal 0o41566340
Hexadecimal 0x86ECE0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 30,703 61,406 92,109 122,812 184,218 245,624 276,327 368,436 491,248 552,654 736,872 982,496 1,105,308 1,473,744 2,210,616 2,947,488 4,421,232 8,842,464

Collatz Trajectory (119 steps to reach 1)

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

8,842,464 4,421,232 2,210,616 1,105,308 552,654 276,327 828,982 414,491 1,243,474 621,737 1,865,212 932,606 466,303 1,398,910 699,455 2,098,366 1,049,183 3,147,550 1,573,775 4,721,326 2,360,663 7,081,990 3,540,995 10,622,986 5,311,493 15,934,480 7,967,240 3,983,620 1,991,810 995,905 2,987,716 1,493,858 746,929 2,240,788 1,120,394 560,197 1,680,592 840,296 420,148 210,074 105,037 315,112 157,556 78,778 39,389 118,168 59,084 29,542 14,771 44,314 22,157 66,472 33,236 16,618 8,309 24,928 12,464 6,232 3,116 1,558

More profiles

← Previous Integer #8,842,463 Browse Full Index Next Integer #8,842,465 →