λ
Harmonic Matrix

8,834,384

24 × 13 × 42473
Abundant Even Composite

8,834,384 has digital root 2. The neighboring primes are 8834383 and 8834389; its proper-divisor sum differs from the starting integer by 764,948.

Prime Factor Structure

Factorization String 2^4 × 13 × 42473
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,433,716
Proper Divisor Sum 9,599,332
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8834383 ← → #8834389

Radix Representation

Decimal 8834384
Binary 100001101100110101010000 (24 bits)
Octal 0o41546520
Hexadecimal 0x86CD50

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 42,473 84,946 169,892 339,784 552,149 679,568 1,104,298 2,208,596 4,417,192 8,834,384

Collatz Trajectory (62 steps to reach 1)

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

8,834,384 4,417,192 2,208,596 1,104,298 552,149 1,656,448 828,224 414,112 207,056 103,528 51,764 25,882 12,941 38,824 19,412 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

More profiles

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