λ
Harmonic Matrix

9,676,304

24 × 11 × 54979
Abundant Even Composite

9,676,304 has digital root 8. The neighboring primes are 9676291 and 9676321; its proper-divisor sum differs from the starting integer by 1,099,952.

Prime Factor Structure

Factorization String 2^4 × 11 × 54979
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 20,452,560
Proper Divisor Sum 10,776,256
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9676291 ← → #9676321

Radix Representation

Decimal 9676304
Binary 100100111010011000010000 (24 bits)
Octal 0o44723020
Hexadecimal 0x93A610

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 54,979 109,958 219,916 439,832 604,769 879,664 1,209,538 2,419,076 4,838,152 9,676,304

Collatz Trajectory (176 steps to reach 1)

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

9,676,304 4,838,152 2,419,076 1,209,538 604,769 1,814,308 907,154 453,577 1,360,732 680,366 340,183 1,020,550 510,275 1,530,826 765,413 2,296,240 1,148,120 574,060 287,030 143,515 430,546 215,273 645,820 322,910 161,455 484,366 242,183 726,550 363,275 1,089,826 544,913 1,634,740 817,370 408,685 1,226,056 613,028 306,514 153,257 459,772 229,886 114,943 344,830 172,415 517,246 258,623 775,870 387,935 1,163,806 581,903 1,745,710 872,855 2,618,566 1,309,283 3,927,850 1,963,925 5,891,776 2,945,888 1,472,944 736,472 368,236

More profiles

← Previous Integer #9,676,303 Browse Full Index Next Integer #9,676,305 →