λ
Harmonic Matrix

9,522,384

24 × 3 × 283 × 701
Abundant Even Composite

9,522,384 has digital root 6. The neighboring primes are 9522379 and 9522407; its proper-divisor sum differs from the starting integer by 5,676,864.

Prime Factor Structure

Factorization String 2^4 × 3 × 283 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,721,632
Proper Divisor Sum 15,199,248
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9522379 ← → #9522407

Radix Representation

Decimal 9522384
Binary 100100010100110011010000 (24 bits)
Octal 0o44246320
Hexadecimal 0x914CD0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 283 566 701 849 1,132 1,402 1,698 2,103 2,264 2,804 3,396 4,206 4,528 5,608 6,792 8,412 11,216 13,584 16,824 33,648 198,383 396,766 595,149 793,532 1,190,298 1,587,064 2,380,596 3,174,128 4,761,192 9,522,384

Collatz Trajectory (145 steps to reach 1)

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

9,522,384 4,761,192 2,380,596 1,190,298 595,149 1,785,448 892,724 446,362 223,181 669,544 334,772 167,386 83,693 251,080 125,540 62,770 31,385 94,156 47,078 23,539 70,618 35,309 105,928 52,964 26,482 13,241 39,724 19,862 9,931 29,794 14,897 44,692 22,346 11,173 33,520 16,760 8,380 4,190 2,095 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679

More profiles

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