λ
Harmonic Matrix

9,252,024

23 × 3 × 385501
Abundant Even Composite

9,252,024 has digital root 6. The neighboring primes are 9252013 and 9252041; its proper-divisor sum differs from the starting integer by 4,626,072.

Prime Factor Structure

Factorization String 2^3 × 3 × 385501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 23,130,120
Proper Divisor Sum 13,878,096
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9252013 ← → #9252041

Radix Representation

Decimal 9252024
Binary 100011010010110010111000 (24 bits)
Octal 0o43226270
Hexadecimal 0x8D2CB8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 385,501 771,002 1,156,503 1,542,004 2,313,006 3,084,008 4,626,012 9,252,024

Collatz Trajectory (238 steps to reach 1)

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

9,252,024 4,626,012 2,313,006 1,156,503 3,469,510 1,734,755 5,204,266 2,602,133 7,806,400 3,903,200 1,951,600 975,800 487,900 243,950 121,975 365,926 182,963 548,890 274,445 823,336 411,668 205,834 102,917 308,752 154,376 77,188 38,594 19,297 57,892 28,946 14,473 43,420 21,710 10,855 32,566 16,283 48,850 24,425 73,276 36,638 18,319 54,958 27,479 82,438 41,219 123,658 61,829 185,488 92,744 46,372 23,186 11,593 34,780 17,390 8,695 26,086 13,043 39,130 19,565 58,696

More profiles

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