λ
Math Directory

9,233,848

23 × 13 × 19 × 4673
Abundant Even Composite

9,233,848 factors as 2^3 × 13 × 19 × 4673. Its 32 positive divisors give a proper-divisor sum of 10,396,952, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 19 × 4673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,630,800
Proper Divisor Sum 10,396,952
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9233837 ← → #9233849

Radix Representation

Decimal 9233848
Binary 100011001110010110111000 (24 bits)
Octal 0o43162670
Hexadecimal 0x8CE5B8

Divisor Catalog (32)

1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1,976 4,673 9,346 18,692 37,384 60,749 88,787 121,498 177,574 242,996 355,148 485,992 710,296 1,154,231 2,308,462 4,616,924 9,233,848

Collatz Trajectory (132 steps to reach 1)

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

9,233,848 4,616,924 2,308,462 1,154,231 3,462,694 1,731,347 5,194,042 2,597,021 7,791,064 3,895,532 1,947,766 973,883 2,921,650 1,460,825 4,382,476 2,191,238 1,095,619 3,286,858 1,643,429 4,930,288 2,465,144 1,232,572 616,286 308,143 924,430 462,215 1,386,646 693,323 2,079,970 1,039,985 3,119,956 1,559,978 779,989 2,339,968 1,169,984 584,992 292,496 146,248 73,124 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627

More profiles

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