λ
Sigma Notebook

24,153

3 × 83 × 97
Deficient Odd Composite

24,153 is odd and not a perfect square. Its factorization is 3 × 83 × 97 and its 8 divisors sum to 32,928.

Prime Factor Structure

Factorization String 3 × 83 × 97
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 32,928
Proper Divisor Sum 8,775
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #24151 ← → #24169

Radix Representation

Decimal 24153
Binary 101111001011001 (15 bits)
Octal 0o57131
Hexadecimal 0x5E59

Divisor Catalog (8)

1 3 83 97 249 291 8,051 24,153

Collatz Trajectory (82 steps to reach 1)

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

24,153 72,460 36,230 18,115 54,346 27,173 81,520 40,760 20,380 10,190 5,095 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154

More profiles

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