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Atlas › Integer Profiles › Node 24,366,336

24,366,336

28 × 3 × 31727
Abundant Even Composite

24,366,336 factors as 2^8 × 3 × 31727. Its 36 positive divisors give a proper-divisor sum of 40,485,696, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 31727
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 64,852,032
Proper Divisor Sum 40,485,696
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #24366323 ← → #24366367

Radix Representation

Decimal 24366336
Binary 1011100111100110100000000 (25 bits)
Octal 0o134746400
Hexadecimal 0x173CD00

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 31,727 63,454 95,181 126,908 190,362 253,816 380,724 507,632 761,448 1,015,264 1,522,896 2,030,528 3,045,792 4,061,056 6,091,584 8,122,112 12,183,168 24,366,336

Collatz Trajectory (84 steps to reach 1)

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

24,366,336 12,183,168 6,091,584 3,045,792 1,522,896 761,448 380,724 190,362 95,181 285,544 142,772 71,386 35,693 107,080 53,540 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122 19,061 57,184 28,592 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300

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