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23,546,240

27 × 5 × 36791
Abundant Even Composite

23,546,240 factors as 2^7 × 5 × 36791. Its 32 positive divisors give a proper-divisor sum of 32,745,520, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 36791
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,291,760
Proper Divisor Sum 32,745,520
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #23546219 ← → #23546249

Radix Representation

Decimal 23546240
Binary 1011001110100100110000000 (25 bits)
Octal 0o131644600
Hexadecimal 0x1674980

Divisor Catalog (32)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 36,791 73,582 147,164 183,955 294,328 367,910 588,656 735,820 1,177,312 1,471,640 2,354,624 2,943,280 4,709,248 5,886,560 11,773,120 23,546,240

Collatz Trajectory (154 steps to reach 1)

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

23,546,240 11,773,120 5,886,560 2,943,280 1,471,640 735,820 367,910 183,955 551,866 275,933 827,800 413,900 206,950 103,475 310,426 155,213 465,640 232,820 116,410 58,205 174,616 87,308 43,654 21,827 65,482 32,741 98,224 49,112 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150

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