23,716,638

2 × 3⁴ × 11 × 13309

23,716,638 factors as 2 × 3^4 × 11 × 13309. Its 40 positive divisors give a proper-divisor sum of 34,261,722, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 13309

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 57,978,360

Proper Divisor Sum 34,261,722

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #23716619 ← → #23716639

Radix Representation

Decimal	23716638
Binary	1011010011110001100011110 (25 bits)
Octal	0o132361436
Hexadecimal	0x169E31E

Divisor Catalog (40)

Collatz Trajectory (216 steps to reach 1)

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

23,716,638 11,858,319 35,574,958 17,787,479 53,362,438 26,681,219 80,043,658 40,021,829 120,065,488 60,032,744 30,016,372 15,008,186 7,504,093 22,512,280 11,256,140 5,628,070 2,814,035 8,442,106 4,221,053 12,663,160 6,331,580 3,165,790 1,582,895 4,748,686 2,374,343 7,123,030 3,561,515 10,684,546 5,342,273 16,026,820 8,013,410 4,006,705 12,020,116 6,010,058 3,005,029 9,015,088 4,507,544 2,253,772 1,126,886 563,443 1,690,330 845,165 2,535,496 1,267,748 633,874 316,937 950,812 475,406 237,703 713,110 356,555 1,069,666 534,833 1,604,500 802,250 401,125 1,203,376 601,688 300,844 150,422

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