23,218,013

7³ × 13 × 41 × 127

23,218,013 factors as 7^3 × 13 × 41 × 127. Its 32 positive divisors give a proper-divisor sum of 6,887,587, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 7^3 × 13 × 41 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 30,105,600

Proper Divisor Sum 6,887,587

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #23218001 ← → #23218043

Radix Representation

Decimal	23218013
Binary	1011000100100011101011101 (25 bits)
Octal	0o130443535
Hexadecimal	0x162475D

Divisor Catalog (32)

Collatz Trajectory (128 steps to reach 1)

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

23,218,013 69,654,040 34,827,020 17,413,510 8,706,755 26,120,266 13,060,133 39,180,400 19,590,200 9,795,100 4,897,550 2,448,775 7,346,326 3,673,163 11,019,490 5,509,745 16,529,236 8,264,618 4,132,309 12,396,928 6,198,464 3,099,232 1,549,616 774,808 387,404 193,702 96,851 290,554 145,277 435,832 217,916 108,958 54,479 163,438 81,719 245,158 122,579 367,738 183,869 551,608 275,804 137,902 68,951 206,854 103,427 310,282 155,141 465,424 232,712 116,356 58,178 29,089 87,268 43,634 21,817 65,452 32,726 16,363 49,090 24,545

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