12,658,023

3² × 7² × 28703

12,658,023 factors as 3^2 × 7^2 × 28703. Its 18 positive divisors give a proper-divisor sum of 8,611,641, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 28703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 21,269,664

Proper Divisor Sum 8,611,641

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12657991 ← → #12658031

Radix Representation

Decimal	12658023
Binary	110000010010010101100111 (24 bits)
Octal	0o60222547
Hexadecimal	0xC12567

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 28,703 86,109 200,921 258,327 602,763 1,406,447 1,808,289 4,219,341 12,658,023

Collatz Trajectory (109 steps to reach 1)

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

12,658,023 37,974,070 18,987,035 56,961,106 28,480,553 85,441,660 42,720,830 21,360,415 64,081,246 32,040,623 96,121,870 48,060,935 144,182,806 72,091,403 216,274,210 108,137,105 324,411,316 162,205,658 81,102,829 243,308,488 121,654,244 60,827,122 30,413,561 91,240,684 45,620,342 22,810,171 68,430,514 34,215,257 102,645,772 51,322,886 25,661,443 76,984,330 38,492,165 115,476,496 57,738,248 28,869,124 14,434,562 7,217,281 21,651,844 10,825,922 5,412,961 16,238,884 8,119,442 4,059,721 12,179,164 6,089,582 3,044,791 9,134,374 4,567,187 13,701,562 6,850,781 20,552,344 10,276,172 5,138,086 2,569,043 7,707,130 3,853,565 11,560,696 5,780,348 2,890,174

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