23,090,123

7² × 71 × 6637

23,090,123 factors as 7^2 × 71 × 6637. Its 12 positive divisors give a proper-divisor sum of 4,152,229, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 7^2 × 71 × 6637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,242,352

Proper Divisor Sum 4,152,229

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #23090087 ← → #23090159

Radix Representation

Decimal	23090123
Binary	1011000000101001111001011 (25 bits)
Octal	0o130051713
Hexadecimal	0x16053CB

Divisor Catalog (12)

1 7 49 71 497 3,479 6,637 46,459 325,213 471,227 3,298,589 23,090,123

Collatz Trajectory (216 steps to reach 1)

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

23,090,123 69,270,370 34,635,185 103,905,556 51,952,778 25,976,389 77,929,168 38,964,584 19,482,292 9,741,146 4,870,573 14,611,720 7,305,860 3,652,930 1,826,465 5,479,396 2,739,698 1,369,849 4,109,548 2,054,774 1,027,387 3,082,162 1,541,081 4,623,244 2,311,622 1,155,811 3,467,434 1,733,717 5,201,152 2,600,576 1,300,288 650,144 325,072 162,536 81,268 40,634 20,317 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070

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