23,727,431

7 × 13² × 31 × 647

23,727,431 factors as 7 × 13^2 × 31 × 647. Its 24 positive divisors give a proper-divisor sum of 6,630,073, so this integer is deficient. The Collatz stopping time is 353 steps.

Prime Factor Structure

Factorization String 7 × 13^2 × 31 × 647

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 30,357,504

Proper Divisor Sum 6,630,073

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #23727383 ← → #23727437

Radix Representation

Decimal	23727431
Binary	1011010100000110101000111 (25 bits)
Octal	0o132406507
Hexadecimal	0x16A0D47

Divisor Catalog (24)

Collatz Trajectory (353 steps to reach 1)

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

23,727,431 71,182,294 35,591,147 106,773,442 53,386,721 160,160,164 80,080,082 40,040,041 120,120,124 60,060,062 30,030,031 90,090,094 45,045,047 135,135,142 67,567,571 202,702,714 101,351,357 304,054,072 152,027,036 76,013,518 38,006,759 114,020,278 57,010,139 171,030,418 85,515,209 256,545,628 128,272,814 64,136,407 192,409,222 96,204,611 288,613,834 144,306,917 432,920,752 216,460,376 108,230,188 54,115,094 27,057,547 81,172,642 40,586,321 121,758,964 60,879,482 30,439,741 91,319,224 45,659,612 22,829,806 11,414,903 34,244,710 17,122,355 51,367,066 25,683,533 77,050,600 38,525,300 19,262,650 9,631,325 28,893,976 14,446,988 7,223,494 3,611,747 10,835,242 5,417,621

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