23,972,751

3² × 11 × 463 × 523

23,972,751 factors as 3^2 × 11 × 463 × 523. Its 24 positive divisors give a proper-divisor sum of 13,956,465, so this integer is deficient. The Collatz stopping time is 260 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 463 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 37,929,216

Proper Divisor Sum 13,956,465

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #23972749 ← → #23972761

Radix Representation

Decimal	23972751
Binary	1011011011100101110001111 (25 bits)
Octal	0o133345617
Hexadecimal	0x16DCB8F

Divisor Catalog (24)

Collatz Trajectory (260 steps to reach 1)

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

23,972,751 71,918,254 35,959,127 107,877,382 53,938,691 161,816,074 80,908,037 242,724,112 121,362,056 60,681,028 30,340,514 15,170,257 45,510,772 22,755,386 11,377,693 34,133,080 17,066,540 8,533,270 4,266,635 12,799,906 6,399,953 19,199,860 9,599,930 4,799,965 14,399,896 7,199,948 3,599,974 1,799,987 5,399,962 2,699,981 8,099,944 4,049,972 2,024,986 1,012,493 3,037,480 1,518,740 759,370 379,685 1,139,056 569,528 284,764 142,382 71,191 213,574 106,787 320,362 160,181 480,544 240,272 120,136 60,068 30,034 15,017 45,052 22,526 11,263 33,790 16,895 50,686 25,343

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