23,971,409

7 × 11 × 419 × 743

23,971,409 factors as 7 × 11 × 419 × 743. Its 16 positive divisors give a proper-divisor sum of 6,026,671, so this integer is deficient. The Collatz stopping time is 252 steps.

Prime Factor Structure

Factorization String 7 × 11 × 419 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 29,998,080

Proper Divisor Sum 6,026,671

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #23971403 ← → #23971417

Radix Representation

Decimal	23971409
Binary	1011011011100011001010001 (25 bits)
Octal	0o133343121
Hexadecimal	0x16DC651

Divisor Catalog (16)

1 7 11 77 419 743 2,933 4,609 5,201 8,173 32,263 57,211 311,317 2,179,219 3,424,487 23,971,409

Collatz Trajectory (252 steps to reach 1)

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

23,971,409 71,914,228 35,957,114 17,978,557 53,935,672 26,967,836 13,483,918 6,741,959 20,225,878 10,112,939 30,338,818 15,169,409 45,508,228 22,754,114 11,377,057 34,131,172 17,065,586 8,532,793 25,598,380 12,799,190 6,399,595 19,198,786 9,599,393 28,798,180 14,399,090 7,199,545 21,598,636 10,799,318 5,399,659 16,198,978 8,099,489 24,298,468 12,149,234 6,074,617 18,223,852 9,111,926 4,555,963 13,667,890 6,833,945 20,501,836 10,250,918 5,125,459 15,376,378 7,688,189 23,064,568 11,532,284 5,766,142 2,883,071 8,649,214 4,324,607 12,973,822 6,486,911 19,460,734 9,730,367 29,191,102 14,595,551 43,786,654 21,893,327 65,679,982 32,839,991

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