23,964,012

2² × 3⁴ × 37 × 1999

23,964,012 factors as 2^2 × 3^4 × 37 × 1999. Its 60 positive divisors give a proper-divisor sum of 40,407,988, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 37 × 1999

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 64,372,000

Proper Divisor Sum 40,407,988

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #23964007 ← → #23964013

Radix Representation

Decimal	23964012
Binary	1011011011010100101101100 (25 bits)
Octal	0o133324554
Hexadecimal	0x16DA96C

Divisor Catalog (60)

1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1,332 1,998 1,999 2,997 3,996 3,998 5,994 5,997 7,996 11,988 11,994 17,991 23,988 35,982 53,973 71,964 73,963 107,946 147,926 161,919 215,892 221,889 295,852 323,838 443,778 647,676 665,667 887,556 1,331,334 1,997,001 2,662,668 3,994,002 5,991,003 7,988,004 11,982,006 23,964,012

Collatz Trajectory (167 steps to reach 1)

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

23,964,012 11,982,006 5,991,003 17,973,010 8,986,505 26,959,516 13,479,758 6,739,879 20,219,638 10,109,819 30,329,458 15,164,729 45,494,188 22,747,094 11,373,547 34,120,642 17,060,321 51,180,964 25,590,482 12,795,241 38,385,724 19,192,862 9,596,431 28,789,294 14,394,647 43,183,942 21,591,971 64,775,914 32,387,957 97,163,872 48,581,936 24,290,968 12,145,484 6,072,742 3,036,371 9,109,114 4,554,557 13,663,672 6,831,836 3,415,918 1,707,959 5,123,878 2,561,939 7,685,818 3,842,909 11,528,728 5,764,364 2,882,182 1,441,091 4,323,274 2,161,637 6,484,912 3,242,456 1,621,228 810,614 405,307 1,215,922 607,961 1,823,884 911,942

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