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Atlas › Integer Profiles › Node 23,947,896

23,947,896

23 × 3 × 7 × 142547
Abundant Even Composite

23,947,896 factors as 2^3 × 3 × 7 × 142547. Its 32 positive divisors give a proper-divisor sum of 44,475,144, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 142547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 68,423,040
Proper Divisor Sum 44,475,144
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #23947829 ← → #23947901

Radix Representation

Decimal 23947896
Binary 1011011010110101001111000 (25 bits)
Octal 0o133265170
Hexadecimal 0x16D6A78

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 142,547 285,094 427,641 570,188 855,282 997,829 1,140,376 1,710,564 1,995,658 2,993,487 3,421,128 3,991,316 5,986,974 7,982,632 11,973,948 23,947,896

Collatz Trajectory (115 steps to reach 1)

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

23,947,896 11,973,948 5,986,974 2,993,487 8,980,462 4,490,231 13,470,694 6,735,347 20,206,042 10,103,021 30,309,064 15,154,532 7,577,266 3,788,633 11,365,900 5,682,950 2,841,475 8,524,426 4,262,213 12,786,640 6,393,320 3,196,660 1,598,330 799,165 2,397,496 1,198,748 599,374 299,687 899,062 449,531 1,348,594 674,297 2,022,892 1,011,446 505,723 1,517,170 758,585 2,275,756 1,137,878 568,939 1,706,818 853,409 2,560,228 1,280,114 640,057 1,920,172 960,086 480,043 1,440,130 720,065 2,160,196 1,080,098 540,049 1,620,148 810,074 405,037 1,215,112 607,556 303,778 151,889

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