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Atlas › Integer Profiles › Node 23,950,820

23,950,820

22 × 5 × 23 × 52067
Abundant Even Composite

23,950,820 factors as 2^2 × 5 × 23 × 52067. Its 24 positive divisors give a proper-divisor sum of 28,533,724, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 52067
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 52,484,544
Proper Divisor Sum 28,533,724
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #23950813 ← → #23950903

Radix Representation

Decimal 23950820
Binary 1011011010111010111100100 (25 bits)
Octal 0o133272744
Hexadecimal 0x16D75E4

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 52,067 104,134 208,268 260,335 520,670 1,041,340 1,197,541 2,395,082 4,790,164 5,987,705 11,975,410 23,950,820

Collatz Trajectory (216 steps to reach 1)

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

23,950,820 11,975,410 5,987,705 17,963,116 8,981,558 4,490,779 13,472,338 6,736,169 20,208,508 10,104,254 5,052,127 15,156,382 7,578,191 22,734,574 11,367,287 34,101,862 17,050,931 51,152,794 25,576,397 76,729,192 38,364,596 19,182,298 9,591,149 28,773,448 14,386,724 7,193,362 3,596,681 10,790,044 5,395,022 2,697,511 8,092,534 4,046,267 12,138,802 6,069,401 18,208,204 9,104,102 4,552,051 13,656,154 6,828,077 20,484,232 10,242,116 5,121,058 2,560,529 7,681,588 3,840,794 1,920,397 5,761,192 2,880,596 1,440,298 720,149 2,160,448 1,080,224 540,112 270,056 135,028 67,514 33,757 101,272 50,636 25,318

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