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Atlas › Integer Profiles › Node 33,366,264

33,366,264

23 × 3 × 181 × 7681
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 181 × 7681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 83,887,440
Proper Divisor Sum 50,521,176
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #33366247 ← → #33366271

Radix Representation

Decimal 33366264
Binary 1111111010010000011111000 (25 bits)
Octal 0o177220370
Hexadecimal 0x1FD20F8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 181 362 543 724 1,086 1,448 2,172 4,344 7,681 15,362 23,043 30,724 46,086 61,448 92,172 184,344 1,390,261 2,780,522 4,170,783 5,561,044 8,341,566 11,122,088 16,683,132 33,366,264

Collatz Trajectory (188 steps to reach 1)

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

33,366,264 16,683,132 8,341,566 4,170,783 12,512,350 6,256,175 18,768,526 9,384,263 28,152,790 14,076,395 42,229,186 21,114,593 63,343,780 31,671,890 15,835,945 47,507,836 23,753,918 11,876,959 35,630,878 17,815,439 53,446,318 26,723,159 80,169,478 40,084,739 120,254,218 60,127,109 180,381,328 90,190,664 45,095,332 22,547,666 11,273,833 33,821,500 16,910,750 8,455,375 25,366,126 12,683,063 38,049,190 19,024,595 57,073,786 28,536,893 85,610,680 42,805,340 21,402,670 10,701,335 32,104,006 16,052,003 48,156,010 24,078,005 72,234,016 36,117,008 18,058,504 9,029,252 4,514,626 2,257,313 6,771,940 3,385,970 1,692,985 5,078,956 2,539,478 1,269,739

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