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Atlas › Integer Profiles › Node 40,040,091

40,040,091

32 × 7 × 13 × 48889
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 13 × 48889
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 71,183,840
Proper Divisor Sum 31,143,749
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #40040041 ← → #40040093

Radix Representation

Decimal 40040091
Binary 10011000101111011010011011 (26 bits)
Octal 0o230573233
Hexadecimal 0x262F69B

Divisor Catalog (24)

1 3 7 9 13 21 39 63 91 117 273 819 48,889 146,667 342,223 440,001 635,557 1,026,669 1,906,671 3,080,007 4,448,899 5,720,013 13,346,697 40,040,091

Collatz Trajectory (191 steps to reach 1)

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

40,040,091 120,120,274 60,060,137 180,180,412 90,090,206 45,045,103 135,135,310 67,567,655 202,702,966 101,351,483 304,054,450 152,027,225 456,081,676 228,040,838 114,020,419 342,061,258 171,030,629 513,091,888 256,545,944 128,272,972 64,136,486 32,068,243 96,204,730 48,102,365 144,307,096 72,153,548 36,076,774 18,038,387 54,115,162 27,057,581 81,172,744 40,586,372 20,293,186 10,146,593 30,439,780 15,219,890 7,609,945 22,829,836 11,414,918 5,707,459 17,122,378 8,561,189 25,683,568 12,841,784 6,420,892 3,210,446 1,605,223 4,815,670 2,407,835 7,223,506 3,611,753 10,835,260 5,417,630 2,708,815 8,126,446 4,063,223 12,189,670 6,094,835 18,284,506 9,142,253

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