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Atlas › Integer Profiles › Node 3,395,007

3,395,007

33 × 7 × 11 × 23 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 11 × 23 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,635,520
Proper Divisor Sum 3,240,513
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3394999 ← → #3395033

Radix Representation

Decimal 3395007
Binary 1100111100110110111111 (22 bits)
Octal 0o14746677
Hexadecimal 0x33CDBF

Divisor Catalog (60 of 64)

1 3 7 9 11 21 23 27 33 63 69 71 77 99 161 189 207 213 231 253 297 483 497 621 639 693 759 781 1,449 1,491 1,633 1,771 1,917 2,079 2,277 2,343 4,347 4,473 4,899 5,313 5,467 6,831 7,029 11,431 13,419 14,697 15,939 16,401 17,963 21,087 34,293 44,091 47,817 49,203 53,889 102,879 125,741 147,609 161,667 308,637

Collatz Trajectory (265 steps to reach 1)

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

3,395,007 10,185,022 5,092,511 15,277,534 7,638,767 22,916,302 11,458,151 34,374,454 17,187,227 51,561,682 25,780,841 77,342,524 38,671,262 19,335,631 58,006,894 29,003,447 87,010,342 43,505,171 130,515,514 65,257,757 195,773,272 97,886,636 48,943,318 24,471,659 73,414,978 36,707,489 110,122,468 55,061,234 27,530,617 82,591,852 41,295,926 20,647,963 61,943,890 30,971,945 92,915,836 46,457,918 23,228,959 69,686,878 34,843,439 104,530,318 52,265,159 156,795,478 78,397,739 235,193,218 117,596,609 352,789,828 176,394,914 88,197,457 264,592,372 132,296,186 66,148,093 198,444,280 99,222,140 49,611,070 24,805,535 74,416,606 37,208,303 111,624,910 55,812,455 167,437,366

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