2607
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3840
- Proper Divisor Sum (Aliquot Sum)
- 1233
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1560
- Möbius Function
- -1
- Radical
- 2607
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T4 for Zeolite Code DFO.at n=39A009878
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th non-Fibonacci number).at n=15A023483
- n-th non-Lucas number plus Fibonacci(n + 1).at n=16A023490
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A014306, t = (primes).at n=44A024696
- a(n) = floor( tan(m*Pi/2) ), where m = 1 - 2^(-n).at n=11A024810
- Number of partitions of n that do not contain 4 as a part.at n=29A027338
- Coordination sequence T2 for Zeolite Code ITE.at n=35A027370
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 17.at n=22A031515
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 17.at n=2A031695
- Lucky numbers with size of gaps equal to 8 (upper terms).at n=27A031891
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=17A031900
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=30A033679
- First differences of A037260.at n=19A037261
- Numbers whose base-3 representation has exactly 8 runs.at n=18A043588
- Numbers whose number of runs in base 3 is congruent to 1 (mod 7).at n=32A043792
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 8.at n=18A043798
- Numbers n such that number of runs in the base 3 representation of n is congruent to 8 mod 9.at n=18A043814
- Numbers k such that number of runs in the base 3 representation of k is congruent to 8 mod 10.at n=18A043823
- Numbers n such that string 1,6 occurs in the base 9 representation of n but not of n-1.at n=36A044266
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=27A044339