1670
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 1354
- 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
- 664
- Möbius Function
- -1
- Radical
- 1670
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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
- yes
- Odd
- no
Appears in sequences
- Triangle read by rows: T(n,k) = number of permutations of length n with exactly k rising or falling successions, for n >= 1, 0 <= k <= n-1.at n=23A001100
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=42A001304
- Total number of fixed points in rooted trees with n nodes.at n=8A005200
- Number of convex polygons of length 2n on honeycomb, or EG-convex polyominoes.at n=11A006743
- INVERTi transform of central trinomial coefficients (A002426).at n=11A007971
- Coordination sequence T3 for Zeolite Code AFR.at n=31A008021
- Coordination sequence T3 for Zeolite Code BOG.at n=29A008051
- Coordination sequence T1 for Zeolite Code GOO.at n=28A008111
- Coordination sequence T6 for Zeolite Code NES.at n=26A008210
- Coordination sequence T4 for Zeolite Code iRON.at n=29A009884
- Coordination sequence T2 for Zeolite Code RUT.at n=27A009898
- Number of Hamiltonian paths in a 5 X n grid starting at the lower left corner and finishing in the upper right corner.at n=7A014584
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=34A023170
- Number of partitions of n into an even number of parts, the greatest being 6; also, a(n+11) = number of partitions of n+5 into an odd number of parts, each <=6.at n=44A026930
- Coordination sequence T4 for Zeolite Code ITE.at n=28A027372
- Size of lexicographic code of length n, Hamming distance 10 and weight 10.at n=29A031502
- 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 16.at n=39A031514
- Numbers whose base-5 expansions have 5 distinct digits.at n=39A031946
- Every run of digits of n in base 9 has length 2.at n=20A033007
- Numbers whose base-9 expansion has no run of digits with length < 2.at n=30A033022