1350
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 3720
- Proper Divisor Sum (Aliquot Sum)
- 2370
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 360
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 114
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=20A001106
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=31A001307
- Number of partitions of n into at most 4 parts.at n=53A001400
- From discordant permutations.at n=5A002634
- Number of partitions of n into Fibonacci parts (with a single type of 1).at n=39A003107
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=20A004006
- Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional b.c.c. lattice.at n=12A007218
- Number of homeomorphically irreducible (or series-reduced) trees with n pendant nodes, or continua with n non-cut points, or leaves.at n=12A007827
- Coordination sequence T2 for Zeolite Code AST.at n=27A008037
- Coordination sequence T4 for Zeolite Code DDR.at n=23A008074
- Coordination sequence T4 for Zeolite Code GOO.at n=25A008114
- List of ordered areas of Pythagorean triangles.at n=44A009111
- Areas of Pythagorean triangles: numbers which can be the area of a right triangle with integer sides.at n=40A009112
- Expansion of log(1+tanh(log(1+x))).at n=7A009383
- Sum along upward diagonal of Pascal triangle to center.at n=16A010752
- Sum along upward diagonal of Pascal triangle up to (but not including) center.at n=16A010753
- Numbers k such that k divides phi(k) * sigma(k).at n=42A011775
- a(n) = floor(n*(n-1)*(n-2)/13).at n=27A011895
- Number of squarefree palindromes over {0, 1, 2} of length 2n+1.at n=24A012212
- Triangle of coefficients in expansion of (3+5x)^n.at n=12A013622