2356
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4480
- Proper Divisor Sum (Aliquot Sum)
- 2124
- 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
- 1080
- Möbius Function
- 0
- Radical
- 1178
- Omega Function (Ω)
- 4
- 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
- 120
- 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
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=31A000566
- Dowling numbers: e.g.f. exp(x + (exp(b*x)-1)/b) with b=10.at n=4A003582
- a(n) = floor(n*phi^9), where phi is the golden ratio, A001622.at n=31A004924
- a(n) = round(n*phi^9), where phi is the golden ratio, A001622.at n=31A004944
- Coordination sequence T1 for Zeolite Code ATV.at n=31A008043
- Coordination sequence T2 for Zeolite Code ATV.at n=31A008044
- Coordination sequence T2 for Keatite.at n=27A009845
- Coordination sequence T4 for Zeolite Code ZON.at n=34A009922
- Numerator of [x^(2n)] of the Taylor series sec(cot(x)-coth(x))= 1 +2*x^2/9 +10*x^4/243 +2356*x^6/229635 +986*x^8/413343+...at n=3A013557
- Even heptagonal numbers (A000566).at n=15A014640
- Numbers k such that k | 12^k + 12.at n=18A015904
- Pseudoprimes to base 45.at n=23A020173
- Pseudoprimes to base 49.at n=40A020177
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=21A020377
- a(n) = n*(13*n + 1)/2.at n=19A022271
- a(0)=0, a(2*n) = 2*a(n) + 2*a(n-1) + n^2 + n, a(2*n+1) = 4*a(n) + (n+1)^2.at n=40A022560
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=41A025217
- Index of 6^n within the sequence of the numbers of the form 2^i*6^j.at n=42A025712
- a(n) = position of the n-th n in A026409.at n=44A026412
- a(n) = n^2 + n + 4.at n=48A027689