2292
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 3084
- 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
- 760
- Möbius Function
- 0
- Radical
- 1146
- 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
- 107
- 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
- Numbers that are the sum of 4 positive 5th powers.at n=28A003349
- Base-6 Armstrong or narcissistic numbers (written in base 10).at n=7A010348
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=14A014203
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=15A014203
- Convolution of odd numbers and A000201.at n=15A023658
- Convolution of A000201 with itself.at n=16A023663
- a(n) = [ C(2n,n)/2^(n+2) ].at n=16A024505
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=18A029695
- Multiplicity of highest weight (or singular) vectors associated with character chi_20 of Monster module.at n=34A034408
- Numbers having three 2's in base 10.at n=21A043499
- Numbers k such that string 6,4 occurs in the base 8 representation of k but not of k-1.at n=39A044239
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n-1.at n=31A044275
- Numbers n such that string 9,2 occurs in the base 10 representation of n but not of n-1.at n=24A044424
- Numbers n such that string 6,4 occurs in the base 8 representation of n but not of n+1.at n=39A044620
- Numbers n such that string 2,6 occurs in the base 9 representation of n but not of n+1.at n=31A044656
- Numbers k such that string 9,2 occurs in the base 10 representation of k but not of k+1.at n=24A044805
- a(n) is the smallest value of m such that A002378(m), the m-th oblong number, contains exactly n 5's.at n=4A048539
- Consider the Diophantine equation x^3 + y^3 = z^3 - 1 (x < y < z) or 'Fermat near misses'. The values of z (see A050787) are arranged in monotonically increasing order. Sequence gives values of y.at n=9A050789
- Differences between numbers k such that k and k+1 have the same sum of divisors.at n=24A054001
- a(1) = 2; a(n) = 9*2^(n-2) - n - 2, n>1.at n=9A054127