11512
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21600
- Proper Divisor Sum (Aliquot Sum)
- 10088
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5752
- Möbius Function
- 0
- Radical
- 2878
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 130
- 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
- From fundamental unit of Z[ (-n)^{1/4} ].at n=16A006831
- Positive numbers for which the sum of digits equals the product of digits.at n=36A034710
- Open 3-dimensional ball numbers (version 3): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,1/2,0).at n=28A053595
- Number of ordered pairs of partitions of n with no common parts.at n=17A054440
- Integers m such that (x1*x2*..xk)^(x1+x2+..xk) = (x1+x2+..xk)^(x1*x2*..xk) where x1x2..xk are the digits of m in base 10.at n=39A064158
- Nonprimes whose sum of digits is equal to its product of digits.at n=28A066307
- Difference between larger and smaller terms of n-th amicable pair.at n=16A066539
- Matrix square of inverse triangle A096651; transforms n-dimensional partitions into (n-2)-dimensional partitions.at n=70A096875
- a(n) = 3*a(n-1) + a(n-3), a(0) = 1, a(1) = 1, a(2) = 4.at n=9A098183
- Numbers k such that the k-th triangular number contains only digits {2,6,8}.at n=8A119175
- (1/8)*number of lattice points with odd indices in a cubic lattice inside a sphere around the origin with radius 2*n.at n=27A120884
- Row sums of triangle A120914 (cascadence of (1+2x)^2).at n=4A120918
- Number of 12-core partitions of n.at n=50A192061
- Numbers with digital product = 10.at n=24A199990
- Successive values x such that the Mordell elliptic curve x^3 - y^2 = d has extremal points with quadratic extension over the rationals.at n=5A200656
- Secondary terms in A200656.at n=0A201048
- Composite numbers whose product of digits is 10.at n=21A201057
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four or five distinct values for every i,j,k<=n.at n=10A211569
- Number of (w,x,y,z) with all terms in {1,...,n} and |w-x|=|x-y|+|y-z|.at n=24A212570
- Numbers n such that gcd(n, phi(n)) = gcd(phi(n), sigma(n)) = gcd(sigma(n), n) = tau(n).at n=22A217301