11960
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 18280
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 2990
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 50
- 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
- Number of n-step polygons on Kagome lattice.at n=12A005397
- Number of 2-dimensional directed compact animals of size n.at n=10A006801
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=26A011940
- Number of partitions of n with equal number of parts congruent to each of 2 and 4 (mod 5).at n=44A035560
- A convolution triangle of numbers obtained from A025749.at n=32A049213
- Numbers k such that 3*R_k - 2 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A055557
- Numbers k such that sigma(k) divides sigma(sigma(k)).at n=33A066961
- Numbers m such that numerator of Sum_{k=1..m} 1/(prime(k)-k) is prime.at n=46A092065
- Number of binary words of length n that are not "bifix-free".at n=14A094536
- A094536/2.at n=15A094537
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n and having k peaks at even height.at n=54A097892
- Denominator of sum of reciprocals of first n 5-simplex numbers A000389.at n=21A118432
- Number of compositions of 2n in which each part has even multiplicity.at n=9A130495
- Number of slanted n X 5 (i=1..n) X (j=i..5+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner.at n=2A165374
- Number of slanted 4Xn (i=1..4)X(j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner.at n=3A165387
- First of two consecutive numbers with at least one 3 in their prime signature.at n=61A176313
- Partial sums of product of twin primes.at n=7A191746
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+84847)^2 = y^2.at n=8A201917
- Number of (n+1)X(1+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237489
- Number of (n+1)X(3+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=0A237491