6980
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14700
- Proper Divisor Sum (Aliquot Sum)
- 7720
- 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
- 2784
- Möbius Function
- 0
- Radical
- 3490
- 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
- 150
- 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
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=40A005598
- Self-convolution of row n of array T given by A026725.at n=7A027207
- Interprimes which are of the form s*prime, s=20.at n=10A075295
- Structured hexagonal anti-prism numbers.at n=14A100183
- Numbers k such that 7*10^k + 5*R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=17A103060
- Number of Dyck paths of semilength n for which the number of ascents of length 1 is equal to the number of descents of length 1.at n=10A112412
- a(n) = the definite integral Integral_{0..1} Product_{j=1..n} 4*sin^2(Pi*j*x) dx.at n=23A133871
- a(n) = 1000*n - 20.at n=6A157515
- a(n) = 16*a(n-1) - 62*a(n-2) for n > 1; a(0) = 1, a(1) = 9.at n=4A163460
- Some numbers of the form 2*x^3 + y^3 + z^3 found by a certain algorithm.at n=14A195006
- Number of partitions of n into terms of (1,2)-Ulam sequence, cf. A002858.at n=42A199016
- Number of compositions of n in which the minimal multiplicity of parts equals 5.at n=17A244168
- Number of (n+1) X (2+1) 0..1 arrays with every 2 X 2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=5A251286
- Number of (n+1)X(6+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=1A251290
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=22A251292
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge or main diagonally.at n=26A251292
- Number of (n+2) X (1+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally and vertically.at n=16A253503
- a(n) = Sum_{k=0..n} 2^(n-k)*p(k), where p(k) is the partition function A000041.at n=11A259401
- Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.at n=7A275396
- Expansion of Product_{k>=0} 1/(1-x^(4*k+3))^(4*k+3).at n=33A285131