1940
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4116
- Proper Divisor Sum (Aliquot Sum)
- 2176
- 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
- 768
- Möbius Function
- 0
- Radical
- 970
- 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
- 99
- 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
- Absolute value of Glaisher's alpha(n).at n=9A002290
- Number of protruded partitions of n with largest part at most 10.at n=11A005116
- Expansion of a modular function for gamma_0(6).at n=15A006708
- Coordination sequence T3 for Zeolite Code AFO.at n=29A008017
- Coordination sequence T11 for Zeolite Code MFI.at n=28A008163
- Coordination sequence T7 for Zeolite Code MFI.at n=28A008170
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=72A008302
- Triangle of Mahonian numbers T(n,k): coefficients in expansion of Product_{i=0..n-1} (1 + x + ... + x^i), where k ranges from 0 to A000217(n-1). Also enumerates permutations by their major index.at n=82A008302
- If a, b in sequence, so is ab+4.at n=35A009303
- Coordination sequence T1 for Zeolite Code iRON.at n=31A009881
- Expansion of 1/((1-x)*(1-2*x)*(1-3*x)*(1-10*x)).at n=3A021049
- Fibonacci sequence beginning 4, 11.at n=12A022131
- Number of 2's in n-th term of A006711.at n=30A022478
- The sequence m(n) in A022905.at n=29A022907
- a(n) = T(n,n-3), where T is the array in A026374.at n=14A026382
- a(n) = T(n,n-3), where T is the array in A026386.at n=14A026394
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026648.at n=10A026655
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026648.at n=11A026656
- Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.at n=10A031127
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 22.at n=22A031520