1974
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4608
- Proper Divisor Sum (Aliquot Sum)
- 2634
- 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
- 552
- Möbius Function
- 1
- Radical
- 1974
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 series-reduced rooted trees with n nodes.at n=16A001679
- Central factorial numbers: column 2 in triangle A008956.at n=3A001823
- Central factorial numbers: 2nd subdiagonal of A008956.at n=2A001825
- Self numbers divisible by sum of their digits (or, self numbers which are also Harshad numbers).at n=42A003219
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=42A004963
- a(n) = n*(5*n+1)/2.at n=28A005475
- Number of binary vectors of length n containing no singletons.at n=17A006355
- Triangle of central factorial numbers |4^k t(2n+1,2n+1-2k)| read by rows (n>=0, k=0..n).at n=12A008956
- Coordination sequence T2 for Zeolite Code AHT.at n=30A009867
- Coordination sequence T4 for Zeolite Code DFO.at n=34A009878
- Convolution of Bell and Catalan numbers.at n=7A014327
- Expansion of (1/theta_4 - 1)/2.at n=18A014968
- a(n) = n*(9*n - 1)/2.at n=21A022266
- Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.at n=35A023674
- 2nd elementary symmetric function of first n+1 positive integers congruent to 1 mod 3.at n=5A024212
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (1, p(1), p(2), ...).at n=41A024369
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (primes).at n=40A024377
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=27A024809
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023531, t = (F(2), F(3), F(4), ...).at n=15A024885
- Duplicate of A024377.at n=40A025069