7970
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
- 8
- Divisor Sum
- 14364
- Proper Divisor Sum (Aliquot Sum)
- 6394
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3184
- Möbius Function
- -1
- Radical
- 7970
- Omega Function (Ω)
- 3
- 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
- 52
- 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
- Series-parallel numbers.at n=6A000163
- Generalized Euler numbers c(6,n).at n=2A000192
- Generalized class numbers c_(n,2).at n=5A000362
- Generalized Euler numbers.at n=4A001587
- Least k such that the first k terms of A006928 contain n more 2's than 1's.at n=9A025507
- a(n) = floor(exp(11/24)*n!).at n=6A030803
- Triangle of series-parallel numbers.at n=38A036654
- Values of A038007 not ending in 6 or 8.at n=9A038009
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=22A038664
- Numbers k such that 10*k-1, 10*k-3, 10*k-7 and 10*k-9 are all prime.at n=31A064975
- a(n) = least k such that f(k) = n, where f is the prime gaps function given by f(m) = prime(m+1)-prime(m) and prime(m) denotes the m-th prime, if k exists; 0 otherwise.at n=45A066493
- Number of lattice paths in the lattice [0..2n] X [0..2n] which do not pass through the point (n,n).at n=3A071799
- a(n) = binomial(2n, n) - binomial(n, floor(n/2))^2.at n=8A071801
- Numbers k such that reverse(k) is a prime factor of k.at n=46A072299
- Numbers where A080374 increases.at n=17A080376
- Increasing peaks in the prime gap sequence A038664.at n=4A086979
- Positions of 4's in A038800 with offset 1.at n=32A115095
- Solutions y of the Mordell equation y^2 = x^3 - 3a^2 + 1 for a = 0,1,2, ... (solutions x are given by the sequence A000466).at n=10A173202
- Number of strictly increasing arrangements of n nonzero numbers in -(n+3)..(n+3) with sum zero.at n=7A188118
- Number of strictly increasing arrangements of 8 nonzero numbers in -(n+6)..(n+6) with sum zero.at n=4A188127