4316
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8232
- Proper Divisor Sum (Aliquot Sum)
- 3916
- 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
- 1968
- Möbius Function
- 0
- Radical
- 2158
- 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
- 51
- 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 Twopins positions.at n=20A005689
- Coordination sequence T3 for Zeolite Code MTW.at n=43A008198
- Coordination sequence T4 for Zeolite Code ZON.at n=46A009922
- Coordination sequence T6 for Zeolite Code TER.at n=44A016438
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=37A020379
- Integer part of (4th elementary symmetric function of 3,4,...,n+5)/(3+4+...+n+5).at n=5A024192
- Numerators of continued fraction convergents to sqrt(24).at n=6A041038
- Number of weakly connected digraphs on n unlabeled nodes that are not strongly connected.at n=4A056988
- Partial sums of n + Fibonacci(n+1).at n=16A081662
- G.f.: (1+3*x^3)/((1-x)^2*(1-x^3)^2).at n=37A092352
- Triangle T(n,k), 0<=k<=n, read by rows; given by [0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, ...] DELTA [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...] where DELTA is the operator defined in A084938.at n=48A094456
- Difference between ceiling(e^(n/2 - 1)) (A005181) and the n-th Fibonacci number (A000045).at n=22A096766
- Numbers k such that 4*k! - 1 is prime.at n=16A099350
- The first pair of digits sums up to 7. So does the second pair. And the third one and the fourth one, etc., with a(n) < a(n+1). When constructing the sequence, choose the next digits so as to slow the growth of the sequence as much as possible.at n=51A101325
- (p*q - 1)/2 where p and q are consecutive odd primes.at n=22A102770
- Triangle T(n, k) = k^2*(1+n)^2 - 4*n, read by rows.at n=61A123961
- E.g.f. exp(sum_{d|M} (exp(d*x)-1)/d), M=8.at n=4A141005
- Number of partitions of n into numbers not divisible by 4 where every part appears at least 2 times.at n=55A161293
- Number of symmetry classes of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=34A173725
- Triangle of polynomial coefficients: p(x,n) = (1 - 2x)^(n + 1)*(1 + Sum_{k>=1} 2^(k - 1)*k^n*x^k).at n=38A177971