7098
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17568
- Proper Divisor Sum (Aliquot Sum)
- 10470
- 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
- 1872
- Möbius Function
- 0
- Radical
- 546
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=11A000574
- a(n) = n^2*(n^2 - 1)/4.at n=13A006011
- a(n) = n*(4*n+1).at n=42A007742
- Coordination sequence for alpha-Nd, Position Nd1.at n=26A009948
- a(n) = 6*(n+1)*binomial(n+2,12).at n=2A027785
- T(2n,n-2), T given by A027907.at n=5A027910
- a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=28A028723
- Every run of digits of n in base 13 has length 2.at n=36A033011
- Positive integers having more base-13 runs of even length than odd.at n=38A044839
- Numbers whose base-4 representation contains exactly four 2's and two 3's.at n=23A045155
- (Terms in A029613)/2.at n=23A051435
- (Terms in A029627)/2.at n=39A051457
- Number of orbits of length n under the full 13-shift (whose periodic points are counted by A001022).at n=3A060216
- Reverse of largest prime factor of n = smallest prime factor of n+1; a(1)=1.at n=8A071393
- Least k such that k*n^n +/- 1 are twin primes.at n=40A076810
- Sum of terms in periodic part of continued fraction expansion of square root of 1+2^n.at n=18A077628
- a(n) = floor((n+2)^(n+2)/n^n).at n=30A078111
- Sequence arising from enumeration of domino tilings of Aztec Pillow-like regions.at n=7A092439
- a(n) = C(n,8) + C(n,7) + C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1).at n=13A116690
- Minimal m > 0 such that Fibonacci(m) == 0 (mod n^3).at n=25A132633