9516
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
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24304
- Proper Divisor Sum (Aliquot Sum)
- 14788
- 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
- 2880
- Möbius Function
- 0
- Radical
- 4758
- 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
- 78
- 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
- Numbers that are the sum of 10 positive 7th powers.at n=44A003377
- a(n)/4^n is the expected number of tosses of a coin required to obtain n+1 heads or n+1 tails.at n=5A033504
- a(n) = (2*n-1)*(n^2 -n +6)/6.at n=30A049480
- McKay-Thompson series of class 34A for Monster.at n=38A058638
- Numbers k such that prime(k+1)^2 == prime(k)^2 (mod k).at n=29A067783
- Numbers k such that phi(k) = bigomega(k)*tau(k)^2.at n=20A068540
- a(n) = n*(n+1)*(n^2-2*n+2)/2.at n=12A101375
- Integers that do not appear in A103502.at n=3A103504
- a(n) = (10^k - n)(10^k + n), where k is the number of digits in n.at n=21A110397
- a(0)=0; then a(4*k+1)=a(4*k)+(4*k+1)^2, a(4*k+2)=a(4*k+1)+(4*k+3)^2, a(4*k+3)=a(4*k+2)+(4*k+2)^2, a(4*k+4)=a(4*k+3)+(4*k+4)^2.at n=30A115391
- Partial sums of cupolar numbers (1/3)*(n+1)*(5*n^2+7*n+3) (A096000).at n=11A117066
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=45A123985
- Maximum value of the n-th difference of a permutation of 0..n.at n=11A130783
- Analog of A060410 for the 5x+1 problem (cf. A133419).at n=12A133424
- Triangle, read by rows, equal to P^4, where triangle P = A135880; also equals Q^2, where triangle Q = P^2 = A135885.at n=41A135891
- a(n) = (2*n + 1)*(5*n + 6).at n=30A153127
- a(n) = 100*n^2 - 49*n + 6.at n=9A157651
- A185243(n) is the a(n)-th triangular number.at n=41A185257
- Number of n X 2 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,2,1,3,4 for x=0,1,2,3,4.at n=16A196132
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210227; see the Formula section.at n=53A210228