7136
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 6976
- 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
- 3552
- Möbius Function
- 0
- Radical
- 446
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 75
- Smith Number
- yes
- 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 integers <= 2^n of form 4 x^2 + 4 x y + 5 y^2.at n=16A000076
- Card matching: Coefficients B[n,3] of t^3 in the reduced hit polynomial A[n,n,n](t).at n=3A000489
- Numbers that are the sum of 4 nonzero squares in exactly 10 ways.at n=42A025366
- Expansion of (theta_3(z)*theta_3(23z)+theta_2(z)*theta_2(23z))^4.at n=24A028660
- [ exp(8/23)*n! ].at n=6A030821
- Number of partitions satisfying cn(0,5) + cn(2,5) < cn(1,5) + cn(4,5) and cn(0,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=33A039885
- McKay-Thompson series of class 21A for Monster.at n=21A058563
- Card-matching numbers (Dinner-Diner matching numbers).at n=18A059060
- Card-matching numbers (Dinner-Diner matching numbers).at n=25A059066
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of three complementary pairs of simple musical tones: 7/6 and 12/7, 6/5 and 5/3 and 7/5 and 10/7.at n=25A060529
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=22A075931
- Least nontrivial multiple of the n-th prime beginning with 7.at n=47A078291
- Fourth diagonal (m=3) of triangle A084938; a(n) = A084938(n+3,n) = (n^3 + 9*n^2 + 26*n)/6.at n=32A092286
- a(n)=(1/2)*sum(i=0,n,rad(binomial(n,i))) where rad(k)=A007947(k).at n=15A098426
- Number of permutations of n distinct letters (ABCD...) each of which appears 4 times and having three fixed points.at n=2A123292
- Tanimoto triangle read by rows: T(n,k) = number of "parity-alternating permutations" (PAPS) of n symbols with k ascents.at n=62A125300
- Tanimoto triangle read by rows: T(n,k) = number of "parity-alternating permutations" (PAPS) of n symbols with k ascents.at n=58A125300
- a(4n+k) = 4a(4n+k-1)-6a(4n+k-2)+4a(4n+k-3), for k = 0,1,2; 2*a(4n+3) = 7a(4n+2)-8(4n+1)+2a(4n), with a(0) = a(1) = a(2) = 0, a(3) = 1.at n=16A132152
- a(1)=2. For n >=2, a(n) = p(n) *(floor(a(n-1)/p(n)) +2), where p(n) is the n-th prime.at n=47A138621
- Expansion of x/(1 -x^2 -x^4 -x^7 -x^8 -x^9 -x^10).at n=30A143351