11746
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 8414
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5028
- Möbius Function
- -1
- Radical
- 11746
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 99
- 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
- [ exp(11/13)*n! ].at n=6A030923
- Numerators of continued fraction convergents to sqrt(541).at n=6A042034
- 33-gonal numbers: n(31n-29)/2.at n=28A098923
- a(n) = (A001333(n+1) - 2*A005409(floor((n+3)/2)) - 1) / 4.at n=11A107769
- a(n) = n*(n^2 + 2*n - 1)/2.at n=27A127736
- a(n) = 839*n.at n=14A135639
- Number of partitions of n into parts with no prime gaps in their factorization.at n=34A137792
- Binomial transform of [1, 3, 7, 0, 0, 0, ...].at n=58A140063
- Ulam's spiral (WSW spoke).at n=27A143854
- The Wiener index of the graph \|/_\/_\/_..._\/_\|/ having n nodes on the horizontal path.at n=16A180571
- Total sum of parts of multiplicity 5 in all partitions of n.at n=35A222733
- Consider a number of k digits n = d_(k)*10^(k-1) + d_(k-1)*10^(k-2) + … + d_(2)*10 + d_(1). Sequence lists the numbers n such that phi(n) = Sum_{i=1..k-1}{sigma(Sum_{j=1..i}{d_(j)*10^(j-1)})} (see example below).at n=5A240897
- Number of rooted identity trees with n nodes and 7-colored non-root nodes.at n=5A255519
- Triangle read by rows: T(n,k) is the number of simple connected graphs on n nodes with k peripheral nodes.at n=43A324244
- Sum of the ninth largest parts of the partitions of n into 10 parts.at n=45A326590
- a(n)/A002939(n+1) is the Kirchhoff index of the disjoint union of two complete graphs each on n and n+1 vertices with the empty graph on n+1 vertices.at n=8A338588
- a(n) = sum of the first n primes whose distance to next prime is 4.at n=33A360226
- G.f. A(x) satisfies A(x) = 1/(1 - x)^3 + x*A(x)^3/(1 - x)^2.at n=5A366183
- Centered 27-gonal numbers.at n=29A389797