11079
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16016
- Proper Divisor Sum (Aliquot Sum)
- 4937
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7380
- Möbius Function
- 0
- Radical
- 3693
- Omega Function (Ω)
- 3
- 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
- 42
- 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
- no
- Odd
- yes
Appears in sequences
- Limit of A069258(k,n) = number of partitions of 2*k into k-n prime parts, as k tends to infinity.at n=39A069259
- Numbers m such that [A070080(m), A070081(m), A070082(m)] is an acute scalene integer triangle with prime side lengths.at n=33A070123
- Numbers m such that m! + p is a prime, where p is the smallest prime > m.at n=24A084749
- a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6 and the operators +, -, *, /, using each number only once.at n=13A143191
- Number of isomorphism classes of quandles of order n.at n=9A181769
- Number of (w,x,y,z) with all terms in {1,...,n} and w^3>x^3+y^3+z^3.at n=16A212099
- Number of partitions of n in which any two parts differ by at most 6.at n=44A218508
- Number of nX3 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=5A221814
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out straight through or left turns.at n=33A221817
- Number of partitions p of n such that mean(p) >= multiplicity(min(p)).at n=37A240079
- Number of partitions p of n such that mean(p) > multiplicity(min(p)).at n=37A240206
- Numbers n such that the Phi_n(2) is the product of exactly two primes and is divisible by 2n+1.at n=25A250203
- Number of distinct printable hexaflexagons of length n.at n=21A286111
- Number of n X 7 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=4A303039
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=59A303040
- Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=6A303043
- Number of n X n 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=5A304473
- Number of n X 6 0..1 arrays with every element unequal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=5A304477
- Sum of the smallest parts in the partitions of n into 6 parts.at n=50A308868
- Records in A352187.at n=44A352191