11156
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 19530
- Proper Divisor Sum (Aliquot Sum)
- 8374
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5576
- Möbius Function
- 0
- Radical
- 5578
- 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
- 130
- 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
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=34A057123
- Values of k such that sum of first k primes squared is divisible by k-th prime.at n=3A077022
- a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n*floor(e*(n-1)!).at n=19A080770
- a(n) is the smallest integer > a(n-1) such that a(n) shares no digit with a(n-1) and c=a(n-1)+a(n), and also a(n-1) shares no digit with c.at n=23A166461
- Number of partitions of n containing a clique of size 3.at n=36A183560
- a(n) = n^3 - 2*n^2 + 2*n + 1.at n=22A188947
- Numbers k such that the decimal expansions of both k and k^2 have 1 as smallest digit and 6 as largest digit.at n=16A257197
- G.f.: 1/(1 - x/(1+2*x - x^3/(1+2*x^2 - x^5/(1+2*x^3 - x^7/(1+2*x^4 - x^9/(1 - ...)))))), a continued fraction.at n=71A275761
- Numbers k such that k^2 reversed is a prime and k^2+(k^2 reversed) is a prime.at n=23A306301
- Smallest even fundamental discriminant k such that h(-k) = 2n, where h(D) is the class number of the quadratic field with discriminant D; or 0 if no such k exists.at n=40A344072
- a(n) = Sum_{k=1..n} k * rad(k).at n=34A350996
- G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x^2 + x^3 + x^4) * A(x^5)).at n=10A367658
- Numbers k such that 5^sigma(k) - k is a prime.at n=3A377786
- a(n) is the least number whose fifth power is an n-digit fifth power which has the maximum sum of digits (A374025(n)).at n=20A379650