11586
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23184
- Proper Divisor Sum (Aliquot Sum)
- 11598
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3860
- Möbius Function
- -1
- Radical
- 11586
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- 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
- McKay-Thompson series of class 9A for Monster.at n=9A007266
- Powers of sqrt(2) rounded up.at n=27A017912
- Powers of sqrt(8) rounded up.at n=9A017930
- Powers of fourth root of 8 rounded up.at n=18A018068
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=39A020417
- McKay-Thompson series of class 9A for the Monster group with a(0) = 3.at n=9A045491
- a(n) is the number of Schröder trees on n vertices with a prescribed root.at n=5A052894
- Numbers k such that 2*3^k - 7 is prime.at n=26A059454
- BinomialMean (BM) transform of A075271, which see for the definition of (BM).at n=5A075272
- Expansion of (eta(q^3)^2 / (eta(q) * eta(q^9)))^6 in powers of q.at n=9A131985
- Column 3 of array in A133713.at n=7A133718
- Column 4 of triangle in A133721.at n=32A133723
- Column 5 of triangle in A133721.at n=41A133724
- Column 6 of triangle in A133721.at n=50A133733
- Number of squares <= 2^n.at n=27A136417
- Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n.at n=52A137251
- Numbers n such that primorial(n)/2 + 32 is prime.at n=26A139445
- 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=7A143191
- 1/120 the number of n X 4 arrays of integers in 1..6 with no element or any of its neighbors having the same value.at n=3A180375
- The sums of pairs of adjacent terms are the odd palindromic primes in ascending order.at n=32A181883