11545
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13860
- Proper Divisor Sum (Aliquot Sum)
- 2315
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9232
- Möbius Function
- 1
- Radical
- 11545
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 55
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Numerators of continued fraction for left factorial.at n=20A056889
- McKay-Thompson series of class 36D for the Monster simple group.at n=42A058647
- Number of n-digit cubes (0 is included as a single-digit number).at n=12A062941
- a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4), a(0)=4, a(1)=1, a(2)=-1, a(3)=1.at n=37A073937
- Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.at n=21A114169
- Numbers k such that 9k+4 are terms in A072841.at n=29A175518
- Number of n-digit perfect cubes.at n=12A181354
- Expansion of q^(-1) * f(-q^3) * phi(-q^3) / (phi(-q^2) * psi(-q^9)) in powers of q where f(), phi(), psi() are Ramanujan theta functions.at n=42A186115
- McKay-Thompson series of class 36D for the Monster group with a(0) = 2.at n=42A186964
- McKay-Thompson series of class 36D for the Monster group with a(0) = 1.at n=42A187020
- Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i*j*k| <= n.at n=28A226359
- Number of (n+1)X(1+1) 0..2 arrays with the upper median of every 2X2 subblock equal.at n=3A237301
- Number of (n+1)X(4+1) 0..2 arrays with the upper median of every 2X2 subblock equal.at n=0A237304
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median of every 2X2 subblock equal.at n=6A237308
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median of every 2X2 subblock equal.at n=9A237308
- a(1)=1, a(2)=2; thereafter a(n) = a(n-1) + a(n-1-(number of even terms so far)) + a(n-1-(number of odd terms so far)).at n=38A249039
- Expansion of f(-x^6, -x^12)^2 / (f(-x, -x) * f(-x^3, -x^15)) in powers of x where f(, ) is Ramanujan's general theta function.at n=21A261240
- Numbers n such that the sum of the digits of the numbers from 0 to n is a square.at n=42A271626
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = (2k+1)^2 - 2 (A073577).at n=40A293620
- Regular triangle read rows: T(n,k) = number of non-isomorphic multiset partitions of size n and length k.at n=61A317533