11760
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 60
- Divisor Sum
- 42408
- Proper Divisor Sum (Aliquot Sum)
- 30648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- Number of partitions into non-integral powers.at n=16A000160
- Lah numbers: a(n) = n! * binomial(n-1, 4)/5!.at n=3A001777
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=41A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=41A002706
- a(n) = 10000*log_10(n) rounded down.at n=14A004228
- Expansion of (1 + 2*x + x^2)/(1 - 10*x + x^2).at n=4A004291
- Expansion of e.g.f. ( (1+x)^x )^x.at n=8A007121
- Triangle of Lah numbers.at n=32A008297
- Expansion of cosh(sin(x)*log(1+x)).at n=8A009148
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=50A011892
- Triangle of coefficients in expansion of (2 + 7*x)^n.at n=23A013623
- a(n) = n*(23*n - 1)/2.at n=32A022280
- Absolute value of determinant of n X n matrix whose entries are the integers from 1 to n^2 spiraling inward, starting in a corner.at n=4A023999
- For all n, if d is recursively applied to a(n) exactly 6 times then the fixed point of d-iteration is just reached.at n=8A036458
- Triangle whose (i,j)-th entry is binomial(i,j)*7^(i-j)*2^j.at n=25A038268
- Theta series of 14-dimensional lattice C2 X S8 with minimal norm 4.at n=3A047634
- Octahedral torus number: a(n) = n^2 + 2*(Sum_{k=1..n-1} k^2) - 2*(floor((n+1)/2)^2 + 2*(Sum_{k=1..floor((n+1)/2)-1} k^2)) + (1 - (-1)^n)/2.at n=28A050442
- Numbers n such that 279*2^n-1 is prime.at n=22A050898
- Smallest number whose set of divisors contains each digit 0-9 at least n times.at n=7A059436
- a(n) = 15*n^2.at n=28A064761