11240
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25380
- Proper Divisor Sum (Aliquot Sum)
- 14140
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 2810
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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 stacks, or planar partitions of n; also weakly unimodal compositions of n.at n=20A001523
- Sum of first prime(n) primes.at n=19A022094
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 53.at n=22A031551
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 53.at n=1A031731
- Decimal part of cube root of a(n) starts with 4: first term of runs.at n=21A034130
- Positive numbers having the same set of digits in base 6 and base 10.at n=28A037437
- A simple grammar.at n=10A052831
- Numbers k such that 273*2^k + 1 is prime.at n=38A053353
- Consider the sequence b(k) such that b(k) and sigma(b(k)) end with the same digit in base 10. Sequence gives values of b(k) such that b(k)/k = 10.at n=20A065255
- Multiples of 8 with digit sum 8.at n=31A069543
- Polynomial (1/3)*n^3 + (9/2)*n^2 + (85/6)*n - 2.at n=28A073775
- a(n) = (10^n - 9^n - 8^n - 7^n + 4*6^n)/2.at n=5A081683
- a(n) = 7*n^2 + n.at n=40A092277
- Bisection of A001523.at n=10A100505
- Sum of the first 2n+1 primes.at n=35A109723
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=40A119864
- Triangular array: odd: p(k, x) = 2*x*p(k-1, x) + (1-x2)*p(k-2, x), even: p(k, x) = (Sum_{m=0..k} x^m)*p(k-1, x).at n=54A123243
- Result of using the Fibonacci numbers as coefficients in an infinite polynomial series in x and then expressing this series as (1+a(1)x)(1+a(2)x^2)(1+a(3)x^3)...at n=25A147558
- Describe 10^n. Also called the "Say What You See" or "Look and Say" sequence LS(10^n).at n=24A191111
- a(n) = Sum_{i=0..n} digsum_3(i)^4, where digsum_3(i) = A053735(i).at n=47A231505