11400
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 37200
- Proper Divisor Sum (Aliquot Sum)
- 25800
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 570
- Omega Function (Ω)
- 7
- 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
- 29
- 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
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=38A000297
- a(n) = (n-1)*(2*n-1)*(3*n-1).at n=13A033594
- Multiplicity of highest weight (or singular) vectors associated with character chi_61 of Monster module.at n=38A034449
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=25A045946
- Numbers that divide the sum of cubes of their divisors.at n=37A046763
- Numbers k such that k | sigma_11(k) - phi(k)^11.at n=12A055705
- Freestyle perfect numbers n = Product_{i=1,..,k} f_i^e_i where 1 < f_1 < ... < f_k, e_i > 0, such that 2n = Product_{i=1,..,k} (f_i^(e_i+1)-1)/(f_i-1).at n=43A058007
- Composite numbers k such that phi(k) divides sigma(k) - 2*k.at n=19A068412
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=30A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=31A077274
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=38A078667
- a(n) = Sum_{i=1..n} LookAndSay(i).at n=19A079664
- a(n) = lcm(p-1, p+1) where p is the n-th prime.at n=35A084921
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=38A085250
- Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=18A085788
- Solution to the non-squashing boxes problem (version 2).at n=28A089055
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=35A090784
- Numbers that can be expressed as the difference of the squares of primes in exactly five distinct ways.at n=11A092001
- Triangle, read by rows, such that the binomial transform of the n-th row lists the m-dimensional partitions of n, for n>=1 and m>=0.at n=61A096806
- Imaginary part of the Gaussian multiperfect number associated with the real part A100884.at n=34A100885