5427
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 8228
- Proper Divisor Sum (Aliquot Sum)
- 2801
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3564
- Möbius Function
- 0
- Radical
- 201
- Omega Function (Ω)
- 5
- 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
- 160
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into at most 6 parts.at n=44A001402
- a(n) = ceiling(1000*log_2(n)).at n=42A004267
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=55A011911
- a(1) = 2; a(n+1) = a(n)-th composite.at n=28A022450
- Number of partitions of n into prime power parts (1 included); number of nonisomorphic Abelian subgroups of symmetric group S_n.at n=34A023893
- T(2n,n+1), where T is the array defined in A026082.at n=5A026093
- Number of partitions of n in which the greatest part is 6.at n=50A026812
- Sequence satisfies T^2(a)=a, where T is defined below.at n=41A027593
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=31A029488
- 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 73.at n=10A031571
- Multiplicity of highest weight (or singular) vectors associated with character chi_105 of Monster module.at n=44A034493
- Multiplicity of highest weight (or singular) vectors associated with character chi_107 of Monster module.at n=44A034495
- Denominators of continued fraction convergents to sqrt(247).at n=11A041463
- Denominators of continued fraction convergents to sqrt(988).at n=7A042913
- Numbers n such that n | 6^n + 5^n + 4^n.at n=34A057235
- Let p and q be two prime numbers, not necessarily consecutive, such that q - p = 2n; a(n) is the number of distinct partitions of 2n into even numbers so that each partition corresponds to a consecutive prime difference pattern (k-tuple) and p<=A000230(n). Multiple occurrences of a partition are not counted.at n=43A079024
- Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.at n=26A083466
- Number of consecutive prime runs of 7 primes congruent to 3 mod 4 below 10^n.at n=7A092655
- Number of partitions of n into parts not greater than sqrt(n).at n=44A097356
- Coefficients of the D-Dyson mod 27 identity.at n=34A104504