14150
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 26412
- Proper Divisor Sum (Aliquot Sum)
- 12262
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5640
- Möbius Function
- 0
- Radical
- 2830
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Sum of 10 nonzero 8th powers.at n=25A003388
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=25A004229
- a(n) = 10000*log_10(n) rounded up.at n=25A004230
- Convolution of odd numbers and A001950.at n=24A023659
- Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=63A036824
- Numbers k such that 279*2^k + 1 is prime.at n=19A053356
- Numbers k such that sopf(k) = 2*sopf(k+1), where sopf(k) = A008472.at n=22A064112
- a(n) = (Sum_{k=1..n} A073698(k))^(1/n).at n=42A093928
- Number of 2 X 2 matrices with all terms in {0,1,...,n} and (sum of terms) = n + 3.at n=39A210375
- Sum of the largest parts of the partitions of 4n into 4 parts.at n=10A239667
- Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (number of distinct parts of p).at n=38A240306
- Numbers k such that (19*10^k + 161)/9 is prime.at n=22A275323
- Number of 3 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=9A281402
- Indices of primes in A022629.at n=47A285222
- G.f.: Sum_{n>=0} (1 + (1+x)^n)^n / (2 + (1+x)^n)^(n+1).at n=5A302598
- Sum of the largest parts of the partitions of n into 4 parts.at n=44A308760
- Number of (binary) max-heaps on n elements from the set {0,1} containing exactly seven 0's.at n=23A326508
- Triangle read by rows. Number T(n, k) of partitions of the multiset [1, 1, 1, 1, 2, 2, 2, 2, ..., n, n, n, n] into k nonempty subsets, for 4 <= k <= 4n.at n=38A360038
- Number of ways that n can be expressed as a sum of consecutive integers from 0 up to at most n, where any of the terms in the sum can be negated, and the partial sum from 0 is always between 0 and n inclusive.at n=56A364721