13846
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 25344
- Proper Divisor Sum (Aliquot Sum)
- 11498
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5544
- Möbius Function
- 1
- Radical
- 13846
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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*(15*n - 1)/2.at n=43A022272
- a(n) = sum of squares of first n positive integers congruent to 1 mod 4.at n=13A024381
- a(n) = Sum_{i=1..n} LookAndSay(i).at n=22A079664
- Diagonal sums of number array A082105.at n=13A082107
- Number of n X n symmetric binary matrices with no row sum greater than 3.at n=5A139679
- Transform of the finite sequence (1, 0, -1) by the T_{0,1} transformation (see link).at n=11A159340
- Partial sums of sequence A177342.at n=13A178073
- Number of 2 X 2 matrices having all terms in {1,...,n} and determinant in the closed interval [0,n].at n=19A211057
- Number of (w,x,y) with all terms in {0,...,n} and w < R < 2*w, where R = range{w,x,y} = max(w,x,y)-min(w,x,y).at n=43A213400
- Number of n X 1 0..4 arrays with no element equal to another at a city block distance of exactly two, and new values 0..4 introduced in row major order.at n=9A222939
- Number of non-equivalent ways to choose two points in an equilateral triangle grid of side n.at n=27A227327
- Number of nX4 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=3A240361
- T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=24A240364
- Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or two plus the sum of the elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=3A240367
- Number of partitions p of n such that neither floor(mean(p)) nor ceiling(mean(p)) is a part.at n=43A241343
- Padovan like sequence: a(n) = a(n-2) + a(n-3) for n>3, a(1)=2, a(2)=2, a(3)=0.at n=34A276275
- a(n) = (5/128)*n^4*(n mod 2) + (((-5/128)*n^4*(n mod 2) - 26) mod n) + n^3 (n > 0).at n=23A294264
- Number of locally disjoint enriched identity p-trees of weight n.at n=13A331684
- Array read by antidiagonals: T(n,k) is the number of n X n symmetric binary matrices with no row sum greater than k.at n=41A334548
- a(n) is the number of possible values of numbers of divisors of numbers k with Omega(k) = n.at n=44A355027