16827
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 6213
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10920
- Möbius Function
- -1
- Radical
- 16827
- Omega Function (Ω)
- 3
- 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
- 66
- 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
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1-x)(1-3x)(1-5x)(1-8x)).at n=4A021434
- Concatenations C1 and C2 and C3 are all prime (see the comment lines).at n=7A034817
- Digitally balanced numbers in base 4: equal numbers of 0's, 1's, ... 3's.at n=19A049355
- Numbers k such that the sum of the first k composite numbers is palindromic.at n=11A053779
- Pseudo-random numbers: MS C 6.0 version.at n=13A084275
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (1, -1, -1), (1, 1, 0)}.at n=10A148566
- a(n) = smallest k such that A109671(k)=n, or -1 if n does not appear in A109671.at n=49A169741
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+2737)^2 = y^2.at n=37A201916
- Triangle of coefficients of polynomials v(n,x) jointly generated with A209417; see the Formula section.at n=63A209418
- Expansion of Product_{k>=1} (1+x^k)^(Fibonacci(k)).at n=17A261050
- Squarefree part of numerator of the squared area of the Heronian triangle with sequential odd sides whose shortest leg is 2*n+1.at n=35A334176
- Irregular triangle T(n,k) (n >= 0, k >= 2) read by rows. Consider the planar graph formed from an equilateral triangle with n equally spaced points placed on each edge, as discussed in A092867(n+1). Then T(n,k) is the number of interior points where exactly k chords cross.at n=42A366479