10749
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14336
- Proper Divisor Sum (Aliquot Sum)
- 3587
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7164
- Möbius Function
- 1
- Radical
- 10749
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 99
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Symmetries in planted 3-trees on n+1 vertices.at n=13A003611
- Number of primes p between powers of 2, 2^n < p <= 2^(n+1).at n=17A036378
- Binomial recurrence coefficients.at n=8A038560
- Numbers n such that 205*2^n-1 is prime.at n=21A050854
- Least k such that A072084(k) = n.at n=21A072087
- Sum of primes between successive pairs of twin primes.at n=40A078731
- Sum of primes p with n^2 < p < (n+1)^2.at n=33A108314
- Numbers k such that the k-th triangular number contains only digits {5,7,8}.at n=9A119225
- 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, 1), (-1, 1, -1), (0, 0, 1), (1, -1, 1), (1, 1, -1)}.at n=9A148405
- Similar to A072921 but starting with 3.at n=40A152232
- Number of ways to place zero or more nonadjacent 1,0 2,0 2,2 3,0 3,2 4,1 4,2 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155440
- a(n) = the number of noncomposites (primes or 1) that are n digits long when written in binary.at n=17A162145
- Partial sums of prime numbers of measurement A002049.at n=30A173702
- Number of Ramanujan primes <= 2^n.at n=18A190502
- Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=4A240408
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=25A240412
- Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.at n=2A240416
- The number of regions formed inside an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices.at n=14A332953
- The "quadruple commas" sequence, a variant of A121805. See the Comments and Example sections for detailed explanations.at n=49A365874
- Number of n-bit primes.at n=17A374403