10741
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11232
- Proper Divisor Sum (Aliquot Sum)
- 491
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10252
- Möbius Function
- 1
- Radical
- 10741
- 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
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=41A025212
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 76 ones.at n=4A031844
- Engel expansion of the twin primes constant ~ .660161815846869573927812110014555778432623360284733413319448.at n=7A096189
- Square loops: the number of circular permutations (reversals not counted as different) of the numbers 0 to n such that the sum of any two consecutive numbers is a square.at n=11A108661
- Semiprimes in A056106.at n=21A113524
- Increasing gaps in the even sieve (A056533) by lower term.at n=18A119503
- a(n) = 12*n^2 + 22*n + 11.at n=29A154106
- Number of ways to place 5 nonattacking wazirs on an n X n board.at n=4A172228
- Number of ways to place 5 nonattacking wazirs on a 5 X n board.at n=4A172231
- The non-common part of the smaller number of an amicable pair.at n=18A180326
- a(n) = (n^3 - 3n^2 + 14n - 6)/6.at n=40A180415
- Imbalance of the sum of largest parts of all partitions of n.at n=32A194809
- Number of n X 3 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to itself.at n=17A195964
- Number of ways to place n nonattacking wazirs on an n X n board.at n=5A201511
- Triangle read by rows: T(n,k) = number of n X n binary matrices with k pairwise nonadjacent 1's, n >= 0, k = 0..n^2.at n=40A232833
- Number of partitions of n such that the number of parts or the number of distinct parts is a part.at n=37A241381
- a(n) is the sum of the base-b representations of n for 2 <= b <= n+1 read in base ten.at n=20A289335
- Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=5A303620
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=41A303624
- Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=3A303628