4822
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7236
- Proper Divisor Sum (Aliquot Sum)
- 2414
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2410
- Möbius Function
- 1
- Radical
- 4822
- 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
- 165
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T3 for Zeolite Code MFS.at n=43A008175
- Sum of the numbers between the two n's in A026362.at n=36A026365
- Numbers having period-6 5-digitized sequences.at n=35A031190
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 68.at n=14A031566
- Coordination sequence Z12 for Zeolite Code STT.at n=46A038416
- Number of basis partitions of n+16 with Durfee square size 4.at n=35A053798
- Number of asymmetric (identity) trees with n nodes and 6 leaves.at n=7A055337
- Triangle A(n,m) of numbers of n-element ordered T_0-antichains on an unlabeled m-set or numbers of T_1-hypergraphs on n labeled nodes with m (not necessarily empty) distinct hyperedges (m=0,1,...,2^n).at n=26A059048
- Positive numbers whose product of digits is 8 times their sum.at n=42A062040
- Triangle of coefficients of powers of e^2 in numerators of Sum_{k>=1} {1 / (1 + k^2*Pi^2)^n}.at n=16A085470
- Least number k such that (1+1/k)^k yields n digits of e (A001113).at n=3A105053
- Numbers k such that 21^k - 2 is a prime.at n=17A128461
- 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, -1, 1), (0, 0, -1), (0, 1, 0), (1, 0, 0)}.at n=8A149844
- Greatest number m such that the fractional part of (4/3)^A154131(n) <= 1/m.at n=4A154135
- A156348 * A000010.at n=41A156834
- Number of binary strings of length n with no substrings equal to 0010 0101 or 1001.at n=11A164493
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=25A183898
- Number of (n+2) X 6 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=5A202443
- Number of (n+2) X 8 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=3A202445
- T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=39A202447