5722
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8586
- Proper Divisor Sum (Aliquot Sum)
- 2864
- 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
- 2860
- Möbius Function
- 1
- Radical
- 5722
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- Number of partitions of 4n-1 into n nonnegative integers each no greater than 8.at n=13A001982
- Number of Havender tableaux of height 2 with n columns.at n=5A007345
- Numbers k such that the continued fraction for sqrt(k) has period 9.at n=31A010339
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=26A023541
- Convolution of Fibonacci numbers and A014306.at n=18A023614
- Denominators of continued fraction convergents to sqrt(631).at n=7A042211
- Numbers having three 7's in base 9.at n=19A043483
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=4A045108
- Starting from generation 6 add previous and next term yielding generation 7.at n=23A048453
- Numbers n such that 197*2^n-1 is prime.at n=22A050850
- Numbers k such that prime(k) + prime(k+1) is a square.at n=22A064397
- Length of list created by n substitutions k -> Range( -abs(k+1), abs(k-1), 2) starting with {1}.at n=9A084075
- Position of first occurrence of n in A090544.at n=54A090546
- The n-th prime minus n gives a triangular number.at n=47A115883
- Numbers k such that prime(k) + prime(k+1) is a perfect power.at n=28A132746
- 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), (1, 0, 1), (1, 1, -1)}.at n=9A148584
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=26A178639
- Number of n X 2 arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=5A221425
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=22A221429
- T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal or vertical neighbor, without consecutive moves in the same direction.at n=26A221429