5321
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5652
- Proper Divisor Sum (Aliquot Sum)
- 331
- 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
- 4992
- Möbius Function
- 1
- Radical
- 5321
- 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
- 54
- 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
- Crystal ball sequence for A_4 lattice.at n=6A008384
- If a, b in sequence, so is ab+7.at n=38A009312
- Numerator of sum of -4th powers of divisors of n.at n=9A017671
- Pseudoprimes to base 25.at n=46A020153
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=23A020370
- a(1) = 3; a(n+1) = a(n)-th nonprime, where nonprimes begin at 0.at n=31A025000
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+3 or 12k-3.at n=55A036018
- Denominators of continued fraction convergents to sqrt(339).at n=9A041641
- a(n)=T(n,3), array T as in A049735.at n=41A049746
- McKay-Thompson series of class 46C for the Monster group.at n=49A058689
- Second 11-gonal (or hendecagonal) numbers: a(n) = n*(9*n+7)/2.at n=34A062728
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=25A064905
- Dealing cards in a game of solitaire.at n=11A071761
- Diagonal in array of n-gonal numbers A081422.at n=16A081438
- Triangle read by rows: the n-th row contains n numbers sorted in decreasing value, each build by dropping a different number from the sequence [n,n-1,n-2,....,1] and concatenating the n-1 others. By definition the first row contains 0.at n=13A081541
- Number of partitions of n in which number of least parts is equal to least part.at n=38A096403
- A puzzle: reverse digits of n^2 + 10.at n=35A097990
- A puzzle: reverse digits of n^2 + 10.at n=35A097991
- Table of crystal ball sequences for A_n lattices read by antidiagonals.at n=59A099608
- Square array, read by antidiagonals, where row n equals the crystal ball sequence for the A_n lattice.at n=61A108625