6553
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6554
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 6552
- Möbius Function
- -1
- Radical
- 6553
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 137
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 847
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of one-sided strictly 3-dimensional polyominoes with n cells.at n=7A006759
- Expansion of (1-x)/(1-2*x+x^2-2*x^3).at n=14A007909
- a(n) = 3*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.at n=7A015524
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite LTN = Linde Type N Na384[Al384Si384O1536].518H2O starting with a T2 atom.at n=5A019037
- Numbers k such that the continued fraction for sqrt(k) has period 95.at n=3A020434
- Let q_k = p*(p+2) be product of k-th pair of twin primes; sequence gives values of p+2 such that (q_k)^2 > q_{k-i}*q_{k+i} for all 1 <= i <= k-1.at n=40A021007
- Primes that remain prime through 3 iterations of function f(x) = 5x + 6.at n=24A023285
- Expansion of (1+2*x+3*x^2+4*x^3+5*x^4)/(1-x-x^2-x^3-x^4-x^5).at n=12A023424
- a(n) = 3^n - n.at n=8A024024
- Primes of the form k^2 - 8.at n=18A028886
- Palindromic primes in base 4.at n=23A029972
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 1,2.at n=7A037481
- Least k such that A033178(k)=n.at n=39A038004
- Numbers having three 8's in base 9.at n=25A043487
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=14A045108
- Primes of the form n*phi(n)+1 where phi(n) is the Euler function.at n=36A046062
- Largest prime substring in 2^n (or 0 if none exist).at n=16A046268
- Largest prime substring in 4^n (0 if none).at n=8A046270
- Partial sums of A048696.at n=8A048772
- Primes p such that a pure prime power occurs between p and the next prime.at n=41A053607