6451
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
- 2
- Divisor Sum
- 6452
- 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
- 6450
- Möbius Function
- -1
- Radical
- 6451
- 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
- 62
- 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
- 838
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest prime p such that the product of q/(q-1) over the primes from prime(n) to p is greater than 2.at n=20A001275
- Values of k at which the period of the continued fraction for sqrt(k) sets a new record.at n=42A013645
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite ATS = MAPO-36 H[MgAl11P12O48] starting with a T2 atom.at n=5A018986
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=25A024972
- Primes p such that digits of p appear in p^2 and p^3.at n=37A030085
- 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 79.at n=22A031577
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=1A031836
- Lower prime of a difference of 18 between consecutive primes.at n=23A031936
- Base-2 digital convolution sequence.at n=31A033639
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=16A046014
- Numbers n such that 159*2^n-1 is prime.at n=19A050831
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=30A052358
- Primes p such that x^43 = 2 has no solution mod p.at n=19A059243
- Odd prime values of sigma(k) - phi(k) taking k in increasing order.at n=37A068419
- Number of words of length 2n generated by the two letters s and t that reduce to the identity 1 using the relations sssssss=1, tt=1 and stst=1. The generators s and t along with the three relations generate the 14-element dihedral group D7.at n=8A072266
- Number of compositions of n into twin primes (i.e., primes that are members of a twin prime pair, like 3, 5, 7, 11, 13, but not 2 or 23).at n=40A077608
- Balanced primes of order four.at n=5A082079
- Number of walks of length n between two adjacent nodes in the cycle graph C_7.at n=15A094052
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 16.at n=15A095651
- Primes from merging of 4 successive digits in decimal expansion of cos(1).at n=8A104960