7043
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7044
- 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
- 7042
- Möbius Function
- -1
- Radical
- 7043
- 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
- 106
- 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
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 906
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Solid partitions of n, distinct along rows.at n=12A002936
- a(n) = Sum_{k=1..n} k*phi(k).at n=31A011755
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BOG = Boggsite Na4Ca7[Al18Si78O192].74H2O starting with a T5 atom.at n=12A019079
- 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 83.at n=18A031581
- Lower prime of a pair of consecutive primes having a difference of 14.at n=35A031932
- Dirichlet convolution of Fibonacci numbers with sigma(n).at n=19A034747
- Primes with first digit 7.at n=23A045713
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=22A046020
- Euclid-Mullin sequence (A000945) with initial value a(1)=89 instead of a(1)=2.at n=18A051328
- Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6*n.at n=22A052356
- n consecutive primes differ by 10 or more starting at a(n).at n=3A054695
- 5 consecutive primes differ by 2n or more starting at a(n).at n=4A054699
- Convolution triangle for Lucas numbers A000032(n+1), n >= 0.at n=49A060922
- Bisection of Lucas triangle A060922: odd-indexed members of column sequences of A060922 (not counting leading zeros).at n=25A060924
- Fourth convolution of Lucas numbers A000032(n+1), n >= 0.at n=5A060931
- Fifth column of Lucas bisection triangle (odd part).at n=2A061174
- Number of (0,1)-strings of length n that avoid the substrings of substrings 11101011 and 101111.at n=13A062259
- Numbers k such that 56^k - 55^k is a prime.at n=6A062622
- Primes containing 2k digits in which the sum of the first k digits is that of the last k digits.at n=42A068896
- a(n) = prime(n*(n+1)/2+3).at n=42A078724