6007
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 6008
- 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
- 6006
- Möbius Function
- -1
- Radical
- 6007
- 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
- 41
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 784
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=39A001136
- Primes of form k^2 + k + 1.at n=26A002383
- Cellular automaton with Rule 230: 000, 001, 010, 011, ..., 111 -> 0,1,1,0,0,1,1,1.at n=12A006977
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=32A007353
- a(n) = prime(n^2).at n=27A011757
- a(n) = Sum_{k=0..floor(n/2)} T(n,k), T given by A026780.at n=11A026788
- 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 77.at n=4A031575
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=15A031814
- Upper prime of a difference of 20 between consecutive primes.at n=7A031939
- Numbers whose base-4 representation contains exactly four 1's and three 3's.at n=5A045132
- Primes with first digit 6.at n=18A045712
- a(n) = 4*n^2 - 10*n + 7.at n=39A054554
- Triangle T(n,k) of numbers of proper k-covers of an unlabeled n-set, k=1..2^n-2.at n=27A055127
- Primes p whose period of reciprocal equals (p-1)/7.at n=5A056212
- Primes which can be written as (b^k+1)/(b+1) for positive integers b and k.at n=32A059055
- Primes p that have exactly two primitive roots that are not primitive roots mod p^2.at n=26A060518
- Number of Young tableaux with n=i*j cells and type i*j matrices with i>=j.at n=14A067231
- Smallest prime in which the n-th significant digit is a 6.at n=2A069595
- Primes all of whose internal digits (if any) are 0.at n=48A069675
- Index of smallest Fibonacci number beginning with the n-th Fibonacci number other than itself.at n=20A072520