4007
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4008
- 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
- 4006
- Möbius Function
- -1
- Radical
- 4007
- 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
- 43
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 553
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=30A000353
- Coordination sequence T2 for Zeolite Code AFR.at n=48A008020
- Primes that remain prime through 2 iterations of function f(x) = 6x + 1.at n=37A023256
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=24A023867
- n written in fractional base 8/4.at n=39A024646
- T(n, 2*n-3), T given by A027960.at n=26A027965
- Number of even graphical partitions of order 2n - number of odd graphical partitions of order 2n.at n=7A029892
- Product of n with 666 is palindromic.at n=33A030094
- Primes p such that 666p is palindromic.at n=3A030095
- 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 63.at n=2A031561
- a(n) = 2*n^2 + 3*n + 3.at n=44A033816
- Primes which are not the sum of consecutive composite numbers.at n=25A037174
- Numbers k such that the string 0,7 occurs in the base 10 representation of k but not of k-1.at n=42A044339
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=28A045231
- Primes with first digit 4.at n=22A045710
- Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=16A046122
- Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes.at n=30A047948
- Number of colors that can be mixed with n >= 0 units of yellow, blue, red.at n=29A048241
- Numbers n such that 81*2^n-1 is prime.at n=15A050566
- Euclid-Mullin sequence (A000945) with initial value a(1)=37 instead of a(1)=2.at n=24A051316