4003
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4004
- 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
- 4002
- Möbius Function
- -1
- Radical
- 4003
- 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
- 51
- 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
- 552
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=30A007354
- Coordination sequence T4 for Zeolite Code AFR.at n=48A008022
- Coordination sequence T4 for Zeolite Code BOG.at n=45A008052
- Coordination sequence T3 for Zeolite Code LAU.at n=45A008126
- Poincaré series [or Poincare series] for depths of roots in a certain root system.at n=17A019528
- Numbers k such that the continued fraction for sqrt(k) has period 66.at n=8A020405
- 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=34A021007
- Fibonacci sequence beginning 1, 10.at n=14A022100
- Primes that remain prime through 2 iterations of function f(x) = 8x + 3.at n=38A023261
- n written in fractional base 8/4.at n=35A024646
- Smallest prime in Goldbach partition of A025018(n).at n=48A025019
- Primes p such that p+1 is palindromic.at n=21A028981
- 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=1A031561
- Coordination sequence T1 for Zeolite Code CFI.at n=42A033599
- Primes p such that x^23 = 2 has no solution mod p.at n=26A040984
- Denominators of continued fraction convergents to sqrt(705).at n=7A042357
- Numbers k such that the string 0,3 occurs in the base 10 representation of k but not of k-1.at n=42A044335
- Primes with first digit 4.at n=21A045710
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=17A046010
- Eigensequence of a power series transformation.at n=11A049075