9049
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9050
- 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
- 9048
- Möbius Function
- -1
- Radical
- 9049
- 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
- 47
- 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
- 1125
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 5 positive 6th powers.at n=42A003361
- Primes whose reversal is a square.at n=11A007488
- For any circular arrangement of 0..n-1, let S = sum of squares of every sum of two contiguous numbers; then a(n) = # of distinct values of S.at n=37A007773
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=41A020354
- Primes with first digit 9.at n=22A045715
- For each prime p take the sum of nonprimes < p.at n=35A045717
- Largest prime substring in 3^n (0 if none).at n=10A046269
- Largest prime substring in 9^n (0 if none).at n=5A046275
- Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6*n.at n=37A052354
- Primes p such that x^29 = 2 has no solution mod p.at n=37A059256
- Squares of 1 and primes, written backwards.at n=25A060998
- Prime having only {0, 1, 4, 9} as digits.at n=42A061246
- Primes having only 0,4,6,8,9 as digits.at n=30A061372
- Primes starting and ending with 9.at n=3A062335
- Start of the first run of exactly n consecutive primes, none of which are twin primes.at n=19A065044
- Numbers n such that the Eisenstein integer (1 - ω)^n - 1 has prime norm, where ω = -1/2 + sqrt(-3)/2.at n=20A066408
- Sequence of prime numbers whose reverse is a nontrivial prime power (A025475).at n=8A067194
- Primes whose digit reversal is a nontrivial power.at n=14A069798
- Minimal set of prime-strings in base 10.at n=17A071062
- a(n) = floor((n+2)^(n+2)/n^n).at n=34A078111