9059
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9060
- 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
- 9058
- Möbius Function
- -1
- Radical
- 9059
- 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
- 65
- 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
- 1126
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=2A015991
- 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 95.at n=2A031593
- Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,3,1.at n=6A037723
- Primes with first digit 9.at n=23A045715
- Least prime in A031926 (lesser of 8-twins) whose distance to the next 8-twin is 6*n.at n=17A052353
- Number of positive integers <= 2^n of form x^2 + 13 y^2.at n=16A054227
- First member of a prime triple in a p^2 + p - 1 progression.at n=40A057324
- Primes starting and ending with 9.at n=4A062335
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=2A065215
- Numbers k such that k, 2*k+1, 3*k+2 are primes.at n=40A067256
- Prime numbers occurring at integer Pythagorean distance (radius) from 1 in Ulam square prime-spiral. Primes on axes are excluded.at n=18A078765
- Primes p such that p^2+p-1 and p^2+p+1 are twin primes.at n=24A088483
- Primes from merging of 4 successive digits in decimal expansion of Catalan's constant.at n=23A104918
- Numbers n such that p1=2n+3, p2=4n+5, p3=6n+7 and p4=8n+9 are all prime.at n=8A105653
- Positive integers i for which A112049(i) == 7.at n=20A112067
- Primes of the form prime(n+1)*prime(n+3) - prime(n)*prime(n+2) - 1, ordered by n.at n=40A118624
- Largest prime factor of Stirling numbers of first kind s(n,2) = A000254(n).at n=34A120299
- Primes p such that 2*p+1 and 2*p+3 are twin primes.at n=42A126107
- Numerators in convergents to 6/Pi^2 using 1/Zeta(s) = Sum_{k>=1} (mu(k)/k^s).at n=6A127900
- Primes p such that p*q-p-q and p*q+p+q are prime where q=nextprime(p).at n=23A128548