9029
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9030
- 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
- 9028
- Möbius Function
- -1
- Radical
- 9029
- 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
- 39
- 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
- 1122
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of form k^2 + 4.at n=19A005473
- E.g.f. log(1+sin(x))*exp(x).at n=11A009334
- Upper prime of a difference of 16 between consecutive primes.at n=29A031935
- Primes with first digit 9.at n=19A045715
- Least prime in A031930 (lesser of 12-twins) whose distance to the next 12-twin is 2*n.at n=25A052355
- Primes p such that x^37 = 2 has no solution mod p.at n=30A059223
- Primes p such that x^61 = 2 has no solution mod p.at n=21A059230
- Primes starting and ending with 9.at n=2A062335
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=36A068016
- Numbers k such that 2^k - k^2 is prime.at n=24A072180
- a(n) = 4*(n+1)*n + 5.at n=47A078370
- Primes prime(k) such that prime(k)*k falls between twin primes.at n=9A080174
- Balanced primes of order five.at n=25A096697
- Primes of the form n^2 + 4n + 8.at n=18A098062
- Primes of the form 47n+5.at n=26A100760
- Highly cototient numbers that are prime, or intersection of A000040 and A100827.at n=27A105440
- Primes p such that little googol - p is prime.at n=23A108256
- Sum of parts, counted without multiplicities, in all partitions of n into odd parts.at n=32A116930
- Primes of the form A124080 (10 times triangular numbers) +- 1.at n=42A124110
- Primes p such that 2*p+1 and 2*p+3 are twin primes.at n=41A126107