9419
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9420
- 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
- 9418
- Möbius Function
- -1
- Radical
- 9419
- 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
- 104
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1165
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Supersingular primes of the elliptic curve X_0 (11).at n=13A006962
- Numbers such that ten iterations of Reverse and Add are needed to reach a palindrome.at n=6A015991
- 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 97.at n=1A031595
- Start of a string of exactly 4 consecutive (but disjoint) pairs of twin primes.at n=0A035792
- Number of n-node rooted identity trees of height at most 5.at n=20A038084
- Numbers n such that 183*2^n-1 is prime.at n=19A050843
- First of four consecutive primes that comprise two sets of twin primes.at n=35A053778
- McKay-Thompson series of class 28D for Monster.at n=30A058609
- Primes starting and ending with 9.at n=11A062335
- Numbers which need ten 'Reverse and Add' steps to reach a palindrome.at n=6A065215
- Numbers k such that sigma(k+2) - sigma(k) = prime(k+1) - prime(k).at n=28A067062
- Twin primes belonging to packs of four or more twin pairs.at n=0A068220
- Lowest primes in twin packs.at n=29A069457
- Twin primes belonging to packs of three or more twin pairs.at n=37A069467
- Smallest twin prime in a sequence of exactly n disjoint twin pairs, sandwiched between non-twins.at n=3A069472
- Define the composite field of a prime q to be f(q) = (t,s) if p, q, r are three consecutive primes and q-p = t and r-q = s. This is a sequence of primes q with field (6,2).at n=46A073651
- Prime sum of n-th group of successive primes in A073684.at n=35A073682
- Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=10A078420
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=34A079292
- Near twin primes of order 18: twin primes (p, p+2) such that p+18 and p+20 are primes.at n=22A079304