1237
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 1238
- 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
- 1236
- Möbius Function
- -1
- Radical
- 1237
- 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
- 26
- 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
- 203
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that phi(2k+1) < phi(2k).at n=15A001837
- From a Goldbach conjecture: records in A185091.at n=20A002092
- a(n) = n*a(n-1) + 1, a(0) = 0.at n=6A002627
- a(n) = least integer m > a(n-1) such that m - a(n-1) != a(j) - a(k) for all j, k less than n; a(1) = 1, a(2) = 2.at n=34A004978
- Primes p such that 2p-1 is also prime.at n=38A005382
- Primes p such that (p+1)/2 is prime.at n=25A005383
- Positions of remoteness 3 in Beans-Don't-Talk.at n=24A005695
- Number of integer partitions of n whose smallest part is equal to the number of parts.at n=61A006141
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=10A007354
- Coordination sequence T1 for Banalsite.at n=21A008249
- Crystal ball sequence for planar net 3.6.3.6.at n=23A008580
- Harmonic Molien series for Conway group Con.0.at n=35A008924
- a(n) = floor(binomial(n,5)/5).at n=17A011851
- A problem in derangements.at n=4A013520
- Strictly non-palindromic numbers: n is not palindromic in any base b with 2 <= b <= n-2.at n=48A016038
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12).at n=48A017861
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=1A020374
- Smallest nonempty set S containing prime divisors of 9k+4 for each k in S.at n=52A020626
- Number of 3's in n-th term of A022470.at n=30A022474
- Place where n-th 1 occurs in A007337.at n=37A022777