10037
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 10038
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10036
- Möbius Function
- -1
- Radical
- 10037
- 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
- 135
- 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
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1232
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of isomorphism classes of connected irreducible posets with n labeled points.at n=8A003431
- Numbers k such that the continued fraction for sqrt(k) has period 59.at n=12A020398
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=49A025200
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=23A046928
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=27A050968
- Number of nonisomorphic matroids of rank 3 on n labeled points.at n=7A058693
- Primes p such that p^12 reversed is also prime.at n=28A059705
- a(n) = A053061(n)/n.at n=36A061082
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=47A062294
- Integer part of (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=43A062482
- Number of partitions of n into distinct partition numbers.at n=23A068006
- Triangle read by rows in which row n gives n smallest n-digit primes.at n=12A073914
- Smallest n-digit prime whose external digits as well as internal digits form a prime, or 0 if no such number exists.at n=4A077361
- Antidiagonal sums of table A083362.at n=26A083364
- Smallest member of a pair of consecutive twin prime pairs that have one prime between them.at n=37A089629
- Primes p = prime(k) such that both p+2 and prime(k+4)-2 are prime numbers.at n=38A105411
- Primes p = prime(k) such that p+2 and prime(k+7)-2 are both prime numbers.at n=39A105414
- Primes p such that p + 2 and p^2 + 2^2 are primes.at n=22A107312
- Primes p such that [p,p+2] is a pair of twin primes and (p*(p+2)-1)/2 is prime.at n=41A109945
- a(n) = (A114043(n) - 1)/2.at n=15A115005