3137
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3138
- 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
- 3136
- Möbius Function
- -1
- Radical
- 3137
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- 446
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of inequivalent planar partitions of n, when considering them as 3D objects.at n=17A000786
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/4.at n=21A001134
- Primes of the form k^2 + 1.at n=13A002496
- a(1) = 1; a(2) = 2; a(n) == a(k) (mod n-k) for all 1 < k < n.at n=16A002987
- Occurrences of principal character.at n=10A005368
- a(n) = 1 + a(floor(n/2))*a(ceiling(n/2)) for n > 1, a(1) = 2.at n=9A005469
- Primitive prime factors of the sequence k^2 + 1 (A002522) in the order that they are found.at n=38A005529
- Expansion of critical exponent for walks on tetrahedral lattice.at n=7A007180
- Number of distinct degree sequences among all connected graphs with n nodes.at n=8A007721
- Primes p == 1 (mod 8), p = a^2 + 64*b^2 such that y^2 = x^3 + p*x has rank 2.at n=39A007766
- Juxtapose pairs of primes.at n=5A007795
- Crystal ball sequence for planar net 4.8.8.at n=48A008577
- Numbers such that every prefix and suffix is 1 or a prime.at n=26A012884
- a(n) is prime and sum of all primes <= a(n) is prime.at n=41A013917
- Largest prime factor of n^2 + 1.at n=55A014442
- Primes that are both left-truncatable and right-truncatable.at n=12A020994
- Lonely (or isolated) primes: least prime of distance n from nearest prime (n = 1 or even).at n=8A023188
- Right-truncatable primes: every prefix is prime.at n=33A024770
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=33A026042
- Primes that are concatenations of two consecutive primes.at n=1A030461