2037
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3136
- Proper Divisor Sum (Aliquot Sum)
- 1099
- 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
- 1152
- Möbius Function
- -1
- Radical
- 2037
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = 2^n - n.at n=11A000325
- a(n) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6.at n=37A005709
- Truncated cube numbers.at n=4A005912
- Number of distributive lattices; also number of paths with n turns when light is reflected from 4 glass plates.at n=7A006357
- Coordination sequence T1 for Zeolite Code MOR.at n=29A008182
- Coordination sequence T3 for Zeolite Code STI.at n=31A008236
- Expansion of 1/(1 - x^7 - x^8 - ...).at n=44A017901
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAR = Partheite Ca8[Al16Si16O60(OH)8].16H2O starting with a T4 atom.at n=5A019046
- Pseudoprimes to base 22.at n=19A020150
- Numbers k such that the sum of the digits of Fibonacci(k) in base 12 is k.at n=17A020996
- Index of 6^n within the sequence of the numbers of the form 2^i*6^j.at n=39A025712
- a(n) = position of the n-th n in A026409.at n=41A026412
- 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 30.at n=13A031528
- Numbers k such that 189*2^k+1 is prime.at n=18A032471
- Concatenations C1 and C2 are both prime (see the comment lines).at n=34A034815
- Expansion of sum ( q^n / product( 1-q^k, k=1..4*n), n=0..inf ).at n=21A035296
- Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1.at n=33A035970
- 4-wave sequence.at n=24A038197
- Top line of 4-wave sequence A038197, also bisection of A006357.at n=4A038225
- Coordination sequence T5 for Zeolite Code ESV.at n=30A038414