1888
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 3780
- Proper Divisor Sum (Aliquot Sum)
- 1892
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 928
- Möbius Function
- 0
- Radical
- 118
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 2
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
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=25A002964
- Primitive pseudoperfect numbers.at n=30A006036
- Primitive nondeficient numbers.at n=25A006039
- a(n) = min_{k=1..n} (a(k-1) + 2^k*(n + a(n-k))); a(0) = 0.at n=9A006696
- Coordination sequence T2 for Zeolite Code VSV.at n=28A009915
- Numbers k such that phi(k + 11) | sigma(k).at n=40A015831
- Coordination sequence T5 for Zeolite Code CGF.at n=30A019455
- Numbers k such that the continued fraction for sqrt(k) has period 24.at n=27A020363
- Self-convolution of (1, p(1), p(2), ...).at n=13A023626
- Numbers that are the sum of 4 nonzero squares in exactly 5 ways.at n=51A025361
- Index of 7^n within the sequence of the numbers of the form 4^i*7^j.at n=51A025722
- Expansion of (theta_3(z)*theta_3(21z)+theta_2(z)*theta_2(21z))^4.at n=38A028652
- Inverse Euler transform of primes.at n=28A030010
- 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 21.at n=16A031519
- Numbers whose set of base-12 digits is {1,4}.at n=15A032824
- Numbers whose maximal base-10 run length is 3.at n=25A033284
- Expansion of Product_{d | 48} theta_3(q^d).at n=38A033760
- Trajectory of 1 under map n->37n+1 if n odd, n->n/2 if n even.at n=14A033974
- Decimal part of a(n)^(1/2) starts with n so that a(n)<a(n+1).at n=45A034067
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=37A034776