1038
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
- 2088
- Proper Divisor Sum (Aliquot Sum)
- 1050
- 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
- 344
- Möbius Function
- -1
- Radical
- 1038
- 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
- 62
- 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
- yes
- Odd
- no
Appears in sequences
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=40A001172
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=21A001524
- Number of two-rowed partitions of length 3.at n=21A001993
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=23A002134
- Numbers k such that 33*2^k - 1 is prime.at n=24A002240
- Numbers of the form (p^2 - 49)/120 where p is prime.at n=36A002382
- Nearest integer to exponential integral of n.at n=8A002460
- a(n) = a(n-1) + a(n-2) - a(n-3).at n=40A002798
- Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1.at n=60A003105
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=45A003113
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=14A003274
- Numbers that are the sum of 8 positive 5th powers.at n=33A003353
- a(n)=least number m such that m-a(n-1)<>a(j)-a(k) for all j,k less than m; a(1)=1, a(2)=3.at n=31A004979
- a(n) = cost of minimal multiplication-cost addition chain for n.at n=54A005766
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=36A007782
- Coordination sequence T5 for Zeolite Code GOO.at n=22A008115
- Coordination sequence T7 for Zeolite Code MTT.at n=20A008195
- Coordination sequence T2 for Zeolite Code TON.at n=20A008242
- If a, b in sequence, so is a*b+2.at n=39A009299
- Numbers n such that phi(n) | sigma_7(n).at n=37A015765