10390
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18720
- Proper Divisor Sum (Aliquot Sum)
- 8330
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4152
- Möbius Function
- -1
- Radical
- 10390
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- Number of partitions of 2n with all subsums different from n.at n=23A006827
- Numbers k such that 20*R_k + 9 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=10A056678
- Number of 2-anisohedral polyominoes of order n.at n=22A120646
- Numbers such that the digital sums in bases 3, 4, 5 and 6 all are equal.at n=18A135126
- Numbers such that the digital sums in bases 3, 4, 5, 6 and 7 all are equal.at n=7A135129
- Number of nondecreasing arrangements of n+2 numbers in 0..3 with each number being the sum mod 4 of two others.at n=35A183906
- Sum of positive cranks minus the sum of positive ranks of all partitions of n.at n=39A195012
- Nonprimes such that it takes exactly 4 iterations of reverse-and-add digits to generate a prime.at n=4A245209
- Expansion of Sum_{k>=1} (k*(5*k - 3)/2)*x^k/(1 - x^k).at n=58A278947
- For any k, the cumulative sum a(1) + a(2) + a(3) + ... + a(k) shares at least five digits with a(k). Lexicographically first sequence of positive integers without duplicate terms having this property.at n=19A326640
- Floor of area of quadrilateral with consecutive prime sides configured as a cyclic quadrilateral.at n=24A329950
- a(n) = floor(a(n-1)*3/2) bitwise-OR LSB(a(n-1)*n), with a(1)=2 (LSB = Least Significant Bit).at n=21A333589
- Triprimes a such that, if b is the next triprime, a + b and b - a are also triprimes.at n=45A365833
- Number of non-biquanimous integer partitions of n.at n=48A371795
- Number of graphs with n vertices that have no induced regular subgraph of order 6 or greater.at n=7A392636