10028
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18480
- Proper Divisor Sum (Aliquot Sum)
- 8452
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4752
- Möbius Function
- 0
- Radical
- 5014
- Omega Function (Ω)
- 4
- 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
- 42
- 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
- Coordination sequence for alpha-Mn, Position Mn2.at n=26A009951
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049747.at n=31A049748
- Sum of absolute values of coefficients of expansion of (1-x)(1-x^2)(1-x^3)...(1-x^n).at n=35A061553
- Smallest of 5 consecutive integers divisible respectively by 5 consecutive primes.at n=5A072730
- Number of times the digit 6 appears in the first 10^n digits of Pi.at n=4A099297
- Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=8A186464
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=36A186472
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=44A186472
- Number of 6 X 6 0..n matrices with each 2 X 2 subblock idempotent.at n=32A224668
- Number of times the digit 7 appears in the first 10^n digits of Catalan's constant.at n=4A224816
- a(n) = n + (n base 2 regarded as a decimal number).at n=18A269130
- Numbers n such that Bernoulli number B_{n} has denominator 1410.at n=14A272369
- Triangle g(n,m) by rows: the number of m-compositions of Carlitz type of n without zero rows.at n=25A275080
- 10*n analog to Keith numbers.at n=19A282765
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+10001) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) + a(n-a(n-4)) for n > 0.at n=33A283890
- Relative of Hofstadter Q-sequence.at n=31A283891
- Relative of Hofstadter Q-sequence.at n=30A283892
- Indices of primes followed by a gap (distance to next larger prime) of 34.at n=36A320715
- a(n) = Sum_{i|n, j|n, k|n} i*j*k/gcd(i,j,k).at n=20A344133
- Lexicographically earliest sequence of distinct nonnegative terms wherein every digit of a(n) is the absolute difference of two adjacent digits in a(n+1).at n=13A362335