17048
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 31980
- Proper Divisor Sum (Aliquot Sum)
- 14932
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8520
- Möbius Function
- 0
- Radical
- 4262
- Omega Function (Ω)
- 4
- 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
- 79
- 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
- Triangle read by rows, formed from product of Aitken's (or Bell's) triangle (A011971) and Pascal's triangle (A007318).at n=25A095675
- Number of positive integers <= 10^n that are divisible by no prime exceeding 5.at n=21A106598
- Numerators of the squarefree totient analogs of the harmonic numbers F_n.at n=34A138316
- Numerators of the squarefree totient analogs of the harmonic numbers F_n.at n=35A138316
- Number of n X 2 0..2 arrays with row sums unimodal and column sums inverted unimodal.at n=4A223882
- T(n,k)=Number of nXk 0..2 arrays with row sums unimodal and column sums inverted unimodal.at n=16A223885
- T(n,k)=Number of nXk 0..2 arrays with row sums unimodal and column sums inverted unimodal.at n=19A223885
- T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal.at n=16A223892
- T(n,k)=Number of nXk 0..2 arrays with row sums and column sums unimodal.at n=19A223892
- Number of partitions of n such that (number of distinct parts) = multiplicity of the least part.at n=51A239962
- a(n) = ( 2*n*(2*n^2 + 11*n + 26) - (-1)^n + 1 )/16.at n=39A256666
- Indices of records in A305382.at n=16A306035
- Index of first occurrence of n in A305382.at n=25A316226
- Numbers k such that the k-th composition in standard order is an alternating permutation of {1..k} for some k.at n=20A349051