5158
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7740
- Proper Divisor Sum (Aliquot Sum)
- 2582
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2578
- Möbius Function
- 1
- Radical
- 5158
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Coordination sequence T4 for Zeolite Code DDR.at n=45A008074
- Coordination sequence T3 for Zeolite Code MTT.at n=44A008191
- From George Gilbert's marks problem: jumping 7 marks at a time (final positions).at n=11A019998
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=7A020417
- 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 70.at n=20A031568
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 42 ones.at n=18A031810
- Numbers k such that 55*2^k+1 is prime.at n=15A032377
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 4 (mod 5).at n=41A035570
- Number of partitions of n with equal number of parts congruent to each of 0, 1 and 2 (mod 5).at n=55A035572
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=26A043078
- Number of positive integers <= 2^n of form 5 x^2 + 9 y^2.at n=16A054179
- Number of unlabeled digraphs on n nodes up to reversing the arcs.at n=4A054933
- a(1)=1, a(2)=8; for n >= 1, a(n+2)=(a(n+1)+a(n))/3 if (a(n+1)+a(n)==0 (mod 3)); a(n+2)=(a(n+1)+a(n))/2 if (a(n+1)+a(n)==0 (mod 2)); a(n+2)=a(n+1)+a(n) otherwise.at n=57A069218
- Semiprimes (A001358) whose digit reversal is a triangular number.at n=22A115741
- Number of permutations of 2 indistinguishable copies of 1..n with exactly 2 adjacent element pairs in decreasing order.at n=4A151624
- Number of permutations of 2 indistinguishable copies of 1..n with exactly 6 adjacent element pairs in decreasing order.at n=4A151628
- Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(2*n+1,i) * binomial(k+2-i,2)^n, 0 <= k <= 2*(n-1).at n=18A154283
- Irregular triangle read by rows: T(n,k) = Sum_{i=0..k} (-1)^i * binomial(2*n+1,i) * binomial(k+2-i,2)^n, 0 <= k <= 2*(n-1).at n=22A154283
- Row sums of triangle defined in A112593.at n=47A160991
- Numbers k such that k, k^2 - 5, and k^2 + 5 are semiprime.at n=26A173085