17155
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21312
- Proper Divisor Sum (Aliquot Sum)
- 4157
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13248
- Möbius Function
- -1
- Radical
- 17155
- 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
- 66
- 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
- no
- Odd
- yes
Appears in sequences
- A Fielder sequence.at n=15A001643
- a(n) = a(n-1) + a(n-2) + a(n-3), a(0)=3, a(1)=1, a(2)=3.at n=16A001644
- Quasi-Carmichael numbers to base -5: squarefree composites n such that prime p|n ==> p+5|n+5.at n=6A029565
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 15 ones.at n=21A031783
- Sequences A001644 and A000073 interleaved.at n=16A075676
- a(n) = K_3(n) = Sum_{k>=0} A090285(3,k)*2^k*binomial(n,k). a(n) = (4*n^3+30*n^2+56*n+15)/3.at n=21A090294
- Powers of 3-Step Lucas numbers (A001644).at n=32A105949
- Sum of primes p with n^2 < p < (n+1)^2.at n=38A108314
- Number of ascents of length at least 2 in all skew Dyck paths of semilength n.at n=34A128751
- Sequence of pairs k,g such that k*2^n-1, k*2^n-1+g, k*2^n-1+2*g, and k*2^n+3*g are four consecutive primes in arithmetic progression for the smallest odd k.at n=36A230699
- Quasi-Carmichael numbers to exactly two bases.at n=30A257752
- The sum of the first-column lengths of all bargraphs of semiperimeter n (n>=2).at n=9A273343
- Number of partitions of n such that the (sum of distinct odd parts) < n/2.at n=36A284612
- Number of partitions of n such that the (sum of distinct odd parts) <= n/2.at n=36A284613
- Number of total dominating sets in the n-Moebius ladder.at n=7A295420
- Nonsemiprimes in A306097 = A121707 \ A267999.at n=20A321488
- Base-ten n whose English number-word expression contains a letter making its n-th appearance in the list of consecutive positive integer number-words.at n=33A339753
- Number of integer partitions of n with at least two adjacent parts of quotient 2.at n=38A350846