Properties of the Number 34705

Thirty-Four Thousand Seven Hundred Five

Basics

Value: 34704 → 34705 → 34706

Parity: odd

Prime: No

Previous Prime: 34703

Next Prime: 34721

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 11 × 631

Divisors: 1, 5, 11, 55, 631, 3155, 6941, 34705

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011110010001

Octal: 103621

Duodecimal: 18101

Hexadecimal: 8791

Square: 1204437025

Square Root: 186.29278032172905

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

a(n) = (2·n-1)*(5·n²-5·n+6)/6. A63489

a(n) = p(5n+4)/5 where p(k) denotes the k-th partition number. A71734

Generalized Catalan numbers: a(n+1) = a(n) + ∑_k=2..n-1 a(k)*a(n-1-k). A4149

Numbers n such that 5n is a partition number. A217725

Number of partitions of n with rank a multiple of 5. A363237

Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n having k UHD's; here U=(1,1), H=(1,0), and D=(1,-1). A190172

Number of (w,x,y,z) with all terms in {1,...,n} and 2∣w-x|=|x-y|+|y-z|. A212575

a(n) = ∑_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=5. A24951

Expansion of 1/((1-2x)(1-4x)(1-6x)(1-9x)). A25967

Triangle of T(n,k)=number of peakless Motzkin paths of length n containing k valleys (can be easily expressed using RNA secondary structure terminology). A89738