Properties of the Number 34175

Thirty-Four Thousand One Hundred Seventy-Five

Basics

Value: 34174 → 34175 → 34176

Parity: odd

Prime: No

Previous Prime: 34171

Next Prime: 34183

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 ² × 1367

Divisors: 1, 5, 25, 1367, 6835, 34175

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101111111

Octal: 102577

Duodecimal: 1793B

Hexadecimal: 857f

Square: 1167930625

Square Root: 184.86481547336152

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

n sets a new record for number of iterations to reach 1 in the juggler sequence problem. A94679

Expansion of ∏_k>=1 1/(1 - x^k*(k+1/2))². A298435

Expansion of ∑_k>0 x^3·k/(1 - k·x^k)³. A363644

Consider the family of multigraphs enriched by the species of partitions. Sequence gives the triangle read by rows giving coefficients of polynomials arising from enumeration of those multigraphs on n edges of 5 different colors. A98346

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (1, -1, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1)}. A151238

Number of compositions (ordered partitions) of n into decimal palindromic primes (A002385). A286970

a(n) is minimal such that a(n)+a(n-1) is a square and a(n) is not in {a(0), ..., a(n-1)}. A34175

5th binomial transform of (1,1,0,0,0,0,.....). A81105

Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero. A301604