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Properties of the Number 34215

Thirty-Four Thousand Two Hundred Fifteen

Basics

Value: 34214 → 34215 → 34216

Parity: odd

Prime: No

Previous Prime: 34213

Next Prime: 34217

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 2281

Divisors: 1, 3, 5, 15, 2281, 6843, 11405, 34215

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010110100111

Octal: 102647

Duodecimal: 17973

Hexadecimal: 85a7

Square: 1170666225

Square Root: 184.9729709984678

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

Largest k such that round(1/(sqrt(prime(k+1))-sqrt(prime(k)))) = n where prime(n) denotes the n-th prime (conjectured values). A78693
a(n) is the least k such that the number of integers between (1/5)*prime(k) and (1/5)*prime(k+1) is n. A390786
a(n) is the least k such that the number of integers between (1/4)*prime(k) and (1/4)*prime(k+1) is n. A390785
Array read by rows in which the n-th row contains the multiples of n in increasing order using all the digits of first n numbers. A78189
Least number·such that there are n numbers of the form 6k-1 or 6k+1 between prime(x) and prime(x+1). A213903
Number of permutations in Sn that avoid the pattern 34215. A256205
Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 1100-1111-0100-0100 pattern in any orientation. A147471
Number of walks within N3 (the first octant of Z3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 1, -1), (1, 0, -1), (1, 0, 1)}. A149328
Numbers k such that (14·10k + 73)/3 is prime. A271340
a(n)=position of the first occurrence of a local maximum equal to 2n in A001223, n>1. A286729