Properties of the Number 15034

Fifteen Thousand Thirty-Four

Basics

Value: 15033 → 15034 → 15035

Parity: even

Prime: No

Previous Prime: 15031

Next Prime: 15053

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 7517

Divisors: 1, 2, 7517, 15034

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11101010111010

Octal: 35272

Duodecimal: 884A

Hexadecimal: 3aba

Square: 226021156

Square Root: 122.61321299109652

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

Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32). A115671

Expansion of q·f(-q,-q⁷)² / (φ(q²) * ψ(-q)) in powers of q where φ(), ψ(), f(,) are Ramanujan θ functions. A224216

Partitions of 2·n + 1 into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32). A208851

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows. A231210

Molien series for invariants of finite Coxeter group A₈. A266777

Partitions of 2·n into parts not congruent to 0, +-2, +-12, +-14, 16 (mod 32). A185083

Partitions of n into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32). A208856

Number of distinct characteristic polynomials for 2 X 2 matrices with entries from {0, 1, ..., n}. A366448

Number of permutations of [n] with exactly two (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421. A228422

Number of compositions of n with difference -4 between the number of odd parts and the number of even parts, both counted without multiplicity. A242837