Properties of the Number 4245

Four Thousand Two Hundred Forty-Five

Basics

Value: 4244 → 4245 → 4246

Parity: odd

Prime: No

Previous Prime: 4243

Next Prime: 4253

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 283

Divisors: 1, 3, 5, 15, 283, 849, 1415, 4245

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010010101

Octal: 10225

Duodecimal: 2559

Hexadecimal: 1095

Square: 18020025

Square Root: 65.1536645170477

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 A(n,k) of compositions (ordered partitions) of 1 into exactly k·n+1 powers of 1/(k+1); square array A(n,k), n>=0, k>=0, read by antidiagonals. A294746

Number of ways to split a strict integer partition of n into consecutive subsequences with weakly decreasing sums. A319794

Number of integer partitions of n such that, for all parts·of multiplicity 1, either x - 1 or x + 1 is also a part. A355393

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

Number of integer compositions of n that are the first sums of more than one composition. A391628

Discriminants of real quadratic fields of ERD-type with class groups of exponent 2 and discriminants of the form D = r²*k²+4k, k odd. A51992

Positions of 13 after decimal point in decimal expansion of π. A134213

T(n,k) = Number of (n+1) X (k+1) 0..3 arrays with the permanents of all 2 X 2 subblocks equal and nonzero. A204876

Let P1>=5, P2, P3 be consecutive primes, with P2-P1=2. a(n)=(P1+P2)/12 when P3-P2 sets a record. A329160

Smallest k such that k·2*p(n)²-1=q is prime k·2*q²-1=r k·2*r²-1=s, r and s are also prime. A224491