Properties of the Number 2536

Two Thousand Five Hundred Thirty-Six

Basics

Value: 2535 → 2536 → 2537

Parity: even

Prime: No

Previous Prime: 2531

Next Prime: 2539

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 317

Divisors: 1, 2, 4, 8, 317, 634, 1268, 2536

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111101000

Octal: 4750

Duodecimal: 1574

Hexadecimal: 9e8

Square: 6431296

Square Root: 50.35871324805669

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

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

Numbers m such that there are precisely 14 groups of order m. A294155

Regular triangle where T(n,k) is the number of non-isomorphic connected multiset partitions of weight n with density -1 <= k < n-2. A321155

Expansion of ∏_{m >= 1} (1 + q^m)^-2. A22597

Sum of the eighth largest parts in the partitions of n into 10 squarefree parts. A326630

23-gonal numbers: a(n) = n(21n-19)/2. A51875

Coefficients of replicable function number "48g". A73252

Numbers n such that the interval n² < x < (n+1)² contains two or more distinct nonsquare perfect powers A097054. A97056

Multiples of 8 that have a digit sum which is a multiple of 8. A216997

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the minimum plus the upper median equal to the lower median plus the maximum in every 2X2 subblock. A235893