Properties of the Number 1506

One Thousand Five Hundred Six

Basics

Value: 1505 → 1506 → 1507

Parity: even

Prime: No

Previous Prime: 1499

Next Prime: 1511

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 251

Divisors: 1, 2, 3, 6, 251, 502, 753, 1506

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111100010

Octal: 2742

Duodecimal: A56

Hexadecimal: 5e2

Square: 2268036

Square Root: 38.80721582386451

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

Numbers which are the sum of 3 nonzero 4th powers. A3337

Number of integer partitions of n whose first differences (assuming the last part is zero) are unimodal. A332283

Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts. A379720

Number of Golomb partitions of n. A325858

Expansion of 1 / f(-x¹, -x⁵) in powers of·where f() is Ramanujan's two-variable θ function. A195848

Number of partitions of n into >= 2 parts and with minimum part >= 2. A83751

Lower triangular matrix T, read by rows, such that the row sums of Tⁿ form the n-dimensional partitions. A96651

Numbers j in pairs (j,k), with j <> k +- 1, such that the sum of their cubes is equal to a centered cube number. A352135

Recurrence a(n+2) = ∑_k=0..n binomial(n,k)*a(k)*a(n+1-k) with a(0)=3, a(1)=-2. A289069

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219686