Properties of the Number 4141

Four Thousand One Hundred Forty-One

Basics

Value: 4140 → 4141 → 4142

Parity: odd

Prime: No

Previous Prime: 4139

Next Prime: 4153

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 41 × 101

Divisors: 1, 41, 101, 4141

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1000000101101

Octal: 10055

Duodecimal: 2491

Hexadecimal: 102d

Square: 17147881

Square Root: 64.35060217278468

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

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

a(n) = 8·n² - 4·n + 1. A80856

Values of n such that L(9) and N(9) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A226929

a(n) = ∑_k=1..n k·d(k) where d(k) is the number of divisors of k. A143127

Heinz numbers of integer partitions with as many even parts as odd parts and as many even conjugate parts as odd conjugate parts. A350946

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Pseudoprimes to base 10. A5939

Expansion of 1/((1-2·x)*(1+x+2·x²)). A89977