Number

4,241

4,241 is a prime, odd.

4,241 (four thousand two hundred forty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1091.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

4,229 4,230 4,231 4,232 4,233 4,234 4,235 4,236 4,237 4,238 4,239 4,240 4,241 4,242 4,243 4,244 4,245 4,246 4,247 4,248 4,249 4,250 4,251 4,252 4,253

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 32
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 1,424
Recamán's sequence: a(54,605) = 4,241
Square (n²): 17,986,081
Cube (n³): 76,278,969,521
Divisor count: 2
σ(n) — sum of divisors: 4,242
φ(n) — Euler's totient: 4,240

Primality

4,241 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4241

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,241)

1 × 4241

First multiples

4,241 · 8,482 (double) · 12,723 · 16,964 · 21,205 · 25,446 · 29,687 · 33,928 · 38,169 · 42,410

Sums & aliquot sequence

As a sum of two squares: 4² + 65²

As consecutive integers: 2,120 + 2,121

Continued fraction of √n

√4,241 = [65; (8, 7, 1, 1, 6, 3, 9, 1, 2, 2, 1, 4, 1, 25, 4, 2, 4, 1, 3, 3, 1, 15, 1, 1, …)]

Period length 47 — the block in parentheses repeats forever.

Representations

In words: four thousand two hundred forty-one
Ordinal: 4241st
Binary: 1000010010001
Octal: 10221
Hexadecimal: 0x1091
Base64: EJE=
One's complement: 61,294 (16-bit)
Scientific notation: 4.241 × 10³
As a duration: 4,241 s = 1 hour, 10 minutes, 41 seconds

In other bases

ternary (3) 12211002

quaternary (4) 1002101

quinary (5) 113431

senary (6) 31345

septenary (7) 15236

nonary (9) 5732

undecimal (11) 3206

duodecimal (12) 2555

tridecimal (13) 1c13

tetradecimal (14) 178d

pentadecimal (15) 13cb

As an angle

4,241° = 11 × 360° + 281°

281° ≈ 4.904 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δσμαʹ
Mayan (base 20): 𝋪·𝋬·𝋡
Chinese: 四千二百四十一
Chinese (financial): 肆仟貳佰肆拾壹

In other modern scripts

Eastern Arabic ٤٢٤١ Devanagari ४२४१ Bengali ৪২৪১ Tamil ௪௨௪௧ Thai ๔๒๔๑ Tibetan ༤༢༤༡ Khmer ៤២៤១ Lao ໔໒໔໑ Burmese ၄၂၄၁

Digit at this position in famous constants

π — Pi (π): Digit 4,241 = 9
e — Euler's number (e): Digit 4,241 = 2
φ — Golden ratio (φ): Digit 4,241 = 3
√2 — Pythagoras's (√2): Digit 4,241 = 0
ln 2 — Natural log of 2: Digit 4,241 = 9
γ — Euler-Mascheroni (γ): Digit 4,241 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,231 (gap of 10)
Next prime: 4,243 (gap of 2)

Pair status: twin with 4243.

Unicode codepoint

႑

Myanmar Shan Digit One

U+1091

Decimal digit (Nd)

UTF-8 encoding: E1 82 91 (3 bytes).

Lookup U+1091 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001091

RGB(0, 16, 145)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.145.

Address: 0.0.16.145
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.145

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 4,241 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +23¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -40¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +24¢)

Position in π

The digit sequence 4241 first appears in π at position 1,878 of the decimal expansion (the 1,878ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 4241 on Pi Search ↗