Number

4,261

4,261 is a prime, odd.

4,261 (four thousand two hundred sixty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x10A5.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,249 4,250 4,251 4,252 4,253 4,254 4,255 4,256 4,257 4,258 4,259 4,260 4,261 4,262 4,263 4,264 4,265 4,266 4,267 4,268 4,269 4,270 4,271 4,272 4,273

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Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 48
Digital root: 4
Palindrome: No
Bit width: 13 bits
Reversed: 1,624
Recamán's sequence: a(28,654) = 4,261
Square (n²): 18,156,121
Cube (n³): 77,363,231,581
Divisor count: 2
σ(n) — sum of divisors: 4,262
φ(n) — Euler's totient: 4,260

Primality

4,261 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4261

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,261)

1 × 4261

First multiples

4,261 · 8,522 (double) · 12,783 · 17,044 · 21,305 · 25,566 · 29,827 · 34,088 · 38,349 · 42,610

Sums & aliquot sequence

As a sum of two squares: 6² + 65²

As consecutive integers: 2,130 + 2,131

Continued fraction of √n

√4,261 = [65; (3, 1, 1, 1, 1, 1, 1, 1, 8, 11, 1, 3, 25, 1, 5, 1, 10, 43, 2, 2, 1, 5, 1, 4, …)]

Representations

In words: four thousand two hundred sixty-one
Ordinal: 4261st
Binary: 1000010100101
Octal: 10245
Hexadecimal: 0x10A5
Base64: EKU=
One's complement: 61,274 (16-bit)
Scientific notation: 4.261 × 10³
As a duration: 4,261 s = 1 hour, 11 minutes, 1 second

In other bases

ternary (3) 12211211

quaternary (4) 1002211

quinary (5) 114021

senary (6) 31421

septenary (7) 15265

nonary (9) 5754

undecimal (11) 3224

duodecimal (12) 2571

tridecimal (13) 1c2a

tetradecimal (14) 17a5

pentadecimal (15) 13e1

As an angle

4,261° = 11 × 360° + 301°

301° ≈ 5.253 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δσξαʹ
Mayan (base 20): 𝋪·𝋭·𝋡
Chinese: 四千二百六十一
Chinese (financial): 肆仟貳佰陸拾壹

In other modern scripts

Eastern Arabic ٤٢٦١ Devanagari ४२६१ Bengali ৪২৬১ Tamil ௪௨௬௧ Thai ๔๒๖๑ Tibetan ༤༢༦༡ Khmer ៤២៦១ Lao ໔໒໖໑ Burmese ၄၂၆၁

Digit at this position in famous constants

π — Pi (π): Digit 4,261 = 7
e — Euler's number (e): Digit 4,261 = 6
φ — Golden ratio (φ): Digit 4,261 = 7
√2 — Pythagoras's (√2): Digit 4,261 = 9
ln 2 — Natural log of 2: Digit 4,261 = 0
γ — Euler-Mascheroni (γ): Digit 4,261 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,259 (gap of 2)
Next prime: 4,271 (gap of 10)

Pair status: twin with 4259.

Unicode codepoint

Ⴅ

Georgian Capital Letter Vin

U+10A5

Uppercase letter (Lu)

UTF-8 encoding: E1 82 A5 (3 bytes).

Lookup U+10A5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0010A5

RGB(0, 16, 165)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.16.165.

Address: 0.0.16.165
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.16.165

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

Musical pitch

Heard as a frequency, 4,261 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, +31¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, +32¢)

Position in π

The digit sequence 4261 first appears in π at position 10,286 of the decimal expansion (the 10,286ordinal-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 4261 on Pi Search ↗