Number

4,091

4,091 is a prime, odd.

4,091 (four thousand ninety-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111111111011.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

4,079 4,080 4,081 4,082 4,083 4,084 4,085 4,086 4,087 4,088 4,089 4,090 4,091 4,092 4,093 4,094 4,095 4,096 4,097 4,098 4,099 4,100 4,101 4,102 4,103

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,904
Recamán's sequence: a(14,209) = 4,091
Square (n²): 16,736,281
Cube (n³): 68,468,125,571
Divisor count: 2
σ(n) — sum of divisors: 4,092
φ(n) — Euler's totient: 4,090

Primality

4,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4091

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,091)

1 × 4091

First multiples

4,091 · 8,182 (double) · 12,273 · 16,364 · 20,455 · 24,546 · 28,637 · 32,728 · 36,819 · 40,910

Sums & aliquot sequence

As consecutive integers: 2,045 + 2,046

Continued fraction of √n

√4,091 = [63; (1, 24, 1, 1, 2, 4, 1, 2, 1, 1, 4, 2, 1, 9, 6, 1, 1, 1, 2, 3, 12, 2, 63, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: four thousand ninety-one
Ordinal: 4091st
Binary: 111111111011
Octal: 7773
Hexadecimal: 0xFFB
Base64: D/s=
One's complement: 61,444 (16-bit)
Scientific notation: 4.091 × 10³
As a duration: 4,091 s = 1 hour, 8 minutes, 11 seconds

In other bases

ternary (3) 12121112

quaternary (4) 333323

quinary (5) 112331

senary (6) 30535

septenary (7) 14633

nonary (9) 5545

undecimal (11) 308a

duodecimal (12) 244b

tridecimal (13) 1b29

tetradecimal (14) 16c3

pentadecimal (15) 132b

As an angle

4,091° = 11 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵δϟαʹ
Mayan (base 20): 𝋪·𝋤·𝋫
Chinese: 四千零九十一
Chinese (financial): 肆仟零玖拾壹

In other modern scripts

Eastern Arabic ٤٠٩١ Devanagari ४०९१ Bengali ৪০৯১ Tamil ௪௦௯௧ Thai ๔๐๙๑ Tibetan ༤༠༩༡ Khmer ៤០៩១ Lao ໔໐໙໑ Burmese ၄၀၉၁

Digit at this position in famous constants

π — Pi (π): Digit 4,091 = 4
e — Euler's number (e): Digit 4,091 = 2
φ — Golden ratio (φ): Digit 4,091 = 9
√2 — Pythagoras's (√2): Digit 4,091 = 7
ln 2 — Natural log of 2: Digit 4,091 = 5
γ — Euler-Mascheroni (γ): Digit 4,091 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,079 (gap of 12)
Next prime: 4,093 (gap of 2)

Pair status: twin with 4093.

Hex color

#000FFB

RGB(0, 15, 251)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.251.

Address: 0.0.15.251
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.251

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

Musical pitch

Heard as a frequency, 4,091 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -40¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -2¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -38¢)

Position in π

The digit sequence 4091 first appears in π at position 339 of the decimal expansion (the 339ordinal-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 4091 on Pi Search ↗