Number

3,011

3,011 is a prime, odd.

3,011 (three thousand eleven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMXI and in binary, 101111000011.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

2,999 3,000 3,001 3,002 3,003 3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020 3,021 3,022 3,023

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,103
Recamán's sequence: a(1,461) = 3,011
Square (n²): 9,066,121
Cube (n³): 27,298,090,331
Divisor count: 2
σ(n) — sum of divisors: 3,012
φ(n) — Euler's totient: 3,010

Primality

3,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3011

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,011)

1 × 3011

First multiples

3,011 · 6,022 (double) · 9,033 · 12,044 · 15,055 · 18,066 · 21,077 · 24,088 · 27,099 · 30,110

Sums & aliquot sequence

As consecutive integers: 1,505 + 1,506

Continued fraction of √n

√3,011 = [54; (1, 6, 1, 5, 1, 1, 2, 1, 1, 2, 10, 1, 1, 2, 2, 1, 2, 1, 5, 21, 1, 3, 2, 3, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: three thousand eleven
Ordinal: 3011th
Roman numeral: MMMXI
Binary: 101111000011
Octal: 5703
Hexadecimal: 0xBC3
Base64: C8M=
One's complement: 62,524 (16-bit)
Scientific notation: 3.011 × 10³
As a duration: 3,011 s = 50 minutes, 11 seconds

In other bases

ternary (3) 11010112

quaternary (4) 233003

quinary (5) 44021

senary (6) 21535

septenary (7) 11531

nonary (9) 4115

undecimal (11) 2298

duodecimal (12) 18ab

tridecimal (13) 14a8

tetradecimal (14) 1151

pentadecimal (15) d5b

As an angle

3,011° = 8 × 360° + 131°

131° ≈ 2.286 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓏺
Greek (Milesian): ͵γιαʹ
Mayan (base 20): 𝋧·𝋪·𝋫
Chinese: 三千零一十一
Chinese (financial): 參仟零壹拾壹

In other modern scripts

Eastern Arabic ٣٠١١ Devanagari ३०११ Bengali ৩০১১ Tamil ௩௦௧௧ Thai ๓๐๑๑ Tibetan ༣༠༡༡ Khmer ៣០១១ Lao ໓໐໑໑ Burmese ၃၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 3,011 = 0
e — Euler's number (e): Digit 3,011 = 0
φ — Golden ratio (φ): Digit 3,011 = 2
√2 — Pythagoras's (√2): Digit 3,011 = 7
ln 2 — Natural log of 2: Digit 3,011 = 0
γ — Euler-Mascheroni (γ): Digit 3,011 = 3

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,001 (gap of 10)
Next prime: 3,019 (gap of 8)

Hex color

#000BC3

RGB(0, 11, 195)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.195.

Address: 0.0.11.195
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.195

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

Musical pitch

Heard as a frequency, 3,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -33¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +31¢)

Position in π

The digit sequence 3011 first appears in π at position 492 of the decimal expansion (the 492ordinal-suffix:nd 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 3011 on Pi Search ↗