Number

6,011

6,011 is a prime, odd.

6,011 (six thousand eleven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x177B.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Evil Number Flippable Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

5,999 6,000 6,001 6,002 6,003 6,004 6,005 6,006 6,007 6,008 6,009 6,010 6,011 6,012 6,013 6,014 6,015 6,016 6,017 6,018 6,019 6,020 6,021 6,022 6,023

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Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 1,106
Flips to (rotate 180°): 1,109
Recamán's sequence: a(12,741) = 6,011
Square (n²): 36,132,121
Cube (n³): 217,190,179,331
Divisor count: 2
σ(n) — sum of divisors: 6,012
φ(n) — Euler's totient: 6,010

Primality

6,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 6011

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 6,011)

1 × 6011

First multiples

6,011 · 12,022 (double) · 18,033 · 24,044 · 30,055 · 36,066 · 42,077 · 48,088 · 54,099 · 60,110

Sums & aliquot sequence

As consecutive integers: 3,005 + 3,006

Continued fraction of √n

√6,011 = [77; (1, 1, 7, 1, 1, 1, 14, 1, 5, 1, 4, 6, 1, 5, 2, 1, 13, 2, 2, 2, 1, 30, 3, 3, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: six thousand eleven
Ordinal: 6011th
Binary: 1011101111011
Octal: 13573
Hexadecimal: 0x177B
Base64: F3s=
One's complement: 59,524 (16-bit)
Scientific notation: 6.011 × 10³
As a duration: 6,011 s = 1 hour, 40 minutes, 11 seconds

In other bases

ternary (3) 22020122

quaternary (4) 1131323

quinary (5) 143021

senary (6) 43455

septenary (7) 23345

nonary (9) 8218

undecimal (11) 4575

duodecimal (12) 358b

tridecimal (13) 2975

tetradecimal (14) 2295

pentadecimal (15) 1bab

As an angle

6,011° = 16 × 360° + 251°

251° ≈ 4.381 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺
Greek (Milesian): ͵ϛιαʹ
Mayan (base 20): 𝋯·𝋠·𝋫
Chinese: 六千零一十一
Chinese (financial): 陸仟零壹拾壹

In other modern scripts

Eastern Arabic ٦٠١١ Devanagari ६०११ Bengali ৬০১১ Tamil ௬௦௧௧ Thai ๖๐๑๑ Tibetan ༦༠༡༡ Khmer ៦០១១ Lao ໖໐໑໑ Burmese ၆၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 6,011 = 6
e — Euler's number (e): Digit 6,011 = 5
φ — Golden ratio (φ): Digit 6,011 = 9
√2 — Pythagoras's (√2): Digit 6,011 = 8
ln 2 — Natural log of 2: Digit 6,011 = 3
γ — Euler-Mascheroni (γ): Digit 6,011 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 6,007 (gap of 4)
Next prime: 6,029 (gap of 18)

Pair status: cousin with 6007.

Hex color

#00177B

RGB(0, 23, 123)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.123.

Address: 0.0.23.123
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.123

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

Musical pitch

Heard as a frequency, 6,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +26¢)
Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -36¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +28¢)

Position in π

The digit sequence 6011 first appears in π at position 7,142 of the decimal expansion (the 7,142ordinal-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 6011 on Pi Search ↗