Number

5,011

5,011 is a prime, odd.

5,011 (five thousand eleven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1393.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

4,999 5,000 5,001 5,002 5,003 5,004 5,005 5,006 5,007 5,008 5,009 5,010 5,011 5,012 5,013 5,014 5,015 5,016 5,017 5,018 5,019 5,020 5,021 5,022 5,023

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Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 13 bits
Reversed: 1,105
Recamán's sequence: a(97,574) = 5,011
Square (n²): 25,110,121
Cube (n³): 125,826,816,331
Divisor count: 2
σ(n) — sum of divisors: 5,012
φ(n) — Euler's totient: 5,010

Primality

5,011 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5011

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,011)

1 × 5011

First multiples

5,011 · 10,022 (double) · 15,033 · 20,044 · 25,055 · 30,066 · 35,077 · 40,088 · 45,099 · 50,110

Sums & aliquot sequence

As consecutive integers: 2,505 + 2,506

Continued fraction of √n

√5,011 = [70; (1, 3, 1, 2, 1, 1, 1, 7, 1, 2, 3, 1, 4, 2, 8, 1, 69, 1, 8, 2, 4, 1, 3, 2, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words: five thousand eleven
Ordinal: 5011th
Binary: 1001110010011
Octal: 11623
Hexadecimal: 0x1393
Base64: E5M=
One's complement: 60,524 (16-bit)
Scientific notation: 5.011 × 10³
As a duration: 5,011 s = 1 hour, 23 minutes, 31 seconds

In other bases

ternary (3) 20212121

quaternary (4) 1032103

quinary (5) 130021

senary (6) 35111

septenary (7) 20416

nonary (9) 6777

undecimal (11) 3846

duodecimal (12) 2a97

tridecimal (13) 2386

tetradecimal (14) 1b7d

pentadecimal (15) 1741

As an angle

5,011° = 13 × 360° + 331°

331° ≈ 5.777 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓏺
Greek (Milesian): ͵ειαʹ
Mayan (base 20): 𝋬·𝋪·𝋫
Chinese: 五千零一十一
Chinese (financial): 伍仟零壹拾壹

In other modern scripts

Eastern Arabic ٥٠١١ Devanagari ५०११ Bengali ৫০১১ Tamil ௫௦௧௧ Thai ๕๐๑๑ Tibetan ༥༠༡༡ Khmer ៥០១១ Lao ໕໐໑໑ Burmese ၅၀၁၁

Digit at this position in famous constants

π — Pi (π): Digit 5,011 = 6
e — Euler's number (e): Digit 5,011 = 4
φ — Golden ratio (φ): Digit 5,011 = 0
√2 — Pythagoras's (√2): Digit 5,011 = 8
ln 2 — Natural log of 2: Digit 5,011 = 1
γ — Euler-Mascheroni (γ): Digit 5,011 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,009 (gap of 2)
Next prime: 5,021 (gap of 10)

Pair status: twin with 5009.

Unicode codepoint

᎓

Ethiopic Tonal Mark Short Rikrik

U+1393

Other symbol (So)

UTF-8 encoding: E1 8E 93 (3 bytes).

Lookup U+1393 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001393

RGB(0, 19, 147)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.147.

Address: 0.0.19.147
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.147

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

Musical pitch

Heard as a frequency, 5,011 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): D♯8 (4871 Hz, +49¢ — about midway to E8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +13¢)

Position in π

The digit sequence 5011 first appears in π at position 4,447 of the decimal expansion (the 4,447ordinal-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 5011 on Pi Search ↗