Number

5,051

5,051 is a prime, odd.

5,051 (five thousand fifty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x13BB.

Arithmetic Number Chen Prime Cube-Free Deficient Number Lazy Caterer Number Odious Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

5,039 5,040 5,041 5,042 5,043 5,044 5,045 5,046 5,047 5,048 5,049 5,050 5,051 5,052 5,053 5,054 5,055 5,056 5,057 5,058 5,059 5,060 5,061 5,062 5,063

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 1,505
Recamán's sequence: a(28,110) = 5,051
Square (n²): 25,512,601
Cube (n³): 128,864,147,651
Divisor count: 2
σ(n) — sum of divisors: 5,052
φ(n) — Euler's totient: 5,050

Primality

5,051 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5051

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,051)

1 × 5051

First multiples

5,051 · 10,102 (double) · 15,153 · 20,204 · 25,255 · 30,306 · 35,357 · 40,408 · 45,459 · 50,510

Sums & aliquot sequence

As consecutive integers: 2,525 + 2,526

Continued fraction of √n

√5,051 = [71; (14, 4, 1, 4, 1, 7, 1, 1, 6, 1, 19, 2, 3, 1, 1, 2, 1, 9, 2, 3, 3, 1, 3, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: five thousand fifty-one
Ordinal: 5051st
Binary: 1001110111011
Octal: 11673
Hexadecimal: 0x13BB
Base64: E7s=
One's complement: 60,484 (16-bit)
Scientific notation: 5.051 × 10³
As a duration: 5,051 s = 1 hour, 24 minutes, 11 seconds

In other bases

ternary (3) 20221002

quaternary (4) 1032323

quinary (5) 130201

senary (6) 35215

septenary (7) 20504

nonary (9) 6832

undecimal (11) 3882

duodecimal (12) 2b0b

tridecimal (13) 23b7

tetradecimal (14) 1bab

pentadecimal (15) 176b

As an angle

5,051° = 14 × 360° + 11°

11° ≈ 0.192 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵εναʹ
Mayan (base 20): 𝋬·𝋬·𝋫
Chinese: 五千零五十一
Chinese (financial): 伍仟零伍拾壹

In other modern scripts

Eastern Arabic ٥٠٥١ Devanagari ५०५१ Bengali ৫০৫১ Tamil ௫௦௫௧ Thai ๕๐๕๑ Tibetan ༥༠༥༡ Khmer ៥០៥១ Lao ໕໐໕໑ Burmese ၅၀၅၁

Digit at this position in famous constants

π — Pi (π): Digit 5,051 = 9
e — Euler's number (e): Digit 5,051 = 9
φ — Golden ratio (φ): Digit 5,051 = 0
√2 — Pythagoras's (√2): Digit 5,051 = 3
ln 2 — Natural log of 2: Digit 5,051 = 5
γ — Euler-Mascheroni (γ): Digit 5,051 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,039 (gap of 12)
Next prime: 5,059 (gap of 8)

Unicode codepoint

Ꮋ

Cherokee Letter Mi

U+13BB

Uppercase letter (Lu)

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

Lookup U+13BB on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0013BB

RGB(0, 19, 187)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.187.

Address: 0.0.19.187
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.187

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

Musical pitch

Heard as a frequency, 5,051 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +25¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -37¢)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +26¢)

Position in π

The digit sequence 5051 first appears in π at position 39,900 of the decimal expansion (the 39,900ordinal-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 5051 on Pi Search ↗