Number

5,101

5,101 is a prime, odd.

5,101 (five thousand one hundred one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x13ED.

Arithmetic Number Centered Square Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

5,089 5,090 5,091 5,092 5,093 5,094 5,095 5,096 5,097 5,098 5,099 5,100 5,101 5,102 5,103 5,104 5,105 5,106 5,107 5,108 5,109 5,110 5,111 5,112 5,113

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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: 1,015
Recamán's sequence: a(5,010) = 5,101
Square (n²): 26,020,201
Cube (n³): 132,729,045,301
Divisor count: 2
σ(n) — sum of divisors: 5,102
φ(n) — Euler's totient: 5,100

Primality

5,101 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5101

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,101)

1 × 5101

First multiples

5,101 · 10,202 (double) · 15,303 · 20,404 · 25,505 · 30,606 · 35,707 · 40,808 · 45,909 · 51,010

Sums & aliquot sequence

As a sum of two squares: 50² + 51²

As consecutive integers: 2,550 + 2,551

Continued fraction of √n

√5,101 = [71; (2, 2, 1, 2, 11, 1, 1, 6, 1, 1, 1, 1, 1, 3, 2, 1, 8, 1, 4, 1, 4, 2, 5, 1, …)]

Representations

In words: five thousand one hundred one
Ordinal: 5101st
Binary: 1001111101101
Octal: 11755
Hexadecimal: 0x13ED
Base64: E+0=
One's complement: 60,434 (16-bit)
Scientific notation: 5.101 × 10³
As a duration: 5,101 s = 1 hour, 25 minutes, 1 second

In other bases

ternary (3) 20222221

quaternary (4) 1033231

quinary (5) 130401

senary (6) 35341

septenary (7) 20605

nonary (9) 6887

undecimal (11) 3918

duodecimal (12) 2b51

tridecimal (13) 2425

tetradecimal (14) 1c05

pentadecimal (15) 17a1

As an angle

5,101° = 14 × 360° + 61°

61° ≈ 1.065 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓍢𓏺
Greek (Milesian): ͵εραʹ
Mayan (base 20): 𝋬·𝋯·𝋡
Chinese: 五千一百零一
Chinese (financial): 伍仟壹佰零壹

In other modern scripts

Eastern Arabic ٥١٠١ Devanagari ५१०१ Bengali ৫১০১ Tamil ௫௧௦௧ Thai ๕๑๐๑ Tibetan ༥༡༠༡ Khmer ៥១០១ Lao ໕໑໐໑ Burmese ၅၁၀၁

Digit at this position in famous constants

π — Pi (π): Digit 5,101 = 5
e — Euler's number (e): Digit 5,101 = 1
φ — Golden ratio (φ): Digit 5,101 = 3
√2 — Pythagoras's (√2): Digit 5,101 = 9
ln 2 — Natural log of 2: Digit 5,101 = 8
γ — Euler-Mascheroni (γ): Digit 5,101 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,099 (gap of 2)
Next prime: 5,107 (gap of 6)

Pair status: twin with 5099, sexy with 5107.

Unicode codepoint

Ꮽ

Cherokee Letter Wu

U+13ED

Uppercase letter (Lu)

UTF-8 encoding: E1 8F AD (3 bytes).

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

Hex color

#0013ED

RGB(0, 19, 237)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.237.

Address: 0.0.19.237
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.237

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

Musical pitch

Heard as a frequency, 5,101 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +42¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -20¢)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +44¢)

Position in π

The digit sequence 5101 first appears in π at position 8,616 of the decimal expansion (the 8,616ordinal-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 5101 on Pi Search ↗