Number

5,021

5,021 is a prime, odd.

5,021 (five thousand twenty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x139D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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 5,024 5,025 5,026 5,027 5,028 5,029 5,030 5,031 5,032 5,033

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 13 bits
Reversed: 1,205
Recamán's sequence: a(54,217) = 5,021
Square (n²): 25,210,441
Cube (n³): 126,581,624,261
Divisor count: 2
σ(n) — sum of divisors: 5,022
φ(n) — Euler's totient: 5,020

Primality

5,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 5021

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 5,021)

1 × 5021

First multiples

5,021 · 10,042 (double) · 15,063 · 20,084 · 25,105 · 30,126 · 35,147 · 40,168 · 45,189 · 50,210

Sums & aliquot sequence

As a sum of two squares: 11² + 70²

As consecutive integers: 2,510 + 2,511

Continued fraction of √n

√5,021 = [70; (1, 6, 10, 1, 3, 7, 4, 1, 12, 12, 1, 4, 7, 3, 1, 10, 6, 1, 140)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words: five thousand twenty-one
Ordinal: 5021st
Binary: 1001110011101
Octal: 11635
Hexadecimal: 0x139D
Base64: E50=
One's complement: 60,514 (16-bit)
Scientific notation: 5.021 × 10³
As a duration: 5,021 s = 1 hour, 23 minutes, 41 seconds

In other bases

ternary (3) 20212222

quaternary (4) 1032131

quinary (5) 130041

senary (6) 35125

septenary (7) 20432

nonary (9) 6788

undecimal (11) 3855

duodecimal (12) 2aa5

tridecimal (13) 2393

tetradecimal (14) 1b89

pentadecimal (15) 174b

As an angle

5,021° = 13 × 360° + 341°

341° ≈ 5.952 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian): ͵εκαʹ
Mayan (base 20): 𝋬·𝋫·𝋡
Chinese: 五千零二十一
Chinese (financial): 伍仟零貳拾壹

In other modern scripts

Eastern Arabic ٥٠٢١ Devanagari ५०२१ Bengali ৫০২১ Tamil ௫௦௨௧ Thai ๕๐๒๑ Tibetan ༥༠༢༡ Khmer ៥០២១ Lao ໕໐໒໑ Burmese ၅၀၂၁

Digit at this position in famous constants

π — Pi (π): Digit 5,021 = 1
e — Euler's number (e): Digit 5,021 = 3
φ — Golden ratio (φ): Digit 5,021 = 5
√2 — Pythagoras's (√2): Digit 5,021 = 1
ln 2 — Natural log of 2: Digit 5,021 = 1
γ — Euler-Mascheroni (γ): Digit 5,021 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 5,011 (gap of 10)
Next prime: 5,023 (gap of 2)

Pair status: twin with 5023.

Hex color

#00139D

RGB(0, 19, 157)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.157.

Address: 0.0.19.157
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.19.157

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

Musical pitch

Heard as a frequency, 5,021 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -47¢ — about midway to D♯8)
Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +16¢)

Position in π

The digit sequence 5021 first appears in π at position 15,570 of the decimal expansion (the 15,570ordinal-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 5021 on Pi Search ↗