Number

4,021

4,021 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity: Odd
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 1,204
Recamán's sequence: a(14,349) = 4,021
Square (n²): 16,168,441
Cube (n³): 65,013,301,261
Divisor count: 2
σ(n) — sum of divisors: 4,022
φ(n) — Euler's totient: 4,020

Primality

4,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4021

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,021)

1 × 4021

First multiples

4,021 · 8,042 (double) · 12,063 · 16,084 · 20,105 · 24,126 · 28,147 · 32,168 · 36,189 · 40,210

Sums & aliquot sequence

As a sum of two squares: 39² + 50²

As consecutive integers: 2,010 + 2,011

Representations

In words: four thousand twenty-one
Ordinal: 4021st
Binary: 111110110101
Octal: 7665
Hexadecimal: 0xFB5
Base64: D7U=
One's complement: 61,514 (16-bit)

In other bases

ternary (3) 12111221

quaternary (4) 332311

quinary (5) 112041

senary (6) 30341

septenary (7) 14503

nonary (9) 5457

undecimal (11) 3026

duodecimal (12) 23b1

tridecimal (13) 1aa4

tetradecimal (14) 1673

pentadecimal (15) 12d1

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian): ͵δκαʹ
Mayan (base 20): 𝋪·𝋡·𝋡
Chinese: 四千零二十一
Chinese (financial): 肆仟零貳拾壹

In other modern scripts

Eastern Arabic ٤٠٢١ Devanagari ४०२१ Bengali ৪০২১ Tamil ௪௦௨௧ Thai ๔๐๒๑ Tibetan ༤༠༢༡ Khmer ៤០២១ Lao ໔໐໒໑ Burmese ၄၀၂၁

Digit at this position in famous constants

π — Pi (π): Digit 4,021 = 5
e — Euler's number (e): Digit 4,021 = 7
φ — Golden ratio (φ): Digit 4,021 = 5
√2 — Pythagoras's (√2): Digit 4,021 = 7
ln 2 — Natural log of 2: Digit 4,021 = 2
γ — Euler-Mascheroni (γ): Digit 4,021 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,019 (gap of 2)
Next prime: 4,027 (gap of 6)

Pair status: twin with 4019, sexy with 4027.

Unicode codepoint

ྵ

Tibetan Subjoined Letter Ssa

U+0FB5

Non-spacing mark (Mn)

UTF-8 encoding: E0 BE B5 (3 bytes).

Lookup U+0FB5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FB5

RGB(0, 15, 181)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.181.

Address: 0.0.15.181
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.181

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

Position in π

The digit sequence 4021 first appears in π at position 9,022 of the decimal expansion (the 9,022ordinal-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 4021 on Pi Search ↗