Number

4,421

4,421 is a prime, odd.

4,421 (four thousand four hundred twenty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1145.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

4,409 4,410 4,411 4,412 4,413 4,414 4,415 4,416 4,417 4,418 4,419 4,420 4,421 4,422 4,423 4,424 4,425 4,426 4,427 4,428 4,429 4,430 4,431 4,432 4,433

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 11
Digit product: 32
Digital root: 2
Palindrome: No
Bit width: 13 bits
Reversed: 1,244
Recamán's sequence: a(1,426) = 4,421
Square (n²): 19,545,241
Cube (n³): 86,409,510,461
Divisor count: 2
σ(n) — sum of divisors: 4,422
φ(n) — Euler's totient: 4,420

Primality

4,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 4421

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 4,421)

1 × 4421

First multiples

4,421 · 8,842 (double) · 13,263 · 17,684 · 22,105 · 26,526 · 30,947 · 35,368 · 39,789 · 44,210

Sums & aliquot sequence

As a sum of two squares: 14² + 65²

As consecutive integers: 2,210 + 2,211

Continued fraction of √n

√4,421 = [66; (2, 26, 10, 5, 4, 1, 1, 4, 5, 10, 26, 2, 132)]

Period length 13 — the block in parentheses repeats forever.

Representations

In words: four thousand four hundred twenty-one
Ordinal: 4421st
Binary: 1000101000101
Octal: 10505
Hexadecimal: 0x1145
Base64: EUU=
One's complement: 61,114 (16-bit)
Scientific notation: 4.421 × 10³
As a duration: 4,421 s = 1 hour, 13 minutes, 41 seconds

In other bases

ternary (3) 20001202

quaternary (4) 1011011

quinary (5) 120141

senary (6) 32245

septenary (7) 15614

nonary (9) 6052

undecimal (11) 335a

duodecimal (12) 2685

tridecimal (13) 2021

tetradecimal (14) 187b

pentadecimal (15) 149b

As an angle

4,421° = 12 × 360° + 101°

101° ≈ 1.763 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵δυκαʹ
Mayan (base 20): 𝋫·𝋡·𝋡
Chinese: 四千四百二十一
Chinese (financial): 肆仟肆佰貳拾壹

In other modern scripts

Eastern Arabic ٤٤٢١ Devanagari ४४२१ Bengali ৪৪২১ Tamil ௪௪௨௧ Thai ๔๔๒๑ Tibetan ༤༤༢༡ Khmer ៤៤២១ Lao ໔໔໒໑ Burmese ၄၄၂၁

Digit at this position in famous constants

π — Pi (π): Digit 4,421 = 6
e — Euler's number (e): Digit 4,421 = 8
φ — Golden ratio (φ): Digit 4,421 = 2
√2 — Pythagoras's (√2): Digit 4,421 = 4
ln 2 — Natural log of 2: Digit 4,421 = 2
γ — Euler-Mascheroni (γ): Digit 4,421 = 8

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 4,409 (gap of 12)
Next prime: 4,423 (gap of 2)

Pair status: twin with 4423.

Unicode codepoint

ᅅ

Hangul Choseong Ieung-Sios

U+1145

Other letter (Lo)

UTF-8 encoding: E1 85 85 (3 bytes).

Lookup U+1145 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001145

RGB(0, 17, 69)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.69.

Address: 0.0.17.69
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.17.69

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

Musical pitch

Heard as a frequency, 4,421 Hz is closest to:

Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, -5¢)
Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +32¢)
Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, -4¢)

Position in π

The digit sequence 4421 first appears in π at position 3,477 of the decimal expansion (the 3,477ordinal-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 4421 on Pi Search ↗