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Number

4,441

4,441 is a prime, odd.

4,441 (four thousand four hundred forty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1159.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
64
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
1,444
Recamán's sequence
a(5,858) = 4,441
Square (n²)
19,722,481
Cube (n³)
87,587,538,121
Divisor count
2
σ(n) — sum of divisors
4,442
φ(n) — Euler's totient
4,440

Primality

4,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,441)
1 × 4441
First multiples
4,441 · 8,882 (double) · 13,323 · 17,764 · 22,205 · 26,646 · 31,087 · 35,528 · 39,969 · 44,410

Sums & aliquot sequence

As a sum of two squares: 29² + 60²
As consecutive integers: 2,220 + 2,221

Continued fraction of √n

√4,441 = [66; (1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 4, 4, 2, 1, 2, 1, 1, 1, 3, 1, 1, 1, 132)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words
four thousand four hundred forty-one
Ordinal
4441st
Binary
1000101011001
Octal
10531
Hexadecimal
0x1159
Base64
EVk=
One's complement
61,094 (16-bit)
Scientific notation
4.441 × 10³
As a duration
4,441 s = 1 hour, 14 minutes, 1 second
In other bases
ternary (3) 20002111
quaternary (4) 1011121
quinary (5) 120231
senary (6) 32321
septenary (7) 15643
nonary (9) 6074
undecimal (11) 3378
duodecimal (12) 26a1
tridecimal (13) 2038
tetradecimal (14) 1893
pentadecimal (15) 14b1

As an angle

4,441° = 12 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵δυμαʹ
Mayan (base 20)
𝋫·𝋢·𝋡
Chinese
四千四百四十一
Chinese (financial)
肆仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ٤٤٤١ Devanagari ४४४१ Bengali ৪৪৪১ Tamil ௪௪௪௧ Thai ๔๔๔๑ Tibetan ༤༤༤༡ Khmer ៤៤៤១ Lao ໔໔໔໑ Burmese ၄၄၄၁

Digit at this position in famous constants

π — Pi (π)
Digit 4,441 = 4
e — Euler's number (e)
Digit 4,441 = 3
φ — Golden ratio (φ)
Digit 4,441 = 2
√2 — Pythagoras's (√2)
Digit 4,441 = 6
ln 2 — Natural log of 2
Digit 4,441 = 8
γ — Euler-Mascheroni (γ)
Digit 4,441 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,423 (gap of 18)
  • Next prime: 4,447 (gap of 6)

Pair status: sexy with 4447.

Unicode codepoint
Hangul Choseong Yeorinhieuh
U+1159
Other letter (Lo)

UTF-8 encoding: E1 85 99 (3 bytes).

Hex color
#001159
RGB(0, 17, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.89.

Address
0.0.17.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.89

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

Musical pitch

Heard as a frequency, 4,441 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, +2¢)
  • Scientific pitch (C4 = 256 Hz): C♯8 (4339.6 Hz, +40¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, +4¢)
Position in π

The digit sequence 4441 first appears in π at position 51,025 of the decimal expansion (the 51,025ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.