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Number

4,481

4,481 is a prime, odd.

4,481 (four thousand four hundred eighty-one) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1181.

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

Interestingness

10 notable facts · grade A
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Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
128
Digital root
8
Palindrome
No
Bit width
13 bits
Reversed
1,844
Recamán's sequence
a(5,778) = 4,481
Square (n²)
20,079,361
Cube (n³)
89,975,616,641
Divisor count
2
σ(n) — sum of divisors
4,482
φ(n) — Euler's totient
4,480

Primality

4,481 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4481
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,481)
1 × 4481
First multiples
4,481 · 8,962 (double) · 13,443 · 17,924 · 22,405 · 26,886 · 31,367 · 35,848 · 40,329 · 44,810

Sums & aliquot sequence

As a sum of two squares: 16² + 65²
As consecutive integers: 2,240 + 2,241

Continued fraction of √n

√4,481 = [66; (1, 15, 1, 2, 1, 7, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 7, 1, 2, 1, …)]

Period length 27 — the block in parentheses repeats forever.

Representations

In words
four thousand four hundred eighty-one
Ordinal
4481st
Binary
1000110000001
Octal
10601
Hexadecimal
0x1181
Base64
EYE=
One's complement
61,054 (16-bit)
Scientific notation
4.481 × 10³
As a duration
4,481 s = 1 hour, 14 minutes, 41 seconds
In other bases
ternary (3) 20010222
quaternary (4) 1012001
quinary (5) 120411
senary (6) 32425
septenary (7) 16031
nonary (9) 6128
undecimal (11) 3404
duodecimal (12) 2715
tridecimal (13) 2069
tetradecimal (14) 18c1
pentadecimal (15) 14db
Palindromic in base 8

As an angle

4,481° = 12 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵δυπαʹ
Mayan (base 20)
𝋫·𝋤·𝋡
Chinese
四千四百八十一
Chinese (financial)
肆仟肆佰捌拾壹
In other modern scripts
Eastern Arabic ٤٤٨١ Devanagari ४४८१ Bengali ৪৪৮১ Tamil ௪௪௮௧ Thai ๔๔๘๑ Tibetan ༤༤༨༡ Khmer ៤៤៨១ Lao ໔໔໘໑ Burmese ၄၄၈၁

Digit at this position in famous constants

π — Pi (π)
Digit 4,481 = 0
e — Euler's number (e)
Digit 4,481 = 7
φ — Golden ratio (φ)
Digit 4,481 = 1
√2 — Pythagoras's (√2)
Digit 4,481 = 3
ln 2 — Natural log of 2
Digit 4,481 = 3
γ — Euler-Mascheroni (γ)
Digit 4,481 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,463 (gap of 18)
  • Next prime: 4,483 (gap of 2)

Pair status: twin with 4483.

Unicode codepoint
Hangul Jungseong O-Ye
U+1181
Other letter (Lo)

UTF-8 encoding: E1 86 81 (3 bytes).

Hex color
#001181
RGB(0, 17, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.17.129.

Address
0.0.17.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.17.129

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

Musical pitch

Heard as a frequency, 4,481 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C♯8 (4434.9 Hz, +18¢)
  • Scientific pitch (C4 = 256 Hz): D8 (4597.6 Hz, -44¢)
  • Baroque pitch (A4 = 415 Hz): D8 (4431.7 Hz, +19¢)
Position in π

The digit sequence 4481 first appears in π at position 40,589 of the decimal expansion (the 40,589ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.