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Number

5,503

5,503 is a prime, odd.

5,503 (five thousand five hundred three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x157F.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
3,055
Recamán's sequence
a(2,750) = 5,503
Square (n²)
30,283,009
Cube (n³)
166,647,398,527
Divisor count
2
σ(n) — sum of divisors
5,504
φ(n) — Euler's totient
5,502

Primality

5,503 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5503
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,503)
1 × 5503
First multiples
5,503 · 11,006 (double) · 16,509 · 22,012 · 27,515 · 33,018 · 38,521 · 44,024 · 49,527 · 55,030

Sums & aliquot sequence

As consecutive integers: 2,751 + 2,752

Continued fraction of √n

√5,503 = [74; (5, 2, 20, 1, 2, 1, 5, 1, 2, 2, 1, 2, 10, 4, 2, 1, 1, 73, 1, 1, 2, 4, 10, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
five thousand five hundred three
Ordinal
5503rd
Binary
1010101111111
Octal
12577
Hexadecimal
0x157F
Base64
FX8=
One's complement
60,032 (16-bit)
Scientific notation
5.503 × 10³
As a duration
5,503 s = 1 hour, 31 minutes, 43 seconds
In other bases
ternary (3) 21112211
quaternary (4) 1111333
quinary (5) 134003
senary (6) 41251
septenary (7) 22021
nonary (9) 7484
undecimal (11) 4153
duodecimal (12) 3227
tridecimal (13) 2674
tetradecimal (14) 2011
pentadecimal (15) 196d

As an angle

5,503° = 15 × 360° + 103°
103° ≈ 1.798 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺
Greek (Milesian)
͵εφγʹ
Mayan (base 20)
𝋭·𝋯·𝋣
Chinese
五千五百零三
Chinese (financial)
伍仟伍佰零參
In other modern scripts
Eastern Arabic ٥٥٠٣ Devanagari ५५०३ Bengali ৫৫০৩ Tamil ௫௫௦௩ Thai ๕๕๐๓ Tibetan ༥༥༠༣ Khmer ៥៥០៣ Lao ໕໕໐໓ Burmese ၅၅၀၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,503 = 4
e — Euler's number (e)
Digit 5,503 = 9
φ — Golden ratio (φ)
Digit 5,503 = 9
√2 — Pythagoras's (√2)
Digit 5,503 = 9
ln 2 — Natural log of 2
Digit 5,503 = 4
γ — Euler-Mascheroni (γ)
Digit 5,503 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,501 (gap of 2)
  • Next prime: 5,507 (gap of 4)

Pair status: twin with 5501, cousin with 5507.

Unicode codepoint
Canadian Syllabics Qi
U+157F
Other letter (Lo)

UTF-8 encoding: E1 95 BF (3 bytes).

Hex color
#00157F
RGB(0, 21, 127)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.21.127.

Address
0.0.21.127
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.21.127

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

Musical pitch

Heard as a frequency, 5,503 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F8 (5587.7 Hz, -26¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): F♯8 (5583.6 Hz, -25¢)
Position in π

The digit sequence 5503 first appears in π at position 6,878 of the decimal expansion (the 6,878ordinal-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.