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Number

4,073

4,073 is a prime, odd.

4,073 (four thousand seventy-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111111101001.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
12 bits
Reversed
3,704
Recamán's sequence
a(14,245) = 4,073
Square (n²)
16,589,329
Cube (n³)
67,568,337,017
Divisor count
2
σ(n) — sum of divisors
4,074
φ(n) — Euler's totient
4,072

Primality

4,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4073
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,073)
1 × 4073
First multiples
4,073 · 8,146 (double) · 12,219 · 16,292 · 20,365 · 24,438 · 28,511 · 32,584 · 36,657 · 40,730

Sums & aliquot sequence

As a sum of two squares: 37² + 52²
As consecutive integers: 2,036 + 2,037

Continued fraction of √n

√4,073 = [63; (1, 4, 1, 1, 3, 1, 5, 1, 15, 9, 1, 3, 11, 2, 1, 7, 3, 3, 7, 1, 2, 11, 3, 1, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
four thousand seventy-three
Ordinal
4073rd
Binary
111111101001
Octal
7751
Hexadecimal
0xFE9
Base64
D+k=
One's complement
61,462 (16-bit)
Scientific notation
4.073 × 10³
As a duration
4,073 s = 1 hour, 7 minutes, 53 seconds
In other bases
ternary (3) 12120212
quaternary (4) 333221
quinary (5) 112243
senary (6) 30505
septenary (7) 14606
nonary (9) 5525
undecimal (11) 3073
duodecimal (12) 2435
tridecimal (13) 1b14
tetradecimal (14) 16ad
pentadecimal (15) 1318

As an angle

4,073° = 11 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δογʹ
Mayan (base 20)
𝋪·𝋣·𝋭
Chinese
四千零七十三
Chinese (financial)
肆仟零柒拾參
In other modern scripts
Eastern Arabic ٤٠٧٣ Devanagari ४०७३ Bengali ৪০৭৩ Tamil ௪௦௭௩ Thai ๔๐๗๓ Tibetan ༤༠༧༣ Khmer ៤០៧៣ Lao ໔໐໗໓ Burmese ၄၀၇၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,073 = 5
e — Euler's number (e)
Digit 4,073 = 0
φ — Golden ratio (φ)
Digit 4,073 = 6
√2 — Pythagoras's (√2)
Digit 4,073 = 4
ln 2 — Natural log of 2
Digit 4,073 = 5
γ — Euler-Mascheroni (γ)
Digit 4,073 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,057 (gap of 16)
  • Next prime: 4,079 (gap of 6)

Pair status: sexy with 4079.

Hex color
#000FE9
RGB(0, 15, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.233.

Address
0.0.15.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.233

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

Musical pitch

Heard as a frequency, 4,073 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -47¢ — about midway to B7)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -10¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -46¢ — about midway to C8)
Position in π

The digit sequence 4073 first appears in π at position 15,181 of the decimal expansion (the 15,181ordinal-suffix:st 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.