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Number

4,079

4,079 is a prime, odd.

4,079 (four thousand seventy-nine) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in binary, 111111101111.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Safe Prime Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
9,704
Recamán's sequence
a(14,233) = 4,079
Square (n²)
16,638,241
Cube (n³)
67,867,385,039
Divisor count
2
σ(n) — sum of divisors
4,080
φ(n) — Euler's totient
4,078

Primality

4,079 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4079
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,079)
1 × 4079
First multiples
4,079 · 8,158 (double) · 12,237 · 16,316 · 20,395 · 24,474 · 28,553 · 32,632 · 36,711 · 40,790

Sums & aliquot sequence

As consecutive integers: 2,039 + 2,040

Continued fraction of √n

√4,079 = [63; (1, 6, 1, 1, 11, 12, 1, 2, 5, 4, 1, 2, 1, 1, 1, 4, 2, 9, 2, 1, 2, 25, 5, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
four thousand seventy-nine
Ordinal
4079th
Binary
111111101111
Octal
7757
Hexadecimal
0xFEF
Base64
D+8=
One's complement
61,456 (16-bit)
Scientific notation
4.079 × 10³
As a duration
4,079 s = 1 hour, 7 minutes, 59 seconds
In other bases
ternary (3) 12121002
quaternary (4) 333233
quinary (5) 112304
senary (6) 30515
septenary (7) 14615
nonary (9) 5532
undecimal (11) 3079
duodecimal (12) 243b
tridecimal (13) 1b1a
tetradecimal (14) 16b5
pentadecimal (15) 131e
Palindromic in base 16

As an angle

4,079° = 11 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δοθʹ
Mayan (base 20)
𝋪·𝋣·𝋳
Chinese
四千零七十九
Chinese (financial)
肆仟零柒拾玖
In other modern scripts
Eastern Arabic ٤٠٧٩ Devanagari ४०७९ Bengali ৪০৭৯ Tamil ௪௦௭௯ Thai ๔๐๗๙ Tibetan ༤༠༧༩ Khmer ៤០៧៩ Lao ໔໐໗໙ Burmese ၄၀၇၉

Digit at this position in famous constants

π — Pi (π)
Digit 4,079 = 7
e — Euler's number (e)
Digit 4,079 = 8
φ — Golden ratio (φ)
Digit 4,079 = 8
√2 — Pythagoras's (√2)
Digit 4,079 = 0
ln 2 — Natural log of 2
Digit 4,079 = 5
γ — Euler-Mascheroni (γ)
Digit 4,079 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,073 (gap of 6)
  • Next prime: 4,091 (gap of 12)

Pair status: sexy with 4073.

Hex color
#000FEF
RGB(0, 15, 239)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.239.

Address
0.0.15.239
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.239

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

Musical pitch

Heard as a frequency, 4,079 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -45¢ — about midway to B7)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -7¢)
  • Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -44¢)
Position in π

The digit sequence 4079 first appears in π at position 6,103 of the decimal expansion (the 6,103ordinal-suffix:rd 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.