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Number

5,077

5,077 is a prime, odd.

5,077 (five thousand seventy-seven) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x13D5.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
7,705
Recamán's sequence
a(28,058) = 5,077
Square (n²)
25,775,929
Cube (n³)
130,864,391,533
Divisor count
2
σ(n) — sum of divisors
5,078
φ(n) — Euler's totient
5,076

Primality

5,077 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5077
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,077)
1 × 5077
First multiples
5,077 · 10,154 (double) · 15,231 · 20,308 · 25,385 · 30,462 · 35,539 · 40,616 · 45,693 · 50,770

Sums & aliquot sequence

As a sum of two squares: 6² + 71²
As consecutive integers: 2,538 + 2,539

Continued fraction of √n

√5,077 = [71; (3, 1, 19, 1, 1, 1, 1, 4, 1, 2, 11, 1, 1, 11, 2, 1, 4, 1, 1, 1, 1, 19, 1, 3, …)]

Period length 25 — the block in parentheses repeats forever.

Representations

In words
five thousand seventy-seven
Ordinal
5077th
Binary
1001111010101
Octal
11725
Hexadecimal
0x13D5
Base64
E9U=
One's complement
60,458 (16-bit)
Scientific notation
5.077 × 10³
As a duration
5,077 s = 1 hour, 24 minutes, 37 seconds
In other bases
ternary (3) 20222001
quaternary (4) 1033111
quinary (5) 130302
senary (6) 35301
septenary (7) 20542
nonary (9) 6861
undecimal (11) 38a6
duodecimal (12) 2b31
tridecimal (13) 2407
tetradecimal (14) 1bc9
pentadecimal (15) 1787

As an angle

5,077° = 14 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εοζʹ
Mayan (base 20)
𝋬·𝋭·𝋱
Chinese
五千零七十七
Chinese (financial)
伍仟零柒拾柒
In other modern scripts
Eastern Arabic ٥٠٧٧ Devanagari ५०७७ Bengali ৫০৭৭ Tamil ௫௦௭௭ Thai ๕๐๗๗ Tibetan ༥༠༧༧ Khmer ៥០៧៧ Lao ໕໐໗໗ Burmese ၅၀၇၇

Digit at this position in famous constants

π — Pi (π)
Digit 5,077 = 7
e — Euler's number (e)
Digit 5,077 = 3
φ — Golden ratio (φ)
Digit 5,077 = 7
√2 — Pythagoras's (√2)
Digit 5,077 = 0
ln 2 — Natural log of 2
Digit 5,077 = 7
γ — Euler-Mascheroni (γ)
Digit 5,077 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,059 (gap of 18)
  • Next prime: 5,081 (gap of 4)

Pair status: cousin with 5081.

Unicode codepoint
Cherokee Letter De
U+13D5
Uppercase letter (Lu)

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

Hex color
#0013D5
RGB(0, 19, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.213.

Address
0.0.19.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.213

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

Musical pitch

Heard as a frequency, 5,077 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +34¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -28¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +35¢)
Position in π

The digit sequence 5077 first appears in π at position 5,448 of the decimal expansion (the 5,448ordinal-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.