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Number

4,093

4,093 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
3,904
Recamán's sequence
a(14,205) = 4,093
Square (n²)
16,752,649
Cube (n³)
68,568,592,357
Divisor count
2
σ(n) — sum of divisors
4,094
φ(n) — Euler's totient
4,092

Primality

4,093 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4093
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,093)
1 × 4093
First multiples
4,093 · 8,186 (double) · 12,279 · 16,372 · 20,465 · 24,558 · 28,651 · 32,744 · 36,837 · 40,930

Sums & aliquot sequence

As a sum of two squares: 27² + 58²
As consecutive integers: 2,046 + 2,047

Representations

In words
four thousand ninety-three
Ordinal
4093rd
Binary
111111111101
Octal
7775
Hexadecimal
0xFFD
Base64
D/0=
One's complement
61,442 (16-bit)
In other bases
ternary (3) 12121121
quaternary (4) 333331
quinary (5) 112333
senary (6) 30541
septenary (7) 14635
nonary (9) 5547
undecimal (11) 3091
duodecimal (12) 2451
tridecimal (13) 1b2b
tetradecimal (14) 16c5
pentadecimal (15) 132d

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵δϟγʹ
Mayan (base 20)
𝋪·𝋤·𝋭
Chinese
四千零九十三
Chinese (financial)
肆仟零玖拾參
In other modern scripts
Eastern Arabic ٤٠٩٣ Devanagari ४०९३ Bengali ৪০৯৩ Tamil ௪௦௯௩ Thai ๔๐๙๓ Tibetan ༤༠༩༣ Khmer ៤០៩៣ Lao ໔໐໙໓ Burmese ၄၀၉၃

Digit at this position in famous constants

π — Pi (π)
Digit 4,093 = 6
e — Euler's number (e)
Digit 4,093 = 7
φ — Golden ratio (φ)
Digit 4,093 = 8
√2 — Pythagoras's (√2)
Digit 4,093 = 2
ln 2 — Natural log of 2
Digit 4,093 = 1
γ — Euler-Mascheroni (γ)
Digit 4,093 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,091 (gap of 2)
  • Next prime: 4,099 (gap of 6)

Pair status: twin with 4091, sexy with 4099.

Hex color
#000FFD
RGB(0, 15, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.253.

Address
0.0.15.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.253

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000004093
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 4093 first appears in π at position 9,892 of the decimal expansion (the 9,892ordinal-suffix:nd 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.