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Number

4,057

4,057 is a prime, odd.

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

Properties

Parity
Odd
Digit count
4
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
7,504
Recamán's sequence
a(14,277) = 4,057
Square (n²)
16,459,249
Cube (n³)
66,775,173,193
Divisor count
2
σ(n) — sum of divisors
4,058
φ(n) — Euler's totient
4,056

Primality

4,057 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 4057
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 4,057)
1 × 4057
First multiples
4,057 · 8,114 (double) · 12,171 · 16,228 · 20,285 · 24,342 · 28,399 · 32,456 · 36,513 · 40,570

Sums & aliquot sequence

As a sum of two squares: 24² + 59²
As consecutive integers: 2,028 + 2,029

Representations

In words
four thousand fifty-seven
Ordinal
4057th
Binary
111111011001
Octal
7731
Hexadecimal
0xFD9
Base64
D9k=
One's complement
61,478 (16-bit)
In other bases
ternary (3) 12120021
quaternary (4) 333121
quinary (5) 112212
senary (6) 30441
septenary (7) 14554
nonary (9) 5507
undecimal (11) 3059
duodecimal (12) 2421
tridecimal (13) 1b01
tetradecimal (14) 169b
pentadecimal (15) 1307

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵δνζʹ
Mayan (base 20)
𝋪·𝋢·𝋱
Chinese
四千零五十七
Chinese (financial)
肆仟零伍拾柒
In other modern scripts
Eastern Arabic ٤٠٥٧ Devanagari ४०५७ Bengali ৪০৫৭ Tamil ௪௦௫௭ Thai ๔๐๕๗ Tibetan ༤༠༥༧ Khmer ៤០៥៧ Lao ໔໐໕໗ Burmese ၄၀၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 4,057 = 1
e — Euler's number (e)
Digit 4,057 = 8
φ — Golden ratio (φ)
Digit 4,057 = 3
√2 — Pythagoras's (√2)
Digit 4,057 = 7
ln 2 — Natural log of 2
Digit 4,057 = 3
γ — Euler-Mascheroni (γ)
Digit 4,057 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 4,051 (gap of 6)
  • Next prime: 4,073 (gap of 16)

Pair status: sexy with 4051.

Unicode codepoint
Tibetan Mark Leading Mchan Rtags
U+0FD9
Other punctuation (Po)

UTF-8 encoding: E0 BF 99 (3 bytes).

Hex color
#000FD9
RGB(0, 15, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.217.

Address
0.0.15.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.217

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

Position in π

The digit sequence 4057 first appears in π at position 65,905 of the decimal expansion (the 65,905ordinal-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.