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4,052

4,052 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

4,052 (four thousand fifty-two) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 1,013. Written other ways, in binary, 111111010100.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
2,504
Recamán's sequence
a(14,287) = 4,052
Square (n²)
16,418,704
Cube (n³)
66,528,588,608
Divisor count
6
σ(n) — sum of divisors
7,098
φ(n) — Euler's totient
2,024
Sum of prime factors
1,017

Primality

Prime factorization: 2 2 × 1013

Nearest primes: 4,051 (−1) · 4,057 (+5)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 1013 · 2026 (half) · 4052
Aliquot sum (sum of proper divisors): 3,046
Factor pairs (a × b = 4,052)
1 × 4052
2 × 2026
4 × 1013
First multiples
4,052 · 8,104 (double) · 12,156 · 16,208 · 20,260 · 24,312 · 28,364 · 32,416 · 36,468 · 40,520

Sums & aliquot sequence

As a sum of two squares: 44² + 46²
As consecutive integers: 503 + 504 + … + 510
Aliquot sequence: 4,052 3,046 1,526 1,114 560 928 962 634 320 442 314 160 218 112 136 134 70 — unresolved within range

Continued fraction of √n

√4,052 = [63; (1, 1, 1, 9, 7, 1, 5, 1, 4, 1, 2, 7, 1, 1, 1, 1, 10, 1, 30, 1, 10, 1, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
four thousand fifty-two
Ordinal
4052nd
Binary
111111010100
Octal
7724
Hexadecimal
0xFD4
Base64
D9Q=
One's complement
61,483 (16-bit)
Scientific notation
4.052 × 10³
As a duration
4,052 s = 1 hour, 7 minutes, 32 seconds
In other bases
ternary (3) 12120002
quaternary (4) 333110
quinary (5) 112202
senary (6) 30432
septenary (7) 14546
nonary (9) 5502
undecimal (11) 3054
duodecimal (12) 2418
tridecimal (13) 1ac9
tetradecimal (14) 1696
pentadecimal (15) 1302

As an angle

4,052° = 11 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵δνβʹ
Mayan (base 20)
𝋪·𝋢·𝋬
Chinese
四千零五十二
Chinese (financial)
肆仟零伍拾貳
In other modern scripts
Eastern Arabic ٤٠٥٢ Devanagari ४०५२ Bengali ৪০৫২ Tamil ௪௦௫௨ Thai ๔๐๕๒ Tibetan ༤༠༥༢ Khmer ៤០៥២ Lao ໔໐໕໒ Burmese ၄၀၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 4,052 = 4
e — Euler's number (e)
Digit 4,052 = 2
φ — Golden ratio (φ)
Digit 4,052 = 3
√2 — Pythagoras's (√2)
Digit 4,052 = 5
ln 2 — Natural log of 2
Digit 4,052 = 6
γ — Euler-Mascheroni (γ)
Digit 4,052 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4052, here are decompositions:

  • 3 + 4049 = 4052
  • 31 + 4021 = 4052
  • 109 + 3943 = 4052
  • 163 + 3889 = 4052
  • 199 + 3853 = 4052
  • 229 + 3823 = 4052
  • 283 + 3769 = 4052
  • 313 + 3739 = 4052

Showing the first eight; more decompositions exist.

Unicode codepoint
Tibetan Mark Closing Brda Rnying Yig Mgo Sgab Ma
U+0FD4
Other punctuation (Po)

UTF-8 encoding: E0 BF 94 (3 bytes).

Hex color
#000FD4
RGB(0, 15, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.212.

Address
0.0.15.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.15.212

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

Musical pitch

Heard as a frequency, 4,052 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): B7 (3951.1 Hz, +44¢)
  • Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -19¢)
  • Baroque pitch (A4 = 415 Hz): C8 (3948.2 Hz, +45¢ — about midway to C♯8)
Position in π

The digit sequence 4052 first appears in π at position 3,231 of the decimal expansion (the 3,231ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.