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5,152

5,152 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.).

5,152 (five thousand one hundred fifty-two) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 23. Its proper divisors sum to 6,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1420.

Abundant Number Arithmetic Number Lazy Caterer Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
50
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
2,515
Recamán's sequence
a(4,908) = 5,152
Square (n²)
26,543,104
Cube (n³)
136,750,071,808
Divisor count
24
σ(n) — sum of divisors
12,096
φ(n) — Euler's totient
2,112
Sum of prime factors
40

Primality

Prime factorization: 2 5 × 7 × 23

Nearest primes: 5,147 (−5) · 5,153 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 23 · 28 · 32 · 46 · 56 · 92 · 112 · 161 · 184 · 224 · 322 · 368 · 644 · 736 · 1288 · 2576 (half) · 5152
Aliquot sum (sum of proper divisors): 6,944
Factor pairs (a × b = 5,152)
1 × 5152
2 × 2576
4 × 1288
7 × 736
8 × 644
14 × 368
16 × 322
23 × 224
28 × 184
32 × 161
46 × 112
56 × 92
First multiples
5,152 · 10,304 (double) · 15,456 · 20,608 · 25,760 · 30,912 · 36,064 · 41,216 · 46,368 · 51,520

Sums & aliquot sequence

As consecutive integers: 733 + 734 + … + 739 213 + 214 + … + 235 49 + 50 + … + 112
Aliquot sequence: 5,152 6,944 9,184 11,984 14,800 21,718 10,862 5,434 4,646 2,698 1,622 814 554 280 440 640 890 — unresolved within range

Continued fraction of √n

√5,152 = [71; (1, 3, 2, 35, 2, 3, 1, 142)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
five thousand one hundred fifty-two
Ordinal
5152nd
Binary
1010000100000
Octal
12040
Hexadecimal
0x1420
Base64
FCA=
One's complement
60,383 (16-bit)
Scientific notation
5.152 × 10³
As a duration
5,152 s = 1 hour, 25 minutes, 52 seconds
In other bases
ternary (3) 21001211
quaternary (4) 1100200
quinary (5) 131102
senary (6) 35504
septenary (7) 21010
nonary (9) 7054
undecimal (11) 3964
duodecimal (12) 2b94
tridecimal (13) 2464
tetradecimal (14) 1c40
pentadecimal (15) 17d7

As an angle

5,152° = 14 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ερνβʹ
Mayan (base 20)
𝋬·𝋱·𝋬
Chinese
五千一百五十二
Chinese (financial)
伍仟壹佰伍拾貳
In other modern scripts
Eastern Arabic ٥١٥٢ Devanagari ५१५२ Bengali ৫১৫২ Tamil ௫௧௫௨ Thai ๕๑๕๒ Tibetan ༥༡༥༢ Khmer ៥១៥២ Lao ໕໑໕໒ Burmese ၅၁၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 5,152 = 2
e — Euler's number (e)
Digit 5,152 = 0
φ — Golden ratio (φ)
Digit 5,152 = 0
√2 — Pythagoras's (√2)
Digit 5,152 = 1
ln 2 — Natural log of 2
Digit 5,152 = 8
γ — Euler-Mascheroni (γ)
Digit 5,152 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5152, here are decompositions:

  • 5 + 5147 = 5152
  • 53 + 5099 = 5152
  • 71 + 5081 = 5152
  • 101 + 5051 = 5152
  • 113 + 5039 = 5152
  • 131 + 5021 = 5152
  • 149 + 5003 = 5152
  • 179 + 4973 = 5152

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics Final Grave
U+1420
Other letter (Lo)

UTF-8 encoding: E1 90 A0 (3 bytes).

Hex color
#001420
RGB(0, 20, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.32.

Address
0.0.20.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.32

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

Musical pitch

Heard as a frequency, 5,152 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -41¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -3¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -39¢)
Position in π

The digit sequence 5152 first appears in π at position 2,687 of the decimal expansion (the 2,687ordinal-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