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10,048

10,048 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.).
Deficient Number Odious Number Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
14 bits
Reversed
84,001
Recamán's sequence
a(4,883) = 10,048
Square (n²)
100,962,304
Cube (n³)
1,014,469,230,592
Divisor count
14
σ(n) — sum of divisors
20,066
φ(n) — Euler's totient
4,992
Sum of prime factors
169

Primality

Prime factorization: 2 6 × 157

Nearest primes: 10,039 (−9) · 10,061 (+13)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 157 · 314 · 628 · 1256 · 2512 · 5024 (half) · 10048
Aliquot sum (sum of proper divisors): 10,018
Factor pairs (a × b = 10,048)
1 × 10048
2 × 5024
4 × 2512
8 × 1256
16 × 628
32 × 314
64 × 157
First multiples
10,048 · 20,096 (double) · 30,144 · 40,192 · 50,240 · 60,288 · 70,336 · 80,384 · 90,432 · 100,480

Sums & aliquot sequence

As a sum of two squares: 48² + 88²
As consecutive integers: 15 + 16 + … + 142
Aliquot sequence: 10,048 10,018 5,012 5,068 5,124 8,764 8,820 22,302 35,298 44,730 90,054 105,102 122,658 122,670 214,290 343,098 523,872 — unresolved within range

Representations

In words
ten thousand forty-eight
Ordinal
10048th
Binary
10011101000000
Octal
23500
Hexadecimal
0x2740
Base64
J0A=
One's complement
55,487 (16-bit)
In other bases
ternary (3) 111210011
quaternary (4) 2131000
quinary (5) 310143
senary (6) 114304
septenary (7) 41203
nonary (9) 14704
undecimal (11) 7605
duodecimal (12) 5994
tridecimal (13) 475c
tetradecimal (14) 393a
pentadecimal (15) 2e9d

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιμηʹ
Mayan (base 20)
𝋡·𝋥·𝋢·𝋨
Chinese
一萬零四十八
Chinese (financial)
壹萬零肆拾捌
In other modern scripts
Eastern Arabic ١٠٠٤٨ Devanagari १००४८ Bengali ১০০৪৮ Tamil ௧௦௦௪௮ Thai ๑๐๐๔๘ Tibetan ༡༠༠༤༨ Khmer ១០០៤៨ Lao ໑໐໐໔໘ Burmese ၁၀၀၄၈

Digit at this position in famous constants

π — Pi (π)
Digit 10,048 = 6
e — Euler's number (e)
Digit 10,048 = 3
φ — Golden ratio (φ)
Digit 10,048 = 2
√2 — Pythagoras's (√2)
Digit 10,048 = 3
ln 2 — Natural log of 2
Digit 10,048 = 9
γ — Euler-Mascheroni (γ)
Digit 10,048 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10048, here are decompositions:

  • 11 + 10037 = 10048
  • 41 + 10007 = 10048
  • 107 + 9941 = 10048
  • 191 + 9857 = 10048
  • 197 + 9851 = 10048
  • 257 + 9791 = 10048
  • 281 + 9767 = 10048
  • 359 + 9689 = 10048

Showing the first eight; more decompositions exist.

Unicode codepoint
White Florette
U+2740
Other symbol (So)

UTF-8 encoding: E2 9D 80 (3 bytes).

Hex color
#002740
RGB(0, 39, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.64.

Address
0.0.39.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.64

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

Position in π

The digit sequence 10048 first appears in π at position 38,002 of the decimal expansion (the 38,002ordinal-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.