Live analysis

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.).

10,048 (ten thousand forty-eight) is an even 5-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 157. Written other ways, in hexadecimal, 0x2740.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

10,036 10,037 10,038 10,039 10,040 10,041 10,042 10,043 10,044 10,045 10,046 10,047 10,048 10,049 10,050 10,051 10,052 10,053 10,054 10,055 10,056 10,057 10,058 10,059 10,060

less more

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

Continued fraction of √n

√10,048 = [100; (4, 5, 1, 4, 1, 2, 1, 2, 4, 1, 3, 2, 4, 1, 2, 3, 6, 5, 1, 10, 1, 21, 2, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: ten thousand forty-eight
Ordinal: 10048th
Binary: 10011101000000
Octal: 23500
Hexadecimal: 0x2740
Base64: J0A=
One's complement: 55,487 (16-bit)
Scientific notation: 1.0048 × 10⁴
As a duration: 10,048 s = 2 hours, 47 minutes, 28 seconds

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

As an angle

10,048° = 27 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

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).

Lookup U+2740 on Compart ↗ Lookup on FileFormat.Info ↗

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.

Musical pitch

Heard as a frequency, 10,048 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +16¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -46¢ — about midway to D♯9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +17¢)

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.

Look up 10048 on Pi Search ↗