Live analysis

10,044

10,044 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.).

10,044 (ten thousand forty-four) is an even 5-digit number. It is a composite number with 30 divisors, and factors as 2² × 3⁴ × 31. Its proper divisors sum to 17,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x273C.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

10,032 10,033 10,034 10,035 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

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 44,001
Recamán's sequence: a(4,875) = 10,044
Square (n²): 100,881,936
Cube (n³): 1,013,258,165,184
Divisor count: 30
σ(n) — sum of divisors: 27,104
φ(n) — Euler's totient: 3,240
Sum of prime factors: 47

Primality

Prime factorization: 2 ² × 3 ⁴ × 31

Nearest primes: 10,039 (−5) · 10,061 (+17)

Divisors & multiples

All divisors (30)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 31 · 36 · 54 · 62 · 81 · 93 · 108 · 124 · 162 · 186 · 279 · 324 · 372 · 558 · 837 · 1116 · 1674 · 2511 · 3348 · 5022 (half) · 10044

Aliquot sum (sum of proper divisors): 17,060

Factor pairs (a × b = 10,044)

1 × 10044

2 × 5022

3 × 3348

4 × 2511

6 × 1674

9 × 1116

12 × 837

18 × 558

27 × 372

31 × 324

36 × 279

54 × 186

62 × 162

81 × 124

93 × 108

First multiples

10,044 · 20,088 (double) · 30,132 · 40,176 · 50,220 · 60,264 · 70,308 · 80,352 · 90,396 · 100,440

Sums & aliquot sequence

As consecutive integers: 3,347 + 3,348 + 3,349 1,252 + 1,253 + … + 1,259 1,112 + 1,113 + … + 1,120 407 + 408 + … + 430

Aliquot sequence: 10,044 → 17,060 → 18,808 → 16,472 → 15,928 → 16,832 → 16,696 → 14,624 → 14,230 → 11,402 → 5,704 → 5,816 → 5,104 → 6,056 → 5,314 → 2,660 → 4,060 — unresolved within range

Continued fraction of √n

√10,044 = [100; (4, 1, 1, 4, 2, 5, 8, 1, 1, 7, 2, 21, 1, 4, 18, 50, 18, 4, 1, 21, 2, 7, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: ten thousand forty-four
Ordinal: 10044th
Binary: 10011100111100
Octal: 23474
Hexadecimal: 0x273C
Base64: Jzw=
One's complement: 55,491 (16-bit)
Scientific notation: 1.0044 × 10⁴
As a duration: 10,044 s = 2 hours, 47 minutes, 24 seconds

In other bases

ternary (3) 111210000

quaternary (4) 2130330

quinary (5) 310134

senary (6) 114300

septenary (7) 41166

nonary (9) 14700

undecimal (11) 7601

duodecimal (12) 5990

tridecimal (13) 4758

tetradecimal (14) 3936

pentadecimal (15) 2e99

As an angle

10,044° = 27 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιμδʹ
Mayan (base 20): 𝋡·𝋥·𝋢·𝋤
Chinese: 一萬零四十四
Chinese (financial): 壹萬零肆拾肆

In other modern scripts

Eastern Arabic ١٠٠٤٤ Devanagari १००४४ Bengali ১০০৪৪ Tamil ௧௦௦௪௪ Thai ๑๐๐๔๔ Tibetan ༡༠༠༤༤ Khmer ១០០៤៤ Lao ໑໐໐໔໔ Burmese ၁၀၀၄၄

Digit at this position in famous constants

π — Pi (π): Digit 10,044 = 5
e — Euler's number (e): Digit 10,044 = 4
φ — Golden ratio (φ): Digit 10,044 = 3
√2 — Pythagoras's (√2): Digit 10,044 = 5
ln 2 — Natural log of 2: Digit 10,044 = 4
γ — Euler-Mascheroni (γ): Digit 10,044 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10044, here are decompositions:

5 + 10039 = 10044
7 + 10037 = 10044
37 + 10007 = 10044
71 + 9973 = 10044
103 + 9941 = 10044
113 + 9931 = 10044
137 + 9907 = 10044
157 + 9887 = 10044

Showing the first eight; more decompositions exist.

Unicode codepoint

✼

Open Centre Teardrop-Spoked Asterisk

U+273C

Other symbol (So)

UTF-8 encoding: E2 9C BC (3 bytes).

Lookup U+273C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00273C

RGB(0, 39, 60)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.60.

Address: 0.0.39.60
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.60

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

Musical pitch

Heard as a frequency, 10,044 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -47¢ — about midway to D♯9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +16¢)

Position in π

The digit sequence 10044 first appears in π at position 3,848 of the decimal expansion (the 3,848ordinal-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.

Look up 10044 on Pi Search ↗