Live analysis

10,040

10,040 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.).

10,040 (ten thousand forty) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 251. Its proper divisors sum to 12,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2738.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

10,028 10,029 10,030 10,031 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

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 4,001
Recamán's sequence: a(4,867) = 10,040
Square (n²): 100,801,600
Cube (n³): 1,012,048,064,000
Divisor count: 16
σ(n) — sum of divisors: 22,680
φ(n) — Euler's totient: 4,000
Sum of prime factors: 262

Primality

Prime factorization: 2 ³ × 5 × 251

Nearest primes: 10,039 (−1) · 10,061 (+21)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 251 · 502 · 1004 · 1255 · 2008 · 2510 · 5020 (half) · 10040

Aliquot sum (sum of proper divisors): 12,640

Factor pairs (a × b = 10,040)

1 × 10040

2 × 5020

4 × 2510

5 × 2008

8 × 1255

10 × 1004

20 × 502

40 × 251

First multiples

10,040 · 20,080 (double) · 30,120 · 40,160 · 50,200 · 60,240 · 70,280 · 80,320 · 90,360 · 100,400

Sums & aliquot sequence

As consecutive integers: 2,006 + 2,007 + 2,008 + 2,009 + 2,010 620 + 621 + … + 635 86 + 87 + … + 165

Aliquot sequence: 10,040 → 12,640 → 17,600 → 29,644 → 22,240 → 30,680 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 → 323,000 → 519,400 → 911,870 → 755,218 → 420,632 → 368,068 — unresolved within range

Continued fraction of √n

√10,040 = [100; (5, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand forty
Ordinal: 10040th
Binary: 10011100111000
Octal: 23470
Hexadecimal: 0x2738
Base64: Jzg=
One's complement: 55,495 (16-bit)
Scientific notation: 1.004 × 10⁴
As a duration: 10,040 s = 2 hours, 47 minutes, 20 seconds

In other bases

ternary (3) 111202212

quaternary (4) 2130320

quinary (5) 310130

senary (6) 114252

septenary (7) 41162

nonary (9) 14685

undecimal (11) 75a8

duodecimal (12) 5988

tridecimal (13) 4754

tetradecimal (14) 3932

pentadecimal (15) 2e95

As an angle

10,040° = 27 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ιμʹ
Mayan (base 20): 𝋡·𝋥·𝋢·𝋠
Chinese: 一萬零四十
Chinese (financial): 壹萬零肆拾

In other modern scripts

Eastern Arabic ١٠٠٤٠ Devanagari १००४० Bengali ১০০৪০ Tamil ௧௦௦௪௦ Thai ๑๐๐๔๐ Tibetan ༡༠༠༤༠ Khmer ១០០៤០ Lao ໑໐໐໔໐ Burmese ၁၀၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 10,040 = 4
e — Euler's number (e): Digit 10,040 = 8
φ — Golden ratio (φ): Digit 10,040 = 1
√2 — Pythagoras's (√2): Digit 10,040 = 9
ln 2 — Natural log of 2: Digit 10,040 = 7
γ — Euler-Mascheroni (γ): Digit 10,040 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10040, here are decompositions:

3 + 10037 = 10040
31 + 10009 = 10040
67 + 9973 = 10040
73 + 9967 = 10040
109 + 9931 = 10040
139 + 9901 = 10040
157 + 9883 = 10040
181 + 9859 = 10040

Showing the first eight; more decompositions exist.

Unicode codepoint

✸

Heavy Eight Pointed Rectilinear Black Star

U+2738

Other symbol (So)

UTF-8 encoding: E2 9C B8 (3 bytes).

Lookup U+2738 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002738

RGB(0, 39, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.56.

Address: 0.0.39.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.56

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

Musical pitch

Heard as a frequency, 10,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, -48¢ — about midway to D♯9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +16¢)

Position in π

The digit sequence 10040 first appears in π at position 637,284 of the decimal expansion (the 637,284ordinal-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 10040 on Pi Search ↗