Live analysis

8,040

8,040 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.).

8,040 (eight thousand forty) is an even 4-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 5 × 67. Its proper divisors sum to 16,440, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F68.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

8,028 8,029 8,030 8,031 8,032 8,033 8,034 8,035 8,036 8,037 8,038 8,039 8,040 8,041 8,042 8,043 8,044 8,045 8,046 8,047 8,048 8,049 8,050 8,051 8,052

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 13 bits
Reversed: 408
Recamán's sequence: a(25,516) = 8,040
Square (n²): 64,641,600
Cube (n³): 519,718,464,000
Divisor count: 32
σ(n) — sum of divisors: 24,480
φ(n) — Euler's totient: 2,112
Sum of prime factors: 81

Primality

Prime factorization: 2 ³ × 3 × 5 × 67

Nearest primes: 8,039 (−1) · 8,053 (+13)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 30 · 40 · 60 · 67 · 120 · 134 · 201 · 268 · 335 · 402 · 536 · 670 · 804 · 1005 · 1340 · 1608 · 2010 · 2680 · 4020 (half) · 8040

Aliquot sum (sum of proper divisors): 16,440

Factor pairs (a × b = 8,040)

1 × 8040

2 × 4020

3 × 2680

4 × 2010

5 × 1608

6 × 1340

8 × 1005

10 × 804

12 × 670

15 × 536

20 × 402

24 × 335

30 × 268

40 × 201

60 × 134

67 × 120

First multiples

8,040 · 16,080 (double) · 24,120 · 32,160 · 40,200 · 48,240 · 56,280 · 64,320 · 72,360 · 80,400

Sums & aliquot sequence

As consecutive integers: 2,679 + 2,680 + 2,681 1,606 + 1,607 + 1,608 + 1,609 + 1,610 529 + 530 + … + 543 495 + 496 + … + 510

Aliquot sequence: 8,040 → 16,440 → 33,240 → 66,840 → 134,040 → 268,440 → 537,240 → 1,282,200 → 2,694,480 → 5,816,880 → 14,226,480 → 33,553,200 → 73,932,728 → 73,714,072 → 73,435,928 → 64,256,452 → 56,842,344 — unresolved within range

Continued fraction of √n

√8,040 = [89; (1, 1, 1, 178)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: eight thousand forty
Ordinal: 8040th
Binary: 1111101101000
Octal: 17550
Hexadecimal: 0x1F68
Base64: H2g=
One's complement: 57,495 (16-bit)
Scientific notation: 8.04 × 10³
As a duration: 8,040 s = 2 hours, 14 minutes

In other bases

ternary (3) 102000210

quaternary (4) 1331220

quinary (5) 224130

senary (6) 101120

septenary (7) 32304

nonary (9) 12023

undecimal (11) 604a

duodecimal (12) 47a0

tridecimal (13) 3876

tetradecimal (14) 2d04

pentadecimal (15) 25b0

As an angle

8,040° = 22 × 360° + 120°

120° ≈ 2.094 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ημʹ
Mayan (base 20): 𝋡·𝋠·𝋢·𝋠
Chinese: 八千零四十
Chinese (financial): 捌仟零肆拾

In other modern scripts

Eastern Arabic ٨٠٤٠ Devanagari ८०४० Bengali ৮০৪০ Tamil ௮௦௪௦ Thai ๘๐๔๐ Tibetan ༨༠༤༠ Khmer ៨០៤០ Lao ໘໐໔໐ Burmese ၈၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 8,040 = 6
e — Euler's number (e): Digit 8,040 = 5
φ — Golden ratio (φ): Digit 8,040 = 1
√2 — Pythagoras's (√2): Digit 8,040 = 6
ln 2 — Natural log of 2: Digit 8,040 = 2
γ — Euler-Mascheroni (γ): Digit 8,040 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 8040, here are decompositions:

23 + 8017 = 8040
29 + 8011 = 8040
31 + 8009 = 8040
47 + 7993 = 8040
89 + 7951 = 8040
103 + 7937 = 8040
107 + 7933 = 8040
113 + 7927 = 8040

Showing the first eight; more decompositions exist.

Unicode codepoint

Ὠ

Greek Capital Letter Omega With Psili

U+1F68

Uppercase letter (Lu)

UTF-8 encoding: E1 BD A8 (3 bytes).

Lookup U+1F68 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001F68

RGB(0, 31, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.104.

Address: 0.0.31.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.31.104

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

Musical pitch

Heard as a frequency, 8,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): B8 (7902.1 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): C9 (8192 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): C9 (7896.3 Hz, +31¢)

Position in π

The digit sequence 8040 first appears in π at position 11,972 of the decimal expansion (the 11,972ordinal-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 8040 on Pi Search ↗