Live analysis

6,040

6,040 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.).

6,040 (six thousand forty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 151. Its proper divisors sum to 7,640, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1798.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

6,028 6,029 6,030 6,031 6,032 6,033 6,034 6,035 6,036 6,037 6,038 6,039 6,040 6,041 6,042 6,043 6,044 6,045 6,046 6,047 6,048 6,049 6,050 6,051 6,052

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 13 bits
Reversed: 406
Recamán's sequence: a(12,683) = 6,040
Square (n²): 36,481,600
Cube (n³): 220,348,864,000
Divisor count: 16
σ(n) — sum of divisors: 13,680
φ(n) — Euler's totient: 2,400
Sum of prime factors: 162

Primality

Prime factorization: 2 ³ × 5 × 151

Nearest primes: 6,037 (−3) · 6,043 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 151 · 302 · 604 · 755 · 1208 · 1510 · 3020 (half) · 6040

Aliquot sum (sum of proper divisors): 7,640

Factor pairs (a × b = 6,040)

1 × 6040

2 × 3020

4 × 1510

5 × 1208

8 × 755

10 × 604

20 × 302

40 × 151

First multiples

6,040 · 12,080 (double) · 18,120 · 24,160 · 30,200 · 36,240 · 42,280 · 48,320 · 54,360 · 60,400

Sums & aliquot sequence

As consecutive integers: 1,206 + 1,207 + 1,208 + 1,209 + 1,210 370 + 371 + … + 385 36 + 37 + … + 115

Aliquot sequence: 6,040 → 7,640 → 9,640 → 12,140 → 13,396 → 11,552 → 12,451 → 1 → 0 — terminates at zero

Continued fraction of √n

√6,040 = [77; (1, 2, 1, 1, 5, 1, 9, 1, 1, 16, 1, 2, 1, 16, 1, 1, 9, 1, 5, 1, 1, 2, 1, 154)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: six thousand forty
Ordinal: 6040th
Binary: 1011110011000
Octal: 13630
Hexadecimal: 0x1798
Base64: F5g=
One's complement: 59,495 (16-bit)
Scientific notation: 6.04 × 10³
As a duration: 6,040 s = 1 hour, 40 minutes, 40 seconds

In other bases

ternary (3) 22021201

quaternary (4) 1132120

quinary (5) 143130

senary (6) 43544

septenary (7) 23416

nonary (9) 8251

undecimal (11) 45a1

duodecimal (12) 35b4

tridecimal (13) 2998

tetradecimal (14) 22b6

pentadecimal (15) 1bca

As an angle

6,040° = 16 × 360° + 280°

280° ≈ 4.887 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ϛμʹ
Mayan (base 20): 𝋯·𝋢·𝋠
Chinese: 六千零四十
Chinese (financial): 陸仟零肆拾

In other modern scripts

Eastern Arabic ٦٠٤٠ Devanagari ६०४० Bengali ৬০৪০ Tamil ௬௦௪௦ Thai ๖๐๔๐ Tibetan ༦༠༤༠ Khmer ៦០៤០ Lao ໖໐໔໐ Burmese ၆၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 6,040 = 9
e — Euler's number (e): Digit 6,040 = 6
φ — Golden ratio (φ): Digit 6,040 = 1
√2 — Pythagoras's (√2): Digit 6,040 = 8
ln 2 — Natural log of 2: Digit 6,040 = 9
γ — Euler-Mascheroni (γ): Digit 6,040 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6040, here are decompositions:

3 + 6037 = 6040
11 + 6029 = 6040
29 + 6011 = 6040
53 + 5987 = 6040
59 + 5981 = 6040
101 + 5939 = 6040
113 + 5927 = 6040
137 + 5903 = 6040

Showing the first eight; more decompositions exist.

Unicode codepoint

ម

Khmer Letter Mo

U+1798

Other letter (Lo)

UTF-8 encoding: E1 9E 98 (3 bytes).

Lookup U+1798 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#001798

RGB(0, 23, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.23.152.

Address: 0.0.23.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.23.152

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

Musical pitch

Heard as a frequency, 6,040 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯8 (5919.9 Hz, +35¢)
Scientific pitch (C4 = 256 Hz): G8 (6137.1 Hz, -28¢)
Baroque pitch (A4 = 415 Hz): G8 (5915.6 Hz, +36¢)

Position in π

The digit sequence 6040 first appears in π at position 1,172 of the decimal expansion (the 1,172ordinal-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 6040 on Pi Search ↗