Live analysis

4,040

4,040 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.).

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

Properties

Parity: Even
Digit count: 4
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 404
Recamán's sequence: a(14,311) = 4,040
Square (n²): 16,321,600
Cube (n³): 65,939,264,000
Divisor count: 16
σ(n) — sum of divisors: 9,180
φ(n) — Euler's totient: 1,600
Sum of prime factors: 112

Primality

Prime factorization: 2 ³ × 5 × 101

Nearest primes: 4,027 (−13) · 4,049 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 101 · 202 · 404 · 505 · 808 · 1010 · 2020 (half) · 4040

Aliquot sum (sum of proper divisors): 5,140

Factor pairs (a × b = 4,040)

1 × 4040

2 × 2020

4 × 1010

5 × 808

8 × 505

10 × 404

20 × 202

40 × 101

First multiples

4,040 · 8,080 (double) · 12,120 · 16,160 · 20,200 · 24,240 · 28,280 · 32,320 · 36,360 · 40,400

Sums & aliquot sequence

As a sum of two squares: 14² + 62² = 26² + 58²

As consecutive integers: 806 + 807 + 808 + 809 + 810 245 + 246 + … + 260 11 + 12 + … + 90

Aliquot sequence: 4,040 → 5,140 → 5,696 → 5,734 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 → 8 → 7 → 1 → 0 — terminates at zero

Representations

In words: four thousand forty
Ordinal: 4040th
Binary: 111111001000
Octal: 7710
Hexadecimal: 0xFC8
Base64: D8g=
One's complement: 61,495 (16-bit)

In other bases

ternary (3) 12112122

quaternary (4) 333020

quinary (5) 112130

senary (6) 30412

septenary (7) 14531

nonary (9) 5478

undecimal (11) 3043

duodecimal (12) 2408

tridecimal (13) 1aba

tetradecimal (14) 1688

pentadecimal (15) 12e5

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian): ͵δμʹ
Mayan (base 20): 𝋪·𝋢·𝋠
Chinese: 四千零四十
Chinese (financial): 肆仟零肆拾

In other modern scripts

Eastern Arabic ٤٠٤٠ Devanagari ४०४० Bengali ৪০৪০ Tamil ௪௦௪௦ Thai ๔๐๔๐ Tibetan ༤༠༤༠ Khmer ៤០៤០ Lao ໔໐໔໐ Burmese ၄၀၄၀

Digit at this position in famous constants

π — Pi (π): Digit 4,040 = 6
e — Euler's number (e): Digit 4,040 = 8
φ — Golden ratio (φ): Digit 4,040 = 2
√2 — Pythagoras's (√2): Digit 4,040 = 8
ln 2 — Natural log of 2: Digit 4,040 = 6
γ — Euler-Mascheroni (γ): Digit 4,040 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4040, here are decompositions:

13 + 4027 = 4040
19 + 4021 = 4040
37 + 4003 = 4040
73 + 3967 = 4040
97 + 3943 = 4040
109 + 3931 = 4040
151 + 3889 = 4040
163 + 3877 = 4040

Showing the first eight; more decompositions exist.

Unicode codepoint

࿈

Tibetan Symbol Phur Pa

U+0FC8

Other symbol (So)

UTF-8 encoding: E0 BF 88 (3 bytes).

Lookup U+0FC8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000FC8

RGB(0, 15, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.200.

Address: 0.0.15.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.200

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

Position in π

The digit sequence 4040 first appears in π at position 13,085 of the decimal expansion (the 13,085ordinal-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 4040 on Pi Search ↗