Live analysis

4,088

4,088 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.).

4,088 (four thousand eighty-eight) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 73. Its proper divisors sum to 4,792, more than the number itself, making it an abundant number. Written other ways, in binary, 111111111000.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

4,076 4,077 4,078 4,079 4,080 4,081 4,082 4,083 4,084 4,085 4,086 4,087 4,088 4,089 4,090 4,091 4,092 4,093 4,094 4,095 4,096 4,097 4,098 4,099 4,100

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 12 bits
Reversed: 8,804
Recamán's sequence: a(14,215) = 4,088
Square (n²): 16,711,744
Cube (n³): 68,317,609,472
Divisor count: 16
σ(n) — sum of divisors: 8,880
φ(n) — Euler's totient: 1,728
Sum of prime factors: 86

Primality

Prime factorization: 2 ³ × 7 × 73

Nearest primes: 4,079 (−9) · 4,091 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 73 · 146 · 292 · 511 · 584 · 1022 · 2044 (half) · 4088

Aliquot sum (sum of proper divisors): 4,792

Factor pairs (a × b = 4,088)

1 × 4088

2 × 2044

4 × 1022

7 × 584

8 × 511

14 × 292

28 × 146

56 × 73

First multiples

4,088 · 8,176 (double) · 12,264 · 16,352 · 20,440 · 24,528 · 28,616 · 32,704 · 36,792 · 40,880

Sums & aliquot sequence

As consecutive integers: 581 + 582 + … + 587 248 + 249 + … + 263 20 + 21 + … + 92

Aliquot sequence: 4,088 → 4,792 → 4,208 → 3,976 → 4,664 → 5,056 → 5,104 → 6,056 → 5,314 → 2,660 → 4,060 → 6,020 → 8,764 → 8,820 → 22,302 → 35,298 → 44,730 — unresolved within range

Continued fraction of √n

√4,088 = [63; (1, 14, 1, 126)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: four thousand eighty-eight
Ordinal: 4088th
Binary: 111111111000
Octal: 7770
Hexadecimal: 0xFF8
Base64: D/g=
One's complement: 61,447 (16-bit)
Scientific notation: 4.088 × 10³
As a duration: 4,088 s = 1 hour, 8 minutes, 8 seconds

In other bases

ternary (3) 12121102

quaternary (4) 333320

quinary (5) 112323

senary (6) 30532

septenary (7) 14630

nonary (9) 5542

undecimal (11) 3087

duodecimal (12) 2448

tridecimal (13) 1b26

tetradecimal (14) 16c0

pentadecimal (15) 1328

As an angle

4,088° = 11 × 360° + 128°

128° ≈ 2.234 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵δπηʹ
Mayan (base 20): 𝋪·𝋤·𝋨
Chinese: 四千零八十八
Chinese (financial): 肆仟零捌拾捌

In other modern scripts

Eastern Arabic ٤٠٨٨ Devanagari ४०८८ Bengali ৪০৮৮ Tamil ௪௦௮௮ Thai ๔๐๘๘ Tibetan ༤༠༨༨ Khmer ៤០៨៨ Lao ໔໐໘໘ Burmese ၄၀၈၈

Digit at this position in famous constants

π — Pi (π): Digit 4,088 = 8
e — Euler's number (e): Digit 4,088 = 8
φ — Golden ratio (φ): Digit 4,088 = 3
√2 — Pythagoras's (√2): Digit 4,088 = 9
ln 2 — Natural log of 2: Digit 4,088 = 6
γ — Euler-Mascheroni (γ): Digit 4,088 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 4088, here are decompositions:

31 + 4057 = 4088
37 + 4051 = 4088
61 + 4027 = 4088
67 + 4021 = 4088
157 + 3931 = 4088
181 + 3907 = 4088
199 + 3889 = 4088
211 + 3877 = 4088

Showing the first eight; more decompositions exist.

Hex color

#000FF8

RGB(0, 15, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.15.248.

Address: 0.0.15.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.15.248

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

Musical pitch

Heard as a frequency, 4,088 Hz is closest to:

Concert pitch (A4 = 440 Hz): C8 (4186 Hz, -41¢)
Scientific pitch (C4 = 256 Hz): C8 (4096 Hz, -3¢)
Baroque pitch (A4 = 415 Hz): C♯8 (4182.9 Hz, -40¢)

Position in π

The digit sequence 4088 first appears in π at position 3,162 of the decimal expansion (the 3,162ordinal-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 4088 on Pi Search ↗