Live analysis

88,080

88,080 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.).

88,080 (eighty-eight thousand eighty) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 5 × 367. Its proper divisors sum to 185,712, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x15810.

Abundant Number Flippable Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

88,068 88,069 88,070 88,071 88,072 88,073 88,074 88,075 88,076 88,077 88,078 88,079 88,080 88,081 88,082 88,083 88,084 88,085 88,086 88,087 88,088 88,089 88,090 88,091 88,092

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 8,088
Flips to (rotate 180°): 8,088
Recamán's sequence: a(111,771) = 88,080
Square (n²): 7,758,086,400
Cube (n³): 683,332,250,112,000
Divisor count: 40
σ(n) — sum of divisors: 273,792
φ(n) — Euler's totient: 23,424
Sum of prime factors: 383

Primality

Prime factorization: 2 ⁴ × 3 × 5 × 367

Nearest primes: 88,079 (−1) · 88,093 (+13)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 40 · 48 · 60 · 80 · 120 · 240 · 367 · 734 · 1101 · 1468 · 1835 · 2202 · 2936 · 3670 · 4404 · 5505 · 5872 · 7340 · 8808 · 11010 · 14680 · 17616 · 22020 · 29360 · 44040 (half) · 88080

Aliquot sum (sum of proper divisors): 185,712

Factor pairs (a × b = 88,080)

1 × 88080

2 × 44040

3 × 29360

4 × 22020

5 × 17616

6 × 14680

8 × 11010

10 × 8808

12 × 7340

15 × 5872

16 × 5505

20 × 4404

24 × 3670

30 × 2936

40 × 2202

48 × 1835

60 × 1468

80 × 1101

120 × 734

240 × 367

First multiples

88,080 · 176,160 (double) · 264,240 · 352,320 · 440,400 · 528,480 · 616,560 · 704,640 · 792,720 · 880,800

Sums & aliquot sequence

As consecutive integers: 29,359 + 29,360 + 29,361 17,614 + 17,615 + 17,616 + 17,617 + 17,618 5,865 + 5,866 + … + 5,879 2,737 + 2,738 + … + 2,768

Aliquot sequence: 88,080 → 185,712 → 309,792 → 621,600 → 1,753,248 → 3,508,512 → 7,523,040 → 19,572,000 → 54,020,064 → 108,042,144 → 223,710,816 → 447,423,648 → 910,110,432 → 2,068,456,992 → 4,247,738,544 → 8,770,983,760 → 18,628,405,424 — keeps growing

Continued fraction of √n

√88,080 = [296; (1, 3, 1, 1, 1, 1, 12, 1, 7, 2, 3, 3, 1, 4, 7, 4, 1, 3, 3, 2, 7, 1, 12, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words: eighty-eight thousand eighty
Ordinal: 88080th
Binary: 10101100000010000
Octal: 254020
Hexadecimal: 0x15810
Base64: AVgQ
One's complement: 4,294,879,215 (32-bit)
Scientific notation: 8.808 × 10⁴
As a duration: 88,080 s = 1 day, 28 minutes

In other bases

ternary (3) 11110211020

quaternary (4) 111200100

quinary (5) 10304310

senary (6) 1515440

septenary (7) 514536

nonary (9) 143736

undecimal (11) 601a3

duodecimal (12) 42b80

tridecimal (13) 31125

tetradecimal (14) 24156

pentadecimal (15) 1b170

As an angle

88,080° = 244 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵πηπʹ
Mayan (base 20): 𝋫·𝋠·𝋤·𝋠
Chinese: 八萬八千零八十
Chinese (financial): 捌萬捌仟零捌拾

In other modern scripts

Eastern Arabic ٨٨٠٨٠ Devanagari ८८०८० Bengali ৮৮০৮০ Tamil ௮௮௦௮௦ Thai ๘๘๐๘๐ Tibetan ༨༨༠༨༠ Khmer ៨៨០៨០ Lao ໘໘໐໘໐ Burmese ၈၈၀၈၀

Digit at this position in famous constants

π — Pi (π): Digit 88,080 = 3
e — Euler's number (e): Digit 88,080 = 0
φ — Golden ratio (φ): Digit 88,080 = 5
√2 — Pythagoras's (√2): Digit 88,080 = 7
ln 2 — Natural log of 2: Digit 88,080 = 9
γ — Euler-Mascheroni (γ): Digit 88,080 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 88080, here are decompositions:

11 + 88069 = 88080
43 + 88037 = 88080
61 + 88019 = 88080
73 + 88007 = 88080
79 + 88001 = 88080
89 + 87991 = 88080
103 + 87977 = 88080
107 + 87973 = 88080

Showing the first eight; more decompositions exist.

Hex color

#015810

RGB(1, 88, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.88.16.

Address: 0.1.88.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.88.16

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

Position in π

The digit sequence 88080 first appears in π at position 233,365 of the decimal expansion (the 233,365ordinal-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 88080 on Pi Search ↗