Live analysis

988,098

988,098 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.).

988,098 (nine hundred eighty-eight thousand ninety-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 164,683. Its proper divisors sum to 988,110, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13C2.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,086 988,087 988,088 988,089 988,090 988,091 988,092 988,093 988,094 988,095 988,096 988,097 988,098 988,099 988,100 988,101 988,102 988,103 988,104 988,105 988,106 988,107 988,108 988,109 988,110

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 42
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 890,889
Flips to (rotate 180°): 860,886
Square (n²): 976,337,657,604
Cube (n³): 964,717,286,803,197,192
Divisor count: 8
σ(n) — sum of divisors: 1,976,208
φ(n) — Euler's totient: 329,364
Sum of prime factors: 164,688

Primality

Prime factorization: 2 × 3 × 164683

Nearest primes: 988,093 (−5) · 988,109 (+11)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 164683 · 329366 · 494049 (half) · 988098

Aliquot sum (sum of proper divisors): 988,110

Factor pairs (a × b = 988,098)

1 × 988098

2 × 494049

3 × 329366

6 × 164683

First multiples

988,098 · 1,976,196 (double) · 2,964,294 · 3,952,392 · 4,940,490 · 5,928,588 · 6,916,686 · 7,904,784 · 8,892,882 · 9,880,980

Sums & aliquot sequence

As consecutive integers: 329,365 + 329,366 + 329,367 247,023 + 247,024 + 247,025 + 247,026 82,336 + 82,337 + … + 82,347

Aliquot sequence: 988,098 → 988,110 → 1,581,210 → 2,530,170 → 4,217,670 → 7,491,258 → 9,156,102 → 9,187,818 → 9,187,830 → 17,020,170 → 27,455,742 → 32,321,898 → 48,862,998 → 63,235,170 → 101,176,506 → 128,894,214 → 142,462,266 — unresolved within range

Continued fraction of √n

√988,098 = [994; (32, 15, 2, 1, 1, 1, 2, 2, 4, 5, 5, 4, 6, 2, 1, 9, 3, 3, 1, 5, 7, 1, 1, 1, …)]

Representations

In words: nine hundred eighty-eight thousand ninety-eight
Ordinal: 988098th
Binary: 11110001001111000010
Octal: 3611702
Hexadecimal: 0xF13C2
Base64: DxPC
One's complement: 4,293,979,197 (32-bit)
Scientific notation: 9.88098 × 10⁵
As a duration: 988,098 s = 11 days, 10 hours, 28 minutes, 18 seconds

In other bases

ternary (3) 1212012102020

quaternary (4) 3301033002

quinary (5) 223104343

senary (6) 33102310

septenary (7) 11253516

nonary (9) 1765366

undecimal (11) 615411

duodecimal (12) 3b7996

tridecimal (13) 287997

tetradecimal (14) 1ba146

pentadecimal (15) 147b83

As an angle

988,098° = 2,744 × 360° + 258°

258° ≈ 4.503 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηϟηʹ
Chinese: 九十八萬八千零九十八
Chinese (financial): 玖拾捌萬捌仟零玖拾捌

In other modern scripts

Eastern Arabic ٩٨٨٠٩٨ Devanagari ९८८०९८ Bengali ৯৮৮০৯৮ Tamil ௯௮௮௦௯௮ Thai ๙๘๘๐๙๘ Tibetan ༩༨༨༠༩༨ Khmer ៩៨៨០៩៨ Lao ໙໘໘໐໙໘ Burmese ၉၈၈၀၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988098, here are decompositions:

5 + 988093 = 988098
29 + 988069 = 988098
31 + 988067 = 988098
37 + 988061 = 988098
47 + 988051 = 988098
101 + 987997 = 988098
107 + 987991 = 988098
127 + 987971 = 988098

Showing the first eight; more decompositions exist.

Hex color

#0F13C2

RGB(15, 19, 194)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.194.

Address: 0.15.19.194
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.194

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 988,098 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US988,098 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988098 first appears in π at position 653,693 of the decimal expansion (the 653,693ordinal-suffix:rd 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 988098 on Pi Search ↗