Live analysis

988,998

988,998 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.).

988,998 (nine hundred eighty-eight thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 191 × 863. Its proper divisors sum to 1,001,658, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1746.

Abundant Number Arithmetic Number Cube-Free Flippable Odious Number Pernicious Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,986 988,987 988,988 988,989 988,990 988,991 988,992 988,993 988,994 988,995 988,996 988,997 988,998 988,999 989,000 989,001 989,002 989,003 989,004 989,005 989,006 989,007 989,008 989,009 989,010

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 51
Digit product: 373,248
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 899,889
Flips to (rotate 180°): 866,886
Square (n²): 978,117,044,004
Cube (n³): 967,355,800,285,867,992
Divisor count: 16
σ(n) — sum of divisors: 1,990,656
φ(n) — Euler's totient: 327,560
Sum of prime factors: 1,059

Primality

Prime factorization: 2 × 3 × 191 × 863

Nearest primes: 988,979 (−19) · 989,011 (+13)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 191 · 382 · 573 · 863 · 1146 · 1726 · 2589 · 5178 · 164833 · 329666 · 494499 (half) · 988998

Aliquot sum (sum of proper divisors): 1,001,658

Factor pairs (a × b = 988,998)

1 × 988998

2 × 494499

3 × 329666

6 × 164833

191 × 5178

382 × 2589

573 × 1726

863 × 1146

First multiples

988,998 · 1,977,996 (double) · 2,966,994 · 3,955,992 · 4,944,990 · 5,933,988 · 6,922,986 · 7,911,984 · 8,900,982 · 9,889,980

Sums & aliquot sequence

As consecutive integers: 329,665 + 329,666 + 329,667 247,248 + 247,249 + 247,250 + 247,251 82,411 + 82,412 + … + 82,422 5,083 + 5,084 + … + 5,273

Aliquot sequence: 988,998 → 1,001,658 → 1,329,414 → 1,369,914 → 2,038,278 → 2,471,802 → 2,471,814 → 2,986,938 → 3,484,800 → 10,182,945 → 6,153,567 → 3,633,105 → 3,130,287 → 1,235,025 → 1,182,975 → 773,001 → 343,569 — unresolved within range

Continued fraction of √n

√988,998 = [994; (2, 14, 1, 11, 3, 1, 2, 1, 41, 1, 1, 2, 2, 4, 2, 4, 6, 1, 13, 4, 11, 3, 1, 45, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand nine hundred ninety-eight
Ordinal: 988998th
Binary: 11110001011101000110
Octal: 3613506
Hexadecimal: 0xF1746
Base64: DxdG
One's complement: 4,293,978,297 (32-bit)
Scientific notation: 9.88998 × 10⁵
As a duration: 988,998 s = 11 days, 10 hours, 43 minutes, 18 seconds

In other bases

ternary (3) 1212020122120

quaternary (4) 3301131012

quinary (5) 223121443

senary (6) 33110410

septenary (7) 11256243

nonary (9) 1766576

undecimal (11) 61605a

duodecimal (12) 3b8406

tridecimal (13) 28820a

tetradecimal (14) 1ba5ca

pentadecimal (15) 148083

As an angle

988,998° = 2,747 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηϡϟηʹ
Chinese: 九十八萬八千九百九十八
Chinese (financial): 玖拾捌萬捌仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ٩٨٨٩٩٨ Devanagari ९८८९९८ Bengali ৯৮৮৯৯৮ Tamil ௯௮௮௯௯௮ Thai ๙๘๘๙๙๘ Tibetan ༩༨༨༩༩༨ Khmer ៩៨៨៩៩៨ Lao ໙໘໘໙໙໘ Burmese ၉၈၈၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988998, here are decompositions:

19 + 988979 = 988998
47 + 988951 = 988998
61 + 988937 = 988998
89 + 988909 = 988998
97 + 988901 = 988998
137 + 988861 = 988998
139 + 988859 = 988998
149 + 988849 = 988998

Showing the first eight; more decompositions exist.

Hex color

#0F1746

RGB(15, 23, 70)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.23.70.

Address: 0.15.23.70
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.23.70

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 988,998 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 US988,998 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988998 first appears in π at position 265,034 of the decimal expansion (the 265,034ordinal-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 988998 on Pi Search ↗