Live analysis

998,004

998,004 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.).

998,004 (nine hundred ninety-eight thousand four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7 × 109². Its proper divisors sum to 1,687,980, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A74.

Abundant Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

997,992 997,993 997,994 997,995 997,996 997,997 997,998 997,999 998,000 998,001 998,002 998,003 998,004 998,005 998,006 998,007 998,008 998,009 998,010 998,011 998,012 998,013 998,014 998,015 998,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 400,899
Square (n²): 996,011,984,016
Cube (n³): 994,023,944,095,904,064
Divisor count: 36
σ(n) — sum of divisors: 2,685,984
φ(n) — Euler's totient: 282,528
Sum of prime factors: 232

Primality

Prime factorization: 2 ² × 3 × 7 × 109 ²

Nearest primes: 997,991 (−13) · 998,009 (+5)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 109 · 218 · 327 · 436 · 654 · 763 · 1308 · 1526 · 2289 · 3052 · 4578 · 9156 · 11881 · 23762 · 35643 · 47524 · 71286 · 83167 · 142572 · 166334 · 249501 · 332668 · 499002 (half) · 998004

Aliquot sum (sum of proper divisors): 1,687,980

Factor pairs (a × b = 998,004)

1 × 998004

2 × 499002

3 × 332668

4 × 249501

6 × 166334

7 × 142572

12 × 83167

14 × 71286

21 × 47524

28 × 35643

42 × 23762

84 × 11881

109 × 9156

218 × 4578

327 × 3052

436 × 2289

654 × 1526

763 × 1308

First multiples

998,004 · 1,996,008 (double) · 2,994,012 · 3,992,016 · 4,990,020 · 5,988,024 · 6,986,028 · 7,984,032 · 8,982,036 · 9,980,040

Sums & aliquot sequence

As consecutive integers: 332,667 + 332,668 + 332,669 142,569 + 142,570 + … + 142,575 124,747 + 124,748 + … + 124,754 47,514 + 47,515 + … + 47,534

Aliquot sequence: 998,004 → 1,687,980 → 3,714,900 → 9,200,940 → 21,818,580 → 48,002,220 → 136,921,428 → 278,257,644 → 544,324,116 → 907,207,084 → 926,304,596 → 927,150,700 → 1,472,195,732 → 1,472,195,788 → 1,668,732,212 → 1,668,732,268 → 1,783,818,932 — unresolved within range

Continued fraction of √n

√998,004 = [999; (666, 1998)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand four
Ordinal: 998004th
Binary: 11110011101001110100
Octal: 3635164
Hexadecimal: 0xF3A74
Base64: Dzp0
One's complement: 4,293,969,291 (32-bit)
Scientific notation: 9.98004 × 10⁵
As a duration: 998,004 s = 11 days, 13 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 1212201000010

quaternary (4) 3303221310

quinary (5) 223414004

senary (6) 33220220

septenary (7) 11324430

nonary (9) 1781003

undecimal (11) 6218a7

duodecimal (12) 401670

tridecimal (13) 28c347

tetradecimal (14) 1bd9c0

pentadecimal (15) 14aa89

As an angle

998,004° = 2,772 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηδʹ
Chinese: 九十九萬八千零四
Chinese (financial): 玖拾玖萬捌仟零肆

In other modern scripts

Eastern Arabic ٩٩٨٠٠٤ Devanagari ९९८००४ Bengali ৯৯৮০০৪ Tamil ௯௯௮௦௦௪ Thai ๙๙๘๐๐๔ Tibetan ༩༩༨༠༠༤ Khmer ៩៩៨០០៤ Lao ໙໙໘໐໐໔ Burmese ၉၉၈၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998004, here are decompositions:

13 + 997991 = 998004
31 + 997973 = 998004
41 + 997963 = 998004
43 + 997961 = 998004
71 + 997933 = 998004
107 + 997897 = 998004
113 + 997891 = 998004
127 + 997877 = 998004

Showing the first eight; more decompositions exist.

Hex color

#0F3A74

RGB(15, 58, 116)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.116.

Address: 0.15.58.116
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.116

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 998,004 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 US998,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998004 first appears in π at position 274,135 of the decimal expansion (the 274,135ordinal-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 998004 on Pi Search ↗