Live analysis

998,000

998,000 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.).

998,000 (nine hundred ninety-eight thousand) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 499. Its proper divisors sum to 1,420,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A70.

Abundant Number Arithmetic Number Flippable Happy Number Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

997,988 997,989 997,990 997,991 997,992 997,993 997,994 997,995 997,996 997,997 997,998 997,999 998,000 998,001 998,002 998,003 998,004 998,005 998,006 998,007 998,008 998,009 998,010 998,011 998,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 26
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 899
Flips to (rotate 180°): 866
Square (n²): 996,004,000,000
Cube (n³): 994,011,992,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 2,418,000
φ(n) — Euler's totient: 398,400
Sum of prime factors: 522

Primality

Prime factorization: 2 ⁴ × 5 ³ × 499

Nearest primes: 997,991 (−9) · 998,009 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 40 · 50 · 80 · 100 · 125 · 200 · 250 · 400 · 499 · 500 · 998 · 1000 · 1996 · 2000 · 2495 · 3992 · 4990 · 7984 · 9980 · 12475 · 19960 · 24950 · 39920 · 49900 · 62375 · 99800 · 124750 · 199600 · 249500 · 499000 (half) · 998000

Aliquot sum (sum of proper divisors): 1,420,000

Factor pairs (a × b = 998,000)

1 × 998000

2 × 499000

4 × 249500

5 × 199600

8 × 124750

10 × 99800

16 × 62375

20 × 49900

25 × 39920

40 × 24950

50 × 19960

80 × 12475

100 × 9980

125 × 7984

200 × 4990

250 × 3992

400 × 2495

499 × 2000

500 × 1996

998 × 1000

First multiples

998,000 · 1,996,000 (double) · 2,994,000 · 3,992,000 · 4,990,000 · 5,988,000 · 6,986,000 · 7,984,000 · 8,982,000 · 9,980,000

Sums & aliquot sequence

As consecutive integers: 199,598 + 199,599 + 199,600 + 199,601 + 199,602 39,908 + 39,909 + … + 39,932 31,172 + 31,173 + … + 31,203 7,922 + 7,923 + … + 8,046

Aliquot sequence: 998,000 → 1,420,000 → 2,122,616 → 2,063,464 → 2,103,356 → 1,577,524 → 1,527,116 → 1,156,516 → 867,394 → 571,166 → 350,290 → 308,078 → 169,042 → 84,524 → 87,844 → 65,890 → 63,710 — unresolved within range

Continued fraction of √n

√998,000 = [998; (1, 1996)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand
Ordinal: 998000th
Binary: 11110011101001110000
Octal: 3635160
Hexadecimal: 0xF3A70
Base64: Dzpw
One's complement: 4,293,969,295 (32-bit)
Scientific notation: 9.98 × 10⁵
As a duration: 998,000 s = 11 days, 13 hours, 13 minutes, 20 seconds

In other bases

ternary (3) 1212200222222

quaternary (4) 3303221300

quinary (5) 223414000

senary (6) 33220212

septenary (7) 11324423

nonary (9) 1780888

undecimal (11) 6218a3

duodecimal (12) 401668

tridecimal (13) 28c343

tetradecimal (14) 1bd9ba

pentadecimal (15) 14aa85

As an angle

998,000° = 2,772 × 360° + 80°

80° ≈ 1.396 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ϡϟη
Chinese: 九十九萬八千
Chinese (financial): 玖拾玖萬捌仟

In other modern scripts

Eastern Arabic ٩٩٨٠٠٠ Devanagari ९९८००० Bengali ৯৯৮০০০ Tamil ௯௯௮௦௦௦ Thai ๙๙๘๐๐๐ Tibetan ༩༩༨༠༠༠ Khmer ៩៩៨០០០ Lao ໙໙໘໐໐໐ Burmese ၉၉၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998000, here are decompositions:

37 + 997963 = 998000
67 + 997933 = 998000
103 + 997897 = 998000
109 + 997891 = 998000
193 + 997807 = 998000
307 + 997693 = 998000
337 + 997663 = 998000
349 + 997651 = 998000

Showing the first eight; more decompositions exist.

Hex color

#0F3A70

RGB(15, 58, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.112.

Address: 0.15.58.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.112

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 998,000 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 US998,000 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998000 first appears in π at position 93,038 of the decimal expansion (the 93,038ordinal-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 998000 on Pi Search ↗