Live analysis

998,992

998,992 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.).

998,992 (nine hundred ninety-eight thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 29 × 2,153. Its proper divisors sum to 1,004,228, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E50.

Abundant Number Arithmetic Number Happy Number Lazy Caterer Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,980 998,981 998,982 998,983 998,984 998,985 998,986 998,987 998,988 998,989 998,990 998,991 998,992 998,993 998,994 998,995 998,996 998,997 998,998 998,999 999,000 999,001 999,002 999,003 999,004

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 46
Digit product: 104,976
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 299,899
Square (n²): 997,985,016,064
Cube (n³): 996,979,047,167,807,488
Divisor count: 20
σ(n) — sum of divisors: 2,003,220
φ(n) — Euler's totient: 482,048
Sum of prime factors: 2,190

Primality

Prime factorization: 2 ⁴ × 29 × 2153

Nearest primes: 998,989 (−3) · 999,007 (+15)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 16 · 29 · 58 · 116 · 232 · 464 · 2153 · 4306 · 8612 · 17224 · 34448 · 62437 · 124874 · 249748 · 499496 (half) · 998992

Aliquot sum (sum of proper divisors): 1,004,228

Factor pairs (a × b = 998,992)

1 × 998992

2 × 499496

4 × 249748

8 × 124874

16 × 62437

29 × 34448

58 × 17224

116 × 8612

232 × 4306

464 × 2153

First multiples

998,992 · 1,997,984 (double) · 2,996,976 · 3,995,968 · 4,994,960 · 5,993,952 · 6,992,944 · 7,991,936 · 8,990,928 · 9,989,920

Sums & aliquot sequence

As a sum of two squares: 264² + 964² = 516² + 856²

As consecutive integers: 34,434 + 34,435 + … + 34,462 31,203 + 31,204 + … + 31,234 613 + 614 + … + 1,540

Aliquot sequence: 998,992 → 1,004,228 → 753,178 → 376,592 → 353,086 → 186,698 → 95,194 → 60,614 → 30,310 → 32,186 → 31,654 → 29,906 → 17,374 → 14,594 → 7,300 → 8,758 → 4,922 — unresolved within range

Continued fraction of √n

√998,992 = [999; (2, 60, 13, 4, 1, 1, 30, 1, 2, 8, 4, 8, 19, 3, 2, 30, 1, 4, 8, 2, 4, 1, 2, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand nine hundred ninety-two
Ordinal: 998992nd
Binary: 11110011111001010000
Octal: 3637120
Hexadecimal: 0xF3E50
Base64: Dz5Q
One's complement: 4,293,968,303 (32-bit)
Scientific notation: 9.98992 × 10⁵
As a duration: 998,992 s = 11 days, 13 hours, 29 minutes, 52 seconds

In other bases

ternary (3) 1212202100201

quaternary (4) 3303321100

quinary (5) 223431432

senary (6) 33224544

septenary (7) 11330341

nonary (9) 1782321

undecimal (11) 622615

duodecimal (12) 402154

tridecimal (13) 28c927

tetradecimal (14) 1c00c8

pentadecimal (15) 14aee7

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηϡϟβʹ
Chinese: 九十九萬八千九百九十二
Chinese (financial): 玖拾玖萬捌仟玖佰玖拾貳

In other modern scripts

Eastern Arabic ٩٩٨٩٩٢ Devanagari ९९८९९२ Bengali ৯৯৮৯৯২ Tamil ௯௯௮௯௯௨ Thai ๙๙๘๙๙๒ Tibetan ༩༩༨༩༩༢ Khmer ៩៩៨៩៩២ Lao ໙໙໘໙໙໒ Burmese ၉၉၈၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998992, here are decompositions:

3 + 998989 = 998992
23 + 998969 = 998992
41 + 998951 = 998992
83 + 998909 = 998992
131 + 998861 = 998992
149 + 998843 = 998992
173 + 998819 = 998992
179 + 998813 = 998992

Showing the first eight; more decompositions exist.

Hex color

#0F3E50

RGB(15, 62, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.80.

Address: 0.15.62.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.62.80

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 998,992 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 US998,992 on Google Patents ↗ Look up on USPTO ↗