Live analysis

998,984

998,984 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.).

998,984 (nine hundred ninety-eight thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 17,839. Its proper divisors sum to 1,141,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E48.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

998,972 998,973 998,974 998,975 998,976 998,977 998,978 998,979 998,980 998,981 998,982 998,983 998,984 998,985 998,986 998,987 998,988 998,989 998,990 998,991 998,992 998,993 998,994 998,995 998,996

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Properties

Parity: Even
Digit count: 6
Digit sum: 47
Digit product: 186,624
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 489,899
Square (n²): 997,969,032,256
Cube (n³): 996,955,095,719,227,904
Divisor count: 16
σ(n) — sum of divisors: 2,140,800
φ(n) — Euler's totient: 428,112
Sum of prime factors: 17,852

Primality

Prime factorization: 2 ³ × 7 × 17839

Nearest primes: 998,983 (−1) · 998,989 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 17839 · 35678 · 71356 · 124873 · 142712 · 249746 · 499492 (half) · 998984

Aliquot sum (sum of proper divisors): 1,141,816

Factor pairs (a × b = 998,984)

1 × 998984

2 × 499492

4 × 249746

7 × 142712

8 × 124873

14 × 71356

28 × 35678

56 × 17839

First multiples

998,984 · 1,997,968 (double) · 2,996,952 · 3,995,936 · 4,994,920 · 5,993,904 · 6,992,888 · 7,991,872 · 8,990,856 · 9,989,840

Sums & aliquot sequence

As consecutive integers: 142,709 + 142,710 + … + 142,715 62,429 + 62,430 + … + 62,444 8,864 + 8,865 + … + 8,975

Aliquot sequence: 998,984 → 1,141,816 → 1,163,984 → 1,190,032 → 1,115,686 → 916,442 → 477,274 → 353,894 → 217,306 → 111,014 → 59,194 → 34,874 → 27,334 → 14,426 → 7,216 → 8,408 → 7,372 — unresolved within range

Continued fraction of √n

√998,984 = [999; (2, 30, 3, 1, 16, 21, 1, 2, 64, 6, 1, 9, 7, 3, 1, 1, 1, 3, 4, 1, 5, 6, 2, 1, …)]

Representations

In words: nine hundred ninety-eight thousand nine hundred eighty-four
Ordinal: 998984th
Binary: 11110011111001001000
Octal: 3637110
Hexadecimal: 0xF3E48
Base64: Dz5I
One's complement: 4,293,968,311 (32-bit)
Scientific notation: 9.98984 × 10⁵
As a duration: 998,984 s = 11 days, 13 hours, 29 minutes, 44 seconds

In other bases

ternary (3) 1212202100102

quaternary (4) 3303321020

quinary (5) 223431414

senary (6) 33224532

septenary (7) 11330330

nonary (9) 1782312

undecimal (11) 622608

duodecimal (12) 402148

tridecimal (13) 28c91c

tetradecimal (14) 1c00c0

pentadecimal (15) 14aede

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηϡπδʹ
Chinese: 九十九萬八千九百八十四
Chinese (financial): 玖拾玖萬捌仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ٩٩٨٩٨٤ Devanagari ९९८९८४ Bengali ৯৯৮৯৮৪ Tamil ௯௯௮௯௮௪ Thai ๙๙๘๙๘๔ Tibetan ༩༩༨༩༨༤ Khmer ៩៩៨៩៨៤ Lao ໙໙໘໙໘໔ Burmese ၉၉၈၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998984, here are decompositions:

37 + 998947 = 998984
43 + 998941 = 998984
67 + 998917 = 998984
127 + 998857 = 998984
241 + 998743 = 998984
331 + 998653 = 998984
367 + 998617 = 998984
433 + 998551 = 998984

Showing the first eight; more decompositions exist.

Hex color

#0F3E48

RGB(15, 62, 72)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.72.

Address: 0.15.62.72
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.62.72

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 998,984 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 US998,984 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998984 first appears in π at position 293,315 of the decimal expansion (the 293,315ordinal-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 998984 on Pi Search ↗