Live analysis

998,008

998,008 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.).

998,008 (nine hundred ninety-eight thousand eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 11² × 1,031. Its proper divisors sum to 1,060,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A78.

Abundant Number Arithmetic Number Evil Number Flippable Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

997,996 997,997 997,998 997,999 998,000 998,001 998,002 998,003 998,004 998,005 998,006 998,007 998,008 998,009 998,010 998,011 998,012 998,013 998,014 998,015 998,016 998,017 998,018 998,019 998,020

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 800,899
Flips to (rotate 180°): 800,866
Square (n²): 996,019,968,064
Cube (n³): 994,035,896,287,616,512
Divisor count: 24
σ(n) — sum of divisors: 2,058,840
φ(n) — Euler's totient: 453,200
Sum of prime factors: 1,059

Primality

Prime factorization: 2 ³ × 11 ² × 1031

Nearest primes: 997,991 (−17) · 998,009 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 11 · 22 · 44 · 88 · 121 · 242 · 484 · 968 · 1031 · 2062 · 4124 · 8248 · 11341 · 22682 · 45364 · 90728 · 124751 · 249502 · 499004 (half) · 998008

Aliquot sum (sum of proper divisors): 1,060,832

Factor pairs (a × b = 998,008)

1 × 998008

2 × 499004

4 × 249502

8 × 124751

11 × 90728

22 × 45364

44 × 22682

88 × 11341

121 × 8248

242 × 4124

484 × 2062

968 × 1031

First multiples

998,008 · 1,996,016 (double) · 2,994,024 · 3,992,032 · 4,990,040 · 5,988,048 · 6,986,056 · 7,984,064 · 8,982,072 · 9,980,080

Sums & aliquot sequence

As consecutive integers: 90,723 + 90,724 + … + 90,733 62,368 + 62,369 + … + 62,383 8,188 + 8,189 + … + 8,308 5,583 + 5,584 + … + 5,758

Aliquot sequence: 998,008 → 1,060,832 → 1,027,744 → 995,690 → 902,302 → 463,898 → 236,710 → 189,386 → 94,696 → 121,304 → 110,896 → 112,304 → 105,316 → 81,416 → 71,254 → 40,346 → 20,176 — unresolved within range

Continued fraction of √n

√998,008 = [999; (285, 2, 3, 40, 2, 24, 5, 1, 3, 1, 1, 1, 2, 1, 7, 2, 6, 3, 1, 1, 3, 3, 1, 1, …)]

Representations

In words: nine hundred ninety-eight thousand eight
Ordinal: 998008th
Binary: 11110011101001111000
Octal: 3635170
Hexadecimal: 0xF3A78
Base64: Dzp4
One's complement: 4,293,969,287 (32-bit)
Scientific notation: 9.98008 × 10⁵
As a duration: 998,008 s = 11 days, 13 hours, 13 minutes, 28 seconds

In other bases

ternary (3) 1212201000021

quaternary (4) 3303221320

quinary (5) 223414013

senary (6) 33220224

septenary (7) 11324434

nonary (9) 1781007

undecimal (11) 621900

duodecimal (12) 401674

tridecimal (13) 28c34b

tetradecimal (14) 1bd9c4

pentadecimal (15) 14aa8d

As an angle

998,008° = 2,772 × 360° + 88°

88° ≈ 1.536 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηηʹ
Chinese: 九十九萬八千零八
Chinese (financial): 玖拾玖萬捌仟零捌

In other modern scripts

Eastern Arabic ٩٩٨٠٠٨ Devanagari ९९८००८ Bengali ৯৯৮০০৮ Tamil ௯௯௮௦௦௮ Thai ๙๙๘๐๐๘ Tibetan ༩༩༨༠༠༨ Khmer ៩៩៨០០៨ Lao ໙໙໘໐໐໘ Burmese ၉၉၈၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998008, here are decompositions:

17 + 997991 = 998008
47 + 997961 = 998008
59 + 997949 = 998008
131 + 997877 = 998008
197 + 997811 = 998008
239 + 997769 = 998008
257 + 997751 = 998008
269 + 997739 = 998008

Showing the first eight; more decompositions exist.

Hex color

#0F3A78

RGB(15, 58, 120)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.120.

Address: 0.15.58.120
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.120

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 998,008 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 US998,008 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998008 first appears in π at position 238,117 of the decimal expansion (the 238,117ordinal-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 998008 on Pi Search ↗