Live analysis

998,022

998,022 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.).

998,022 (nine hundred ninety-eight thousand twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 41 × 4,057. Its proper divisors sum to 1,047,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A86.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,010 998,011 998,012 998,013 998,014 998,015 998,016 998,017 998,018 998,019 998,020 998,021 998,022 998,023 998,024 998,025 998,026 998,027 998,028 998,029 998,030 998,031 998,032 998,033 998,034

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 220,899
Square (n²): 996,047,912,484
Cube (n³): 994,077,729,713,106,648
Divisor count: 16
σ(n) — sum of divisors: 2,045,232
φ(n) — Euler's totient: 324,480
Sum of prime factors: 4,103

Primality

Prime factorization: 2 × 3 × 41 × 4057

Nearest primes: 998,017 (−5) · 998,027 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 41 · 82 · 123 · 246 · 4057 · 8114 · 12171 · 24342 · 166337 · 332674 · 499011 (half) · 998022

Aliquot sum (sum of proper divisors): 1,047,210

Factor pairs (a × b = 998,022)

1 × 998022

2 × 499011

3 × 332674

6 × 166337

41 × 24342

82 × 12171

123 × 8114

246 × 4057

First multiples

998,022 · 1,996,044 (double) · 2,994,066 · 3,992,088 · 4,990,110 · 5,988,132 · 6,986,154 · 7,984,176 · 8,982,198 · 9,980,220

Sums & aliquot sequence

As consecutive integers: 332,673 + 332,674 + 332,675 249,504 + 249,505 + 249,506 + 249,507 83,163 + 83,164 + … + 83,174 24,322 + 24,323 + … + 24,362

Aliquot sequence: 998,022 → 1,047,210 → 1,508,502 → 1,508,514 → 2,014,686 → 2,462,514 → 2,721,966 → 3,140,898 → 3,380,574 → 3,538,338 → 3,571,518 → 3,571,530 → 5,759,670 → 10,038,858 → 10,184,982 → 10,414,938 → 10,414,950 — unresolved within range

Continued fraction of √n

√998,022 = [999; (95, 6, 1, 39, 1, 11, 3, 1, 1, 5, 2, 1, 3, 1, 1, 1, 5, 2, 19, 1, 13, 47, 1, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand twenty-two
Ordinal: 998022nd
Binary: 11110011101010000110
Octal: 3635206
Hexadecimal: 0xF3A86
Base64: DzqG
One's complement: 4,293,969,273 (32-bit)
Scientific notation: 9.98022 × 10⁵
As a duration: 998,022 s = 11 days, 13 hours, 13 minutes, 42 seconds

In other bases

ternary (3) 1212201000210

quaternary (4) 3303222012

quinary (5) 223414042

senary (6) 33220250

septenary (7) 11324454

nonary (9) 1781023

undecimal (11) 621913

duodecimal (12) 401686

tridecimal (13) 28c35c

tetradecimal (14) 1bd9d4

pentadecimal (15) 14aa9c

As an angle

998,022° = 2,772 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηκβʹ
Chinese: 九十九萬八千零二十二
Chinese (financial): 玖拾玖萬捌仟零貳拾貳

In other modern scripts

Eastern Arabic ٩٩٨٠٢٢ Devanagari ९९८०२२ Bengali ৯৯৮০২২ Tamil ௯௯௮௦௨௨ Thai ๙๙๘๐๒๒ Tibetan ༩༩༨༠༢༢ Khmer ៩៩៨០២២ Lao ໙໙໘໐໒໒ Burmese ၉၉၈၀၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998022, here are decompositions:

5 + 998017 = 998022
13 + 998009 = 998022
31 + 997991 = 998022
59 + 997963 = 998022
61 + 997961 = 998022
73 + 997949 = 998022
89 + 997933 = 998022
131 + 997891 = 998022

Showing the first eight; more decompositions exist.

Hex color

#0F3A86

RGB(15, 58, 134)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.134.

Address: 0.15.58.134
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.134

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 998,022 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 US998,022 on Google Patents ↗ Look up on USPTO ↗