Live analysis

997,998

997,998 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.).

997,998 (nine hundred ninety-seven thousand nine hundred ninety-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 47 × 3,539. Its proper divisors sum to 1,041,042, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A6E.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

997,986 997,987 997,988 997,989 997,990 997,991 997,992 997,993 997,994 997,995 997,996 997,997 997,998 997,999 998,000 998,001 998,002 998,003 998,004 998,005 998,006 998,007 998,008 998,009 998,010

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 51
Digit product: 367,416
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 899,799
Square (n²): 996,000,008,004
Cube (n³): 994,006,015,987,975,992
Divisor count: 16
σ(n) — sum of divisors: 2,039,040
φ(n) — Euler's totient: 325,496
Sum of prime factors: 3,591

Primality

Prime factorization: 2 × 3 × 47 × 3539

Nearest primes: 997,991 (−7) · 998,009 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 47 · 94 · 141 · 282 · 3539 · 7078 · 10617 · 21234 · 166333 · 332666 · 498999 (half) · 997998

Aliquot sum (sum of proper divisors): 1,041,042

Factor pairs (a × b = 997,998)

1 × 997998

2 × 498999

3 × 332666

6 × 166333

47 × 21234

94 × 10617

141 × 7078

282 × 3539

First multiples

997,998 · 1,995,996 (double) · 2,993,994 · 3,991,992 · 4,989,990 · 5,987,988 · 6,985,986 · 7,983,984 · 8,981,982 · 9,979,980

Sums & aliquot sequence

As consecutive integers: 332,665 + 332,666 + 332,667 249,498 + 249,499 + 249,500 + 249,501 83,161 + 83,162 + … + 83,172 21,211 + 21,212 + … + 21,257

Aliquot sequence: 997,998 → 1,041,042 → 1,193,838 → 1,370,514 → 1,370,526 → 1,370,538 → 1,827,930 → 3,050,790 → 4,271,178 → 4,566,102 → 4,599,210 → 9,343,446 → 12,118,314 → 17,922,966 → 19,809,834 → 23,411,766 → 30,100,938 — unresolved within range

Continued fraction of √n

√997,998 = [998; (1, 664, 1, 1996)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-seven thousand nine hundred ninety-eight
Ordinal: 997998th
Binary: 11110011101001101110
Octal: 3635156
Hexadecimal: 0xF3A6E
Base64: Dzpu
One's complement: 4,293,969,297 (32-bit)
Scientific notation: 9.97998 × 10⁵
As a duration: 997,998 s = 11 days, 13 hours, 13 minutes, 18 seconds

In other bases

ternary (3) 1212200222220

quaternary (4) 3303221232

quinary (5) 223413443

senary (6) 33220210

septenary (7) 11324421

nonary (9) 1780886

undecimal (11) 6218a1

duodecimal (12) 401666

tridecimal (13) 28c341

tetradecimal (14) 1bd9b8

pentadecimal (15) 14aa83

As an angle

997,998° = 2,772 × 360° + 78°

78° ≈ 1.361 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟζϡϟηʹ
Chinese: 九十九萬七千九百九十八
Chinese (financial): 玖拾玖萬柒仟玖佰玖拾捌

In other modern scripts

Eastern Arabic ٩٩٧٩٩٨ Devanagari ९९७९९८ Bengali ৯৯৭৯৯৮ Tamil ௯௯௭௯௯௮ Thai ๙๙๗๙๙๘ Tibetan ༩༩༧༩༩༨ Khmer ៩៩៧៩៩៨ Lao ໙໙໗໙໙໘ Burmese ၉၉၇၉၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 997998, here are decompositions:

7 + 997991 = 997998
37 + 997961 = 997998
101 + 997897 = 997998
107 + 997891 = 997998
109 + 997889 = 997998
191 + 997807 = 997998
229 + 997769 = 997998
257 + 997741 = 997998

Showing the first eight; more decompositions exist.

Hex color

#0F3A6E

RGB(15, 58, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.110.

Address: 0.15.58.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.110

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 997,998 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 US997,998 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 997998 first appears in π at position 187,022 of the decimal expansion (the 187,022ordinal-suffix:nd 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 997998 on Pi Search ↗