Live analysis

998,138

998,138 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.).

998,138 (nine hundred ninety-eight thousand one hundred thirty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 17 × 31 × 947. Written other ways, in hexadecimal, 0xF3AFA.

Arithmetic Number Cube-Free Deficient Number Evil Number Squarefree

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,126 998,127 998,128 998,129 998,130 998,131 998,132 998,133 998,134 998,135 998,136 998,137 998,138 998,139 998,140 998,141 998,142 998,143 998,144 998,145 998,146 998,147 998,148 998,149 998,150

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 38
Digit product: 15,552
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 831,899
Square (n²): 996,279,467,044
Cube (n³): 994,424,394,676,364,072
Divisor count: 16
σ(n) — sum of divisors: 1,638,144
φ(n) — Euler's totient: 454,080
Sum of prime factors: 997

Primality

Prime factorization: 2 × 17 × 31 × 947

Nearest primes: 998,117 (−21) · 998,147 (+9)

Divisors & multiples

All divisors (16)

1 · 2 · 17 · 31 · 34 · 62 · 527 · 947 · 1054 · 1894 · 16099 · 29357 · 32198 · 58714 · 499069 (half) · 998138

Aliquot sum (sum of proper divisors): 640,006

Factor pairs (a × b = 998,138)

1 × 998138

2 × 499069

17 × 58714

31 × 32198

34 × 29357

62 × 16099

527 × 1894

947 × 1054

First multiples

998,138 · 1,996,276 (double) · 2,994,414 · 3,992,552 · 4,990,690 · 5,988,828 · 6,986,966 · 7,985,104 · 8,983,242 · 9,981,380

Sums & aliquot sequence

As consecutive integers: 249,533 + 249,534 + 249,535 + 249,536 58,706 + 58,707 + … + 58,722 32,183 + 32,184 + … + 32,213 14,645 + 14,646 + … + 14,712

Aliquot sequence: 998,138 → 640,006 → 330,194 → 182,266 → 137,990 → 110,410 → 92,702 → 46,354 → 43,934 → 27,994 → 14,000 → 24,688 → 23,176 → 20,294 → 10,786 → 5,396 → 4,684 — unresolved within range

Continued fraction of √n

√998,138 = [999; (14, 1, 1, 2, 2, 5, 1, 5, 1, 1, 12, 2, 3, 2, 1, 1, 1, 9, 3, 1, 4, 6, 18, 1, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred thirty-eight
Ordinal: 998138th
Binary: 11110011101011111010
Octal: 3635372
Hexadecimal: 0xF3AFA
Base64: Dzr6
One's complement: 4,293,969,157 (32-bit)
Scientific notation: 9.98138 × 10⁵
As a duration: 998,138 s = 11 days, 13 hours, 15 minutes, 38 seconds

In other bases

ternary (3) 1212201012002

quaternary (4) 3303223322

quinary (5) 223420023

senary (6) 33221002

septenary (7) 11325011

nonary (9) 1781162

undecimal (11) 621a09

duodecimal (12) 401762

tridecimal (13) 28c41b

tetradecimal (14) 1bda78

pentadecimal (15) 14ab28

As an angle

998,138° = 2,772 × 360° + 218°

218° ≈ 3.805 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηρληʹ
Chinese: 九十九萬八千一百三十八
Chinese (financial): 玖拾玖萬捌仟壹佰參拾捌

In other modern scripts

Eastern Arabic ٩٩٨١٣٨ Devanagari ९९८१३८ Bengali ৯৯৮১৩৮ Tamil ௯௯௮௧௩௮ Thai ๙๙๘๑๓๘ Tibetan ༩༩༨༡༣༨ Khmer ៩៩៨១៣៨ Lao ໙໙໘໑໓໘ Burmese ၉၉၈၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998138, here are decompositions:

61 + 998077 = 998138
67 + 998071 = 998138
109 + 998029 = 998138
241 + 997897 = 998138
331 + 997807 = 998138
397 + 997741 = 998138
439 + 997699 = 998138
457 + 997681 = 998138

Showing the first eight; more decompositions exist.

Hex color

#0F3AFA

RGB(15, 58, 250)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.250.

Address: 0.15.58.250
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.250

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 998,138 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 US998,138 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998138 first appears in π at position 599,419 of the decimal expansion (the 599,419ordinal-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 998138 on Pi Search ↗