Live analysis

998,116

998,116 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.).

998,116 (nine hundred ninety-eight thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 43 × 829. Its proper divisors sum to 1,047,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AE4.

Abundant Number Cube-Free Evil Number Flippable Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,104 998,105 998,106 998,107 998,108 998,109 998,110 998,111 998,112 998,113 998,114 998,115 998,116 998,117 998,118 998,119 998,120 998,121 998,122 998,123 998,124 998,125 998,126 998,127 998,128

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 34
Digit product: 3,888
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 611,899
Flips to (rotate 180°): 911,866
Square (n²): 996,235,549,456
Cube (n³): 994,358,641,680,824,896
Divisor count: 24
σ(n) — sum of divisors: 2,045,120
φ(n) — Euler's totient: 417,312
Sum of prime factors: 883

Primality

Prime factorization: 2 ² × 7 × 43 × 829

Nearest primes: 998,111 (−5) · 998,117 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 43 · 86 · 172 · 301 · 602 · 829 · 1204 · 1658 · 3316 · 5803 · 11606 · 23212 · 35647 · 71294 · 142588 · 249529 · 499058 (half) · 998116

Aliquot sum (sum of proper divisors): 1,047,004

Factor pairs (a × b = 998,116)

1 × 998116

2 × 499058

4 × 249529

7 × 142588

14 × 71294

28 × 35647

43 × 23212

86 × 11606

172 × 5803

301 × 3316

602 × 1658

829 × 1204

First multiples

998,116 · 1,996,232 (double) · 2,994,348 · 3,992,464 · 4,990,580 · 5,988,696 · 6,986,812 · 7,984,928 · 8,983,044 · 9,981,160

Sums & aliquot sequence

As consecutive integers: 142,585 + 142,586 + … + 142,591 124,761 + 124,762 + … + 124,768 23,191 + 23,192 + … + 23,233 17,796 + 17,797 + … + 17,851

Aliquot sequence: 998,116 → 1,047,004 → 1,084,804 → 1,310,204 → 1,350,244 → 1,431,983 → 257,617 → 3,603 → 1,205 → 247 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√998,116 = [999; (17, 2, 1, 2, 26, 3, 1, 2, 1, 5, 17, 4, 1, 79, 8, 5, 1, 2, 665, 1, 2, 5, 2, 5, …)]

Representations

In words: nine hundred ninety-eight thousand one hundred sixteen
Ordinal: 998116th
Binary: 11110011101011100100
Octal: 3635344
Hexadecimal: 0xF3AE4
Base64: Dzrk
One's complement: 4,293,969,179 (32-bit)
Scientific notation: 9.98116 × 10⁵
As a duration: 998,116 s = 11 days, 13 hours, 15 minutes, 16 seconds

In other bases

ternary (3) 1212201011021

quaternary (4) 3303223210

quinary (5) 223414431

senary (6) 33220524

septenary (7) 11324650

nonary (9) 1781137

undecimal (11) 621999

duodecimal (12) 401744

tridecimal (13) 28c402

tetradecimal (14) 1bda60

pentadecimal (15) 14ab11

As an angle

998,116° = 2,772 × 360° + 196°

196° ≈ 3.421 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηριϛʹ
Chinese: 九十九萬八千一百一十六
Chinese (financial): 玖拾玖萬捌仟壹佰壹拾陸

In other modern scripts

Eastern Arabic ٩٩٨١١٦ Devanagari ९९८११६ Bengali ৯৯৮১১৬ Tamil ௯௯௮௧௧௬ Thai ๙๙๘๑๑๖ Tibetan ༩༩༨༡༡༦ Khmer ៩៩៨១១៦ Lao ໙໙໘໑໑໖ Burmese ၉၉၈၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998116, here are decompositions:

5 + 998111 = 998116
47 + 998069 = 998116
89 + 998027 = 998116
107 + 998009 = 998116
167 + 997949 = 998116
227 + 997889 = 998116
239 + 997877 = 998116
347 + 997769 = 998116

Showing the first eight; more decompositions exist.

Hex color

#0F3AE4

RGB(15, 58, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.228.

Address: 0.15.58.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.228

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 998,116 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 US998,116 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998116 first appears in π at position 7,760 of the decimal expansion (the 7,760ordinal-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 998116 on Pi Search ↗