Live analysis

988,168

988,168 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.).

988,168 (nine hundred eighty-eight thousand one hundred sixty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 149 × 829. Written other ways, in hexadecimal, 0xF1408.

Deficient Number Flippable Happy Number Odious Number Pernicious Number Self Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,156 988,157 988,158 988,159 988,160 988,161 988,162 988,163 988,164 988,165 988,166 988,167 988,168 988,169 988,170 988,171 988,172 988,173 988,174 988,175 988,176 988,177 988,178 988,179 988,180

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 40
Digit product: 27,648
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 861,889
Flips to (rotate 180°): 891,886
Square (n²): 976,475,996,224
Cube (n³): 964,922,332,236,677,632
Divisor count: 16
σ(n) — sum of divisors: 1,867,500
φ(n) — Euler's totient: 490,176
Sum of prime factors: 984

Primality

Prime factorization: 2 ³ × 149 × 829

Nearest primes: 988,157 (−11) · 988,199 (+31)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 149 · 298 · 596 · 829 · 1192 · 1658 · 3316 · 6632 · 123521 · 247042 · 494084 (half) · 988168

Aliquot sum (sum of proper divisors): 879,332

Factor pairs (a × b = 988,168)

1 × 988168

2 × 494084

4 × 247042

8 × 123521

149 × 6632

298 × 3316

596 × 1658

829 × 1192

First multiples

988,168 · 1,976,336 (double) · 2,964,504 · 3,952,672 · 4,940,840 · 5,929,008 · 6,917,176 · 7,905,344 · 8,893,512 · 9,881,680

Sums & aliquot sequence

As a sum of two squares: 178² + 978² = 502² + 858²

As consecutive integers: 61,753 + 61,754 + … + 61,768 6,558 + 6,559 + … + 6,706 778 + 779 + … + 1,606

Aliquot sequence: 988,168 → 879,332 → 666,268 → 499,708 → 481,076 → 368,332 → 276,256 → 279,404 → 230,980 → 254,120 → 317,740 → 349,556 → 282,124 → 215,324 → 161,500 → 231,620 → 269,524 — unresolved within range

Continued fraction of √n

√988,168 = [994; (15, 16, 2, 1, 2, 1, 14, 2, 1, 220, 4, 2, 1, 4, 2, 1, 2, 1, 2, 12, 1, 1, 1, 2, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred sixty-eight
Ordinal: 988168th
Binary: 11110001010000001000
Octal: 3612010
Hexadecimal: 0xF1408
Base64: DxQI
One's complement: 4,293,979,127 (32-bit)
Scientific notation: 9.88168 × 10⁵
As a duration: 988,168 s = 11 days, 10 hours, 29 minutes, 28 seconds

In other bases

ternary (3) 1212012111211

quaternary (4) 3301100020

quinary (5) 223110133

senary (6) 33102504

septenary (7) 11253646

nonary (9) 1765454

undecimal (11) 615475

duodecimal (12) 3b7a34

tridecimal (13) 287a1c

tetradecimal (14) 1ba196

pentadecimal (15) 147bcd

As an angle

988,168° = 2,744 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρξηʹ
Chinese: 九十八萬八千一百六十八
Chinese (financial): 玖拾捌萬捌仟壹佰陸拾捌

In other modern scripts

Eastern Arabic ٩٨٨١٦٨ Devanagari ९८८१६८ Bengali ৯৮৮১৬৮ Tamil ௯௮௮௧௬௮ Thai ๙๘๘๑๖๘ Tibetan ༩༨༨༡༦༨ Khmer ៩៨៨១៦៨ Lao ໙໘໘໑໖໘ Burmese ၉၈၈၁၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988168, here are decompositions:

11 + 988157 = 988168
59 + 988109 = 988168
101 + 988067 = 988168
107 + 988061 = 988168
197 + 987971 = 988168
227 + 987941 = 988168
239 + 987929 = 988168
257 + 987911 = 988168

Showing the first eight; more decompositions exist.

Hex color

#0F1408

RGB(15, 20, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.8.

Address: 0.15.20.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.8

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 988,168 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 US988,168 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988168 first appears in π at position 630,520 of the decimal expansion (the 630,520ordinal-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 988168 on Pi Search ↗