Live analysis

988,164

988,164 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.).

988,164 (nine hundred eighty-eight thousand one hundred sixty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,449. Its proper divisors sum to 1,509,786, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1404.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Moran Number Odious Number Pernicious Number Refactorable Number Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

988,152 988,153 988,154 988,155 988,156 988,157 988,158 988,159 988,160 988,161 988,162 988,163 988,164 988,165 988,166 988,167 988,168 988,169 988,170 988,171 988,172 988,173 988,174 988,175 988,176

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 13,824
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 461,889
Square (n²): 976,468,090,896
Cube (n³): 964,910,614,572,154,944
Divisor count: 18
σ(n) — sum of divisors: 2,497,950
φ(n) — Euler's totient: 329,376
Sum of prime factors: 27,459

Primality

Prime factorization: 2 ² × 3 ² × 27449

Nearest primes: 988,157 (−7) · 988,199 (+35)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27449 · 54898 · 82347 · 109796 · 164694 · 247041 · 329388 · 494082 (half) · 988164

Aliquot sum (sum of proper divisors): 1,509,786

Factor pairs (a × b = 988,164)

1 × 988164

2 × 494082

3 × 329388

4 × 247041

6 × 164694

9 × 109796

12 × 82347

18 × 54898

36 × 27449

First multiples

988,164 · 1,976,328 (double) · 2,964,492 · 3,952,656 · 4,940,820 · 5,928,984 · 6,917,148 · 7,905,312 · 8,893,476 · 9,881,640

Sums & aliquot sequence

As a sum of two squares: 258² + 960²

As consecutive integers: 329,387 + 329,388 + 329,389 123,517 + 123,518 + … + 123,524 109,792 + 109,793 + … + 109,800 41,162 + 41,163 + … + 41,185

Aliquot sequence: 988,164 → 1,509,786 → 1,900,134 → 2,216,862 → 2,797,698 → 2,797,710 → 3,916,866 → 3,916,878 → 5,103,282 → 5,432,910 → 9,856,434 → 12,889,806 → 12,889,818 → 15,104,538 → 17,943,750 → 36,896,490 → 59,034,618 — unresolved within range

Continued fraction of √n

√988,164 = [994; (15, 1, 1, 7, 2, 1, 2, 8, 1, 1, 1, 39, 1, 11, 2, 4, 1, 1, 5, 1, 1, 1, 27, 2, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred sixty-four
Ordinal: 988164th
Binary: 11110001010000000100
Octal: 3612004
Hexadecimal: 0xF1404
Base64: DxQE
One's complement: 4,293,979,131 (32-bit)
Scientific notation: 9.88164 × 10⁵
As a duration: 988,164 s = 11 days, 10 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 1212012111200

quaternary (4) 3301100010

quinary (5) 223110124

senary (6) 33102500

septenary (7) 11253642

nonary (9) 1765450

undecimal (11) 615471

duodecimal (12) 3b7a30

tridecimal (13) 287a18

tetradecimal (14) 1ba192

pentadecimal (15) 147bc9

As an angle

988,164° = 2,744 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρξδʹ
Chinese: 九十八萬八千一百六十四
Chinese (financial): 玖拾捌萬捌仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ٩٨٨١٦٤ Devanagari ९८८१६४ Bengali ৯৮৮১৬৪ Tamil ௯௮௮௧௬௪ Thai ๙๘๘๑๖๔ Tibetan ༩༨༨༡༦༤ Khmer ៩៨៨១៦៤ Lao ໙໘໘໑໖໔ Burmese ၉၈၈၁၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988164, here are decompositions:

7 + 988157 = 988164
17 + 988147 = 988164
53 + 988111 = 988164
71 + 988093 = 988164
97 + 988067 = 988164
103 + 988061 = 988164
113 + 988051 = 988164
131 + 988033 = 988164

Showing the first eight; more decompositions exist.

Hex color

#0F1404

RGB(15, 20, 4)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.4.

Address: 0.15.20.4
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.4

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 988,164 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 US988,164 on Google Patents ↗ Look up on USPTO ↗