Live analysis

988,264

988,264 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.).

988,264 (nine hundred eighty-eight thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 23 × 41 × 131. Its proper divisors sum to 1,007,576, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1468.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

988,252 988,253 988,254 988,255 988,256 988,257 988,258 988,259 988,260 988,261 988,262 988,263 988,264 988,265 988,266 988,267 988,268 988,269 988,270 988,271 988,272 988,273 988,274 988,275 988,276

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Properties

Parity: Even
Digit count: 6
Digit sum: 37
Digit product: 27,648
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 462,889
Square (n²): 976,665,733,696
Cube (n³): 965,203,584,645,343,744
Divisor count: 32
σ(n) — sum of divisors: 1,995,840
φ(n) — Euler's totient: 457,600
Sum of prime factors: 201

Primality

Prime factorization: 2 ³ × 23 × 41 × 131

Nearest primes: 988,243 (−21) · 988,271 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 23 · 41 · 46 · 82 · 92 · 131 · 164 · 184 · 262 · 328 · 524 · 943 · 1048 · 1886 · 3013 · 3772 · 5371 · 6026 · 7544 · 10742 · 12052 · 21484 · 24104 · 42968 · 123533 · 247066 · 494132 (half) · 988264

Aliquot sum (sum of proper divisors): 1,007,576

Factor pairs (a × b = 988,264)

1 × 988264

2 × 494132

4 × 247066

8 × 123533

23 × 42968

41 × 24104

46 × 21484

82 × 12052

92 × 10742

131 × 7544

164 × 6026

184 × 5371

262 × 3772

328 × 3013

524 × 1886

943 × 1048

First multiples

988,264 · 1,976,528 (double) · 2,964,792 · 3,953,056 · 4,941,320 · 5,929,584 · 6,917,848 · 7,906,112 · 8,894,376 · 9,882,640

Sums & aliquot sequence

As consecutive integers: 61,759 + 61,760 + … + 61,774 42,957 + 42,958 + … + 42,979 24,084 + 24,085 + … + 24,124 7,479 + 7,480 + … + 7,609

Aliquot sequence: 988,264 → 1,007,576 → 1,012,024 → 1,094,696 → 971,404 → 971,460 → 2,496,060 → 6,342,588 → 11,981,172 → 21,654,668 → 26,206,180 → 54,031,124 → 55,961,206 → 41,325,194 → 20,957,014 → 13,083,182 → 10,915,282 — unresolved within range

Continued fraction of √n

√988,264 = [994; (8, 1, 2, 1, 1, 3, 7, 1, 3, 2, 1, 12, 19, 4, 2, 5, 5, 2, 1, 18, 4, 48, 4, 18, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand two hundred sixty-four
Ordinal: 988264th
Binary: 11110001010001101000
Octal: 3612150
Hexadecimal: 0xF1468
Base64: DxRo
One's complement: 4,293,979,031 (32-bit)
Scientific notation: 9.88264 × 10⁵
As a duration: 988,264 s = 11 days, 10 hours, 31 minutes, 4 seconds

In other bases

ternary (3) 1212012122101

quaternary (4) 3301101220

quinary (5) 223111024

senary (6) 33103144

septenary (7) 11254144

nonary (9) 1765571

undecimal (11) 615552

duodecimal (12) 3b7ab4

tridecimal (13) 287a94

tetradecimal (14) 1ba224

pentadecimal (15) 147c44

As an angle

988,264° = 2,745 × 360° + 64°

64° ≈ 1.117 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπησξδʹ
Chinese: 九十八萬八千二百六十四
Chinese (financial): 玖拾捌萬捌仟貳佰陸拾肆

In other modern scripts

Eastern Arabic ٩٨٨٢٦٤ Devanagari ९८८२६४ Bengali ৯৮৮২৬৪ Tamil ௯௮௮௨௬௪ Thai ๙๘๘๒๖๔ Tibetan ༩༨༨༢༦༤ Khmer ៩៨៨២៦៤ Lao ໙໘໘໒໖໔ Burmese ၉၈၈၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988264, here are decompositions:

47 + 988217 = 988264
107 + 988157 = 988264
197 + 988067 = 988264
257 + 988007 = 988264
281 + 987983 = 988264
293 + 987971 = 988264
353 + 987911 = 988264
443 + 987821 = 988264

Showing the first eight; more decompositions exist.

Hex color

#0F1468

RGB(15, 20, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.104.

Address: 0.15.20.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.20.104

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 988,264 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 US988,264 on Google Patents ↗ Look up on USPTO ↗