Live analysis

988,134

988,134 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.).

988,134 (nine hundred eighty-eight thousand one hundred thirty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3 × 7² × 3,361. Its proper divisors sum to 1,311,474, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13E6.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

988,122 988,123 988,124 988,125 988,126 988,127 988,128 988,129 988,130 988,131 988,132 988,133 988,134 988,135 988,136 988,137 988,138 988,139 988,140 988,141 988,142 988,143 988,144 988,145 988,146

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 6,912
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 431,889
Square (n²): 976,408,801,956
Cube (n³): 964,822,735,111,990,104
Divisor count: 24
σ(n) — sum of divisors: 2,299,608
φ(n) — Euler's totient: 282,240
Sum of prime factors: 3,380

Primality

Prime factorization: 2 × 3 × 7 ² × 3361

Nearest primes: 988,129 (−5) · 988,147 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 49 · 98 · 147 · 294 · 3361 · 6722 · 10083 · 20166 · 23527 · 47054 · 70581 · 141162 · 164689 · 329378 · 494067 (half) · 988134

Aliquot sum (sum of proper divisors): 1,311,474

Factor pairs (a × b = 988,134)

1 × 988134

2 × 494067

3 × 329378

6 × 164689

7 × 141162

14 × 70581

21 × 47054

42 × 23527

49 × 20166

98 × 10083

147 × 6722

294 × 3361

First multiples

988,134 · 1,976,268 (double) · 2,964,402 · 3,952,536 · 4,940,670 · 5,928,804 · 6,916,938 · 7,905,072 · 8,893,206 · 9,881,340

Sums & aliquot sequence

As consecutive integers: 329,377 + 329,378 + 329,379 247,032 + 247,033 + 247,034 + 247,035 141,159 + 141,160 + … + 141,165 82,339 + 82,340 + … + 82,350

Aliquot sequence: 988,134 → 1,311,474 → 1,311,486 → 1,646,850 → 2,437,710 → 4,094,130 → 5,731,854 → 5,731,866 → 8,461,638 → 10,615,482 → 12,974,598 → 22,017,450 → 45,228,246 → 64,588,074 → 64,588,086 → 76,742,298 → 97,069,158 — unresolved within range

Continued fraction of √n

√988,134 = [994; (20, 3, 2, 40, 6, 1, 19, 2, 3, 40, 3, 2, 19, 1, 6, 40, 2, 3, 20, 1988)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand one hundred thirty-four
Ordinal: 988134th
Binary: 11110001001111100110
Octal: 3611746
Hexadecimal: 0xF13E6
Base64: DxPm
One's complement: 4,293,979,161 (32-bit)
Scientific notation: 9.88134 × 10⁵
As a duration: 988,134 s = 11 days, 10 hours, 28 minutes, 54 seconds

In other bases

ternary (3) 1212012110120

quaternary (4) 3301033212

quinary (5) 223110014

senary (6) 33102410

septenary (7) 11253600

nonary (9) 1765416

undecimal (11) 615444

duodecimal (12) 3b7a06

tridecimal (13) 2879c4

tetradecimal (14) 1ba170

pentadecimal (15) 147ba9

As an angle

988,134° = 2,744 × 360° + 294°

294° ≈ 5.131 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρλδʹ
Chinese: 九十八萬八千一百三十四
Chinese (financial): 玖拾捌萬捌仟壹佰參拾肆

In other modern scripts

Eastern Arabic ٩٨٨١٣٤ Devanagari ९८८१३४ Bengali ৯৮৮১৩৪ Tamil ௯௮௮௧௩௪ Thai ๙๘๘๑๓๔ Tibetan ༩༨༨༡༣༤ Khmer ៩៨៨១៣៤ Lao ໙໘໘໑໓໔ Burmese ၉၈၈၁၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988134, here are decompositions:

5 + 988129 = 988134
23 + 988111 = 988134
41 + 988093 = 988134
67 + 988067 = 988134
73 + 988061 = 988134
83 + 988051 = 988134
101 + 988033 = 988134
113 + 988021 = 988134

Showing the first eight; more decompositions exist.

Hex color

#0F13E6

RGB(15, 19, 230)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.230.

Address: 0.15.19.230
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.230

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 988,134 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 US988,134 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988134 first appears in π at position 151,867 of the decimal expansion (the 151,867ordinal-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 988134 on Pi Search ↗