Live analysis

988,130

988,130 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.).

988,130 (nine hundred eighty-eight thousand one hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 13 × 691. Its proper divisors sum to 1,104,478, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13E2.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Smith Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

988,118 988,119 988,120 988,121 988,122 988,123 988,124 988,125 988,126 988,127 988,128 988,129 988,130 988,131 988,132 988,133 988,134 988,135 988,136 988,137 988,138 988,139 988,140 988,141 988,142

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 31,889
Square (n²): 976,400,896,900
Cube (n³): 964,811,018,253,797,000
Divisor count: 32
σ(n) — sum of divisors: 2,092,608
φ(n) — Euler's totient: 331,200
Sum of prime factors: 722

Primality

Prime factorization: 2 × 5 × 11 × 13 × 691

Nearest primes: 988,129 (−1) · 988,147 (+17)

Divisors & multiples

All divisors (32)

1 · 2 · 5 · 10 · 11 · 13 · 22 · 26 · 55 · 65 · 110 · 130 · 143 · 286 · 691 · 715 · 1382 · 1430 · 3455 · 6910 · 7601 · 8983 · 15202 · 17966 · 38005 · 44915 · 76010 · 89830 · 98813 · 197626 · 494065 (half) · 988130

Aliquot sum (sum of proper divisors): 1,104,478

Factor pairs (a × b = 988,130)

1 × 988130

2 × 494065

5 × 197626

10 × 98813

11 × 89830

13 × 76010

22 × 44915

26 × 38005

55 × 17966

65 × 15202

110 × 8983

130 × 7601

143 × 6910

286 × 3455

691 × 1430

715 × 1382

First multiples

988,130 · 1,976,260 (double) · 2,964,390 · 3,952,520 · 4,940,650 · 5,928,780 · 6,916,910 · 7,905,040 · 8,893,170 · 9,881,300

Sums & aliquot sequence

As consecutive integers: 247,031 + 247,032 + 247,033 + 247,034 197,624 + 197,625 + 197,626 + 197,627 + 197,628 89,825 + 89,826 + … + 89,835 76,004 + 76,005 + … + 76,016

Aliquot sequence: 988,130 → 1,104,478 → 552,242 → 279,358 → 157,970 → 126,394 → 63,200 → 93,040 → 123,464 → 144,376 → 126,344 → 124,756 → 93,574 → 62,666 → 31,336 → 27,434 → 20,086 — unresolved within range

Continued fraction of √n

√988,130 = [994; (21, 6, 1, 2, 4, 9, 3, 1, 1, 5, 1, 4, 1, 1, 1, 14, 1, 1, 1, 4, 1, 5, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: nine hundred eighty-eight thousand one hundred thirty
Ordinal: 988130th
Binary: 11110001001111100010
Octal: 3611742
Hexadecimal: 0xF13E2
Base64: DxPi
One's complement: 4,293,979,165 (32-bit)
Scientific notation: 9.8813 × 10⁵
As a duration: 988,130 s = 11 days, 10 hours, 28 minutes, 50 seconds

In other bases

ternary (3) 1212012110102

quaternary (4) 3301033202

quinary (5) 223110010

senary (6) 33102402

septenary (7) 11253563

nonary (9) 1765412

undecimal (11) 615440

duodecimal (12) 3b7a02

tridecimal (13) 2879c0

tetradecimal (14) 1ba16a

pentadecimal (15) 147ba5

As an angle

988,130° = 2,744 × 360° + 290°

290° ≈ 5.061 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

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

In other modern scripts

Eastern Arabic ٩٨٨١٣٠ Devanagari ९८८१३० Bengali ৯৮৮১৩০ Tamil ௯௮௮௧௩௦ Thai ๙๘๘๑๓๐ Tibetan ༩༨༨༡༣༠ Khmer ៩៨៨១៣០ Lao ໙໘໘໑໓໐ Burmese ၉၈၈၁၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988130, here are decompositions:

19 + 988111 = 988130
37 + 988093 = 988130
61 + 988069 = 988130
79 + 988051 = 988130
97 + 988033 = 988130
109 + 988021 = 988130
139 + 987991 = 988130
151 + 987979 = 988130

Showing the first eight; more decompositions exist.

Hex color

#0F13E2

RGB(15, 19, 226)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.226.

Address: 0.15.19.226
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.226

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 988,130 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 US988,130 on Google Patents ↗ Look up on USPTO ↗