Live analysis

988,146

988,146 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.).

988,146 (nine hundred eighty-eight thousand one hundred forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 29 × 631. Its proper divisors sum to 1,287,054, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13F2.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

988,134 988,135 988,136 988,137 988,138 988,139 988,140 988,141 988,142 988,143 988,144 988,145 988,146 988,147 988,148 988,149 988,150 988,151 988,152 988,153 988,154 988,155 988,156 988,157 988,158

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: 641,889
Square (n²): 976,432,517,316
Cube (n³): 964,857,886,255,736,136
Divisor count: 32
σ(n) — sum of divisors: 2,275,200
φ(n) — Euler's totient: 317,520
Sum of prime factors: 671

Primality

Prime factorization: 2 × 3 ³ × 29 × 631

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

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 29 · 54 · 58 · 87 · 174 · 261 · 522 · 631 · 783 · 1262 · 1566 · 1893 · 3786 · 5679 · 11358 · 17037 · 18299 · 34074 · 36598 · 54897 · 109794 · 164691 · 329382 · 494073 (half) · 988146

Aliquot sum (sum of proper divisors): 1,287,054

Factor pairs (a × b = 988,146)

1 × 988146

2 × 494073

3 × 329382

6 × 164691

9 × 109794

18 × 54897

27 × 36598

29 × 34074

54 × 18299

58 × 17037

87 × 11358

174 × 5679

261 × 3786

522 × 1893

631 × 1566

783 × 1262

First multiples

988,146 · 1,976,292 (double) · 2,964,438 · 3,952,584 · 4,940,730 · 5,928,876 · 6,917,022 · 7,905,168 · 8,893,314 · 9,881,460

Sums & aliquot sequence

As consecutive integers: 329,381 + 329,382 + 329,383 247,035 + 247,036 + 247,037 + 247,038 109,790 + 109,791 + … + 109,798 82,340 + 82,341 + … + 82,351

Aliquot sequence: 988,146 → 1,287,054 → 1,501,602 → 1,501,614 → 1,751,922 → 2,141,358 → 2,141,370 → 5,047,110 → 9,210,042 → 10,745,088 → 19,571,520 → 49,922,880 → 160,754,880 → 439,384,128 → 724,708,032 → 1,293,677,568 → 2,585,923,746 — unresolved within range

Continued fraction of √n

√988,146 = [994; (18, 13, 1, 1, 1, 9, 3, 79, 4, 1, 17, 3, 1, 1, 1, 15, 1, 3, 1, 5, 1, 2, 3, 20, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred forty-six
Ordinal: 988146th
Binary: 11110001001111110010
Octal: 3611762
Hexadecimal: 0xF13F2
Base64: DxPy
One's complement: 4,293,979,149 (32-bit)
Scientific notation: 9.88146 × 10⁵
As a duration: 988,146 s = 11 days, 10 hours, 29 minutes, 6 seconds

In other bases

ternary (3) 1212012111000

quaternary (4) 3301033302

quinary (5) 223110041

senary (6) 33102430

septenary (7) 11253615

nonary (9) 1765430

undecimal (11) 615455

duodecimal (12) 3b7a16

tridecimal (13) 287a03

tetradecimal (14) 1ba17c

pentadecimal (15) 147bb6

As an angle

988,146° = 2,744 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡπηρμϛʹ
Chinese: 九十八萬八千一百四十六
Chinese (financial): 玖拾捌萬捌仟壹佰肆拾陸

In other modern scripts

Eastern Arabic ٩٨٨١٤٦ Devanagari ९८८१४६ Bengali ৯৮৮১৪৬ Tamil ௯௮௮௧௪௬ Thai ๙๘๘๑๔๖ Tibetan ༩༨༨༡༤༦ Khmer ៩៨៨១៤៦ Lao ໙໘໘໑໔໖ Burmese ၉၈၈၁၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988146, here are decompositions:

17 + 988129 = 988146
37 + 988109 = 988146
53 + 988093 = 988146
79 + 988067 = 988146
113 + 988033 = 988146
139 + 988007 = 988146
149 + 987997 = 988146
163 + 987983 = 988146

Showing the first eight; more decompositions exist.

Hex color

#0F13F2

RGB(15, 19, 242)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.242.

Address: 0.15.19.242
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.242

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 988,146 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 US988,146 on Google Patents ↗ Look up on USPTO ↗