Live analysis

988,122

988,122 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.).

988,122 (nine hundred eighty-eight thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 37 × 4,451. Its proper divisors sum to 1,041,990, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF13DA.

Abundant Number Arithmetic Number Cube-Free Evil Number Self Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

988,110 988,111 988,112 988,113 988,114 988,115 988,116 988,117 988,118 988,119 988,120 988,121 988,122 988,123 988,124 988,125 988,126 988,127 988,128 988,129 988,130 988,131 988,132 988,133 988,134

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 2,304
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 221,889
Square (n²): 976,385,086,884
Cube (n³): 964,787,584,821,991,848
Divisor count: 16
σ(n) — sum of divisors: 2,030,112
φ(n) — Euler's totient: 320,400
Sum of prime factors: 4,493

Primality

Prime factorization: 2 × 3 × 37 × 4451

Nearest primes: 988,111 (−11) · 988,129 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 37 · 74 · 111 · 222 · 4451 · 8902 · 13353 · 26706 · 164687 · 329374 · 494061 (half) · 988122

Aliquot sum (sum of proper divisors): 1,041,990

Factor pairs (a × b = 988,122)

1 × 988122

2 × 494061

3 × 329374

6 × 164687

37 × 26706

74 × 13353

111 × 8902

222 × 4451

First multiples

988,122 · 1,976,244 (double) · 2,964,366 · 3,952,488 · 4,940,610 · 5,928,732 · 6,916,854 · 7,904,976 · 8,893,098 · 9,881,220

Sums & aliquot sequence

As consecutive integers: 329,373 + 329,374 + 329,375 247,029 + 247,030 + 247,031 + 247,032 82,338 + 82,339 + … + 82,349 26,688 + 26,689 + … + 26,724

Aliquot sequence: 988,122 → 1,041,990 → 1,515,450 → 2,243,238 → 2,277,642 → 2,277,654 → 2,312,106 → 2,312,118 → 2,941,002 → 3,668,598 → 4,687,722 → 6,959,862 → 11,962,314 → 20,710,326 → 30,996,042 → 49,680,822 → 51,556,218 — unresolved within range

Continued fraction of √n

√988,122 = [994; (23, 8, 1, 1, 3, 2, 8, 10, 1, 1, 3, 15, 2, 1, 2, 3, 27, 1, 2, 2, 1, 1, 2, 1, …)]

Representations

In words: nine hundred eighty-eight thousand one hundred twenty-two
Ordinal: 988122nd
Binary: 11110001001111011010
Octal: 3611732
Hexadecimal: 0xF13DA
Base64: DxPa
One's complement: 4,293,979,173 (32-bit)
Scientific notation: 9.88122 × 10⁵
As a duration: 988,122 s = 11 days, 10 hours, 28 minutes, 42 seconds

In other bases

ternary (3) 1212012110010

quaternary (4) 3301033122

quinary (5) 223104442

senary (6) 33102350

septenary (7) 11253552

nonary (9) 1765403

undecimal (11) 615433

duodecimal (12) 3b79b6

tridecimal (13) 2879b5

tetradecimal (14) 1ba162

pentadecimal (15) 147b9c

As an angle

988,122° = 2,744 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡπηρκβʹ
Chinese: 九十八萬八千一百二十二
Chinese (financial): 玖拾捌萬捌仟壹佰貳拾貳

In other modern scripts

Eastern Arabic ٩٨٨١٢٢ Devanagari ९८८१२२ Bengali ৯৮৮১২২ Tamil ௯௮௮௧௨௨ Thai ๙๘๘๑๒๒ Tibetan ༩༨༨༡༢༢ Khmer ៩៨៨១២២ Lao ໙໘໘໑໒໒ Burmese ၉၈၈၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988122, here are decompositions:

11 + 988111 = 988122
13 + 988109 = 988122
29 + 988093 = 988122
53 + 988069 = 988122
61 + 988061 = 988122
71 + 988051 = 988122
89 + 988033 = 988122
101 + 988021 = 988122

Showing the first eight; more decompositions exist.

Hex color

#0F13DA

RGB(15, 19, 218)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.218.

Address: 0.15.19.218
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.19.218

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 988,122 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 US988,122 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 988122 first appears in π at position 412,328 of the decimal expansion (the 412,328ordinal-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 988122 on Pi Search ↗