Live analysis

988,422

988,422 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.).

988,422 (nine hundred eighty-eight thousand four hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 257 × 641. Its proper divisors sum to 999,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1506.

Abundant Number Arithmetic Number Cube-Free Odious Number Semiperfect Number Squarefree

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

988,410 988,411 988,412 988,413 988,414 988,415 988,416 988,417 988,418 988,419 988,420 988,421 988,422 988,423 988,424 988,425 988,426 988,427 988,428 988,429 988,430 988,431 988,432 988,433 988,434

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 9,216
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 224,889
Square (n²): 976,978,050,084
Cube (n³): 965,666,598,220,127,448
Divisor count: 16
σ(n) — sum of divisors: 1,987,632
φ(n) — Euler's totient: 327,680
Sum of prime factors: 903

Primality

Prime factorization: 2 × 3 × 257 × 641

Nearest primes: 988,417 (−5) · 988,439 (+17)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 257 · 514 · 641 · 771 · 1282 · 1542 · 1923 · 3846 · 164737 · 329474 · 494211 (half) · 988422

Aliquot sum (sum of proper divisors): 999,210

Factor pairs (a × b = 988,422)

1 × 988422

2 × 494211

3 × 329474

6 × 164737

257 × 3846

514 × 1923

641 × 1542

771 × 1282

First multiples

988,422 · 1,976,844 (double) · 2,965,266 · 3,953,688 · 4,942,110 · 5,930,532 · 6,918,954 · 7,907,376 · 8,895,798 · 9,884,220

Sums & aliquot sequence

As consecutive integers: 329,473 + 329,474 + 329,475 247,104 + 247,105 + 247,106 + 247,107 82,363 + 82,364 + … + 82,374 3,718 + 3,719 + … + 3,974

Aliquot sequence: 988,422 → 999,210 → 1,526,550 → 2,259,666 → 2,742,318 → 3,283,650 → 5,539,632 → 10,816,464 → 17,126,192 → 16,866,424 → 14,801,696 → 25,042,528 → 32,312,924 → 32,312,980 → 45,238,508 → 45,238,564 → 52,278,632 — unresolved within range

Continued fraction of √n

√988,422 = [994; (5, 6, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 19, 1, 11, 1, 1, 4, 13, 1, 7, 2, …)]

Representations

In words: nine hundred eighty-eight thousand four hundred twenty-two
Ordinal: 988422nd
Binary: 11110001010100000110
Octal: 3612406
Hexadecimal: 0xF1506
Base64: DxUG
One's complement: 4,293,978,873 (32-bit)
Scientific notation: 9.88422 × 10⁵
As a duration: 988,422 s = 11 days, 10 hours, 33 minutes, 42 seconds

In other bases

ternary (3) 1212012212020

quaternary (4) 3301110012

quinary (5) 223112142

senary (6) 33104010

septenary (7) 11254461

nonary (9) 1765766

undecimal (11) 615686

duodecimal (12) 3b8006

tridecimal (13) 287b86

tetradecimal (14) 1ba2d8

pentadecimal (15) 147cec

As an angle

988,422° = 2,745 × 360° + 222°

222° ≈ 3.875 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡπηυκβʹ
Chinese: 九十八萬八千四百二十二
Chinese (financial): 玖拾捌萬捌仟肆佰貳拾貳

In other modern scripts

Eastern Arabic ٩٨٨٤٢٢ Devanagari ९८८४२२ Bengali ৯৮৮৪২২ Tamil ௯௮௮௪௨௨ Thai ๙๘๘๔๒๒ Tibetan ༩༨༨༤༢༢ Khmer ៩៨៨៤២២ Lao ໙໘໘໔໒໒ Burmese ၉၈၈၄၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988422, here are decompositions:

5 + 988417 = 988422
13 + 988409 = 988422
79 + 988343 = 988422
101 + 988321 = 988422
103 + 988319 = 988422
109 + 988313 = 988422
151 + 988271 = 988422
179 + 988243 = 988422

Showing the first eight; more decompositions exist.

Hex color

#0F1506

RGB(15, 21, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.21.6.

Address: 0.15.21.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.21.6

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 988,422 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 US988,422 on Google Patents ↗ Look up on USPTO ↗