Live analysis

491,988

491,988 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.).

491,988 (four hundred ninety-one thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 5,857. Its proper divisors sum to 820,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x781D4.

Abundant Number Cube-Free Odious Number Semiperfect Number Smith Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

491,976 491,977 491,978 491,979 491,980 491,981 491,982 491,983 491,984 491,985 491,986 491,987 491,988 491,989 491,990 491,991 491,992 491,993 491,994 491,995 491,996 491,997 491,998 491,999 492,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 20,736
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 889,194
Square (n²): 242,052,192,144
Cube (n³): 119,086,773,908,542,272
Divisor count: 24
σ(n) — sum of divisors: 1,312,192
φ(n) — Euler's totient: 140,544
Sum of prime factors: 5,871

Primality

Prime factorization: 2 ² × 3 × 7 × 5857

Nearest primes: 491,983 (−5) · 492,007 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 5857 · 11714 · 17571 · 23428 · 35142 · 40999 · 70284 · 81998 · 122997 · 163996 · 245994 (half) · 491988

Aliquot sum (sum of proper divisors): 820,204

Factor pairs (a × b = 491,988)

1 × 491988

2 × 245994

3 × 163996

4 × 122997

6 × 81998

7 × 70284

12 × 40999

14 × 35142

21 × 23428

28 × 17571

42 × 11714

84 × 5857

First multiples

491,988 · 983,976 (double) · 1,475,964 · 1,967,952 · 2,459,940 · 2,951,928 · 3,443,916 · 3,935,904 · 4,427,892 · 4,919,880

Sums & aliquot sequence

As consecutive integers: 163,995 + 163,996 + 163,997 70,281 + 70,282 + … + 70,287 61,495 + 61,496 + … + 61,502 23,418 + 23,419 + … + 23,438

Aliquot sequence: 491,988 → 820,204 → 970,004 → 1,029,910 → 1,088,906 → 996,982 → 869,258 → 558,742 → 320,378 → 185,542 → 144,218 → 72,112 → 67,636 → 54,192 → 85,928 → 82,552 → 81,608 — unresolved within range

Continued fraction of √n

√491,988 = [701; (2, 2, 1, 1, 3, 12, 1, 1, 2, 4, 23, 1, 1, 4, 1, 1, 4, 7, 20, 2, 28, 1, 2, 1, …)]

Representations

In words: four hundred ninety-one thousand nine hundred eighty-eight
Ordinal: 491988th
Binary: 1111000000111010100
Octal: 1700724
Hexadecimal: 0x781D4
Base64: B4HU
One's complement: 4,294,475,307 (32-bit)
Scientific notation: 4.91988 × 10⁵
As a duration: 491,988 s = 5 days, 16 hours, 39 minutes, 48 seconds

In other bases

ternary (3) 220222212210

quaternary (4) 1320013110

quinary (5) 111220423

senary (6) 14313420

septenary (7) 4116240

nonary (9) 828783

undecimal (11) 306702

duodecimal (12) 1b8870

tridecimal (13) 142c23

tetradecimal (14) cb420

pentadecimal (15) 9ab93

As an angle

491,988° = 1,366 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υϟαϡπηʹ
Chinese: 四十九萬一千九百八十八
Chinese (financial): 肆拾玖萬壹仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ٤٩١٩٨٨ Devanagari ४९१९८८ Bengali ৪৯১৯৮৮ Tamil ௪௯௧௯௮௮ Thai ๔๙๑๙๘๘ Tibetan ༤༩༡༩༨༨ Khmer ៤៩១៩៨៨ Lao ໔໙໑໙໘໘ Burmese ၄၉၁၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 491988, here are decompositions:

5 + 491983 = 491988
11 + 491977 = 491988
19 + 491969 = 491988
37 + 491951 = 491988
89 + 491899 = 491988
131 + 491857 = 491988
137 + 491851 = 491988
151 + 491837 = 491988

Showing the first eight; more decompositions exist.

Hex color

#0781D4

RGB(7, 129, 212)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.129.212.

Address: 0.7.129.212
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.129.212

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 491,988 and was likely granted around 1893.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US491,988 on Google Patents ↗ Look up on USPTO ↗