Live analysis

998,010

998,010 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.).

998,010 (nine hundred ninety-eight thousand ten) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 5 × 13 × 853. Its proper divisors sum to 1,799,694, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3A7A.

Abundant Number Cube-Free Flippable Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

997,998 997,999 998,000 998,001 998,002 998,003 998,004 998,005 998,006 998,007 998,008 998,009 998,010 998,011 998,012 998,013 998,014 998,015 998,016 998,017 998,018 998,019 998,020 998,021 998,022

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 10,899
Flips to (rotate 180°): 10,866
Square (n²): 996,023,960,100
Cube (n³): 994,041,872,419,401,000
Divisor count: 48
σ(n) — sum of divisors: 2,797,704
φ(n) — Euler's totient: 245,376
Sum of prime factors: 879

Primality

Prime factorization: 2 × 3 ² × 5 × 13 × 853

Nearest primes: 998,009 (−1) · 998,017 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 13 · 15 · 18 · 26 · 30 · 39 · 45 · 65 · 78 · 90 · 117 · 130 · 195 · 234 · 390 · 585 · 853 · 1170 · 1706 · 2559 · 4265 · 5118 · 7677 · 8530 · 11089 · 12795 · 15354 · 22178 · 25590 · 33267 · 38385 · 55445 · 66534 · 76770 · 99801 · 110890 · 166335 · 199602 · 332670 · 499005 (half) · 998010

Aliquot sum (sum of proper divisors): 1,799,694

Factor pairs (a × b = 998,010)

1 × 998010

2 × 499005

3 × 332670

5 × 199602

6 × 166335

9 × 110890

10 × 99801

13 × 76770

15 × 66534

18 × 55445

26 × 38385

30 × 33267

39 × 25590

45 × 22178

65 × 15354

78 × 12795

90 × 11089

117 × 8530

130 × 7677

195 × 5118

234 × 4265

390 × 2559

585 × 1706

853 × 1170

First multiples

998,010 · 1,996,020 (double) · 2,994,030 · 3,992,040 · 4,990,050 · 5,988,060 · 6,986,070 · 7,984,080 · 8,982,090 · 9,980,100

Sums & aliquot sequence

As a sum of two squares: 3² + 999² = 243² + 969² = 387² + 921² = 597² + 801²

As consecutive integers: 332,669 + 332,670 + 332,671 249,501 + 249,502 + 249,503 + 249,504 199,600 + 199,601 + 199,602 + 199,603 + 199,604 110,886 + 110,887 + … + 110,894

Aliquot sequence: 998,010 → 1,799,694 → 2,400,138 → 3,397,302 → 4,353,474 → 4,353,486 → 4,732,338 → 5,549,262 → 5,549,274 → 6,474,192 → 10,831,248 → 19,481,606 → 9,836,914 → 5,850,086 → 3,887,194 → 1,943,600 → 2,876,776 — unresolved within range

Continued fraction of √n

√998,010 = [999; (222, 1998)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand ten
Ordinal: 998010th
Binary: 11110011101001111010
Octal: 3635172
Hexadecimal: 0xF3A7A
Base64: Dzp6
One's complement: 4,293,969,285 (32-bit)
Scientific notation: 9.9801 × 10⁵
As a duration: 998,010 s = 11 days, 13 hours, 13 minutes, 30 seconds

In other bases

ternary (3) 1212201000100

quaternary (4) 3303221322

quinary (5) 223414020

senary (6) 33220230

septenary (7) 11324436

nonary (9) 1781010

undecimal (11) 621902

duodecimal (12) 401676

tridecimal (13) 28c350

tetradecimal (14) 1bd9c6

pentadecimal (15) 14aa90

As an angle

998,010° = 2,772 × 360° + 90°

90° ≈ 1.571 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆
Greek (Milesian): ͵ϡϟηιʹ
Chinese: 九十九萬八千零一十
Chinese (financial): 玖拾玖萬捌仟零壹拾

In other modern scripts

Eastern Arabic ٩٩٨٠١٠ Devanagari ९९८०१० Bengali ৯৯৮০১০ Tamil ௯௯௮௦௧௦ Thai ๙๙๘๐๑๐ Tibetan ༩༩༨༠༡༠ Khmer ៩៩៨០១០ Lao ໙໙໘໐໑໐ Burmese ၉၉၈၀၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998010, here are decompositions:

19 + 997991 = 998010
37 + 997973 = 998010
47 + 997963 = 998010
61 + 997949 = 998010
113 + 997897 = 998010
131 + 997879 = 998010
197 + 997813 = 998010
199 + 997811 = 998010

Showing the first eight; more decompositions exist.

Hex color

#0F3A7A

RGB(15, 58, 122)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.122.

Address: 0.15.58.122
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.58.122

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 998,010 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 US998,010 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998010 first appears in π at position 762,273 of the decimal expansion (the 762,273ordinal-suffix:rd 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 998010 on Pi Search ↗