Live analysis

998,322

998,322 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.).

998,322 (nine hundred ninety-eight thousand three hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 13 × 12,799. Its proper divisors sum to 1,152,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BB2.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

998,310 998,311 998,312 998,313 998,314 998,315 998,316 998,317 998,318 998,319 998,320 998,321 998,322 998,323 998,324 998,325 998,326 998,327 998,328 998,329 998,330 998,331 998,332 998,333 998,334

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 7,776
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 223,899
Square (n²): 996,646,815,684
Cube (n³): 994,974,442,327,282,248
Divisor count: 16
σ(n) — sum of divisors: 2,150,400
φ(n) — Euler's totient: 307,152
Sum of prime factors: 12,817

Primality

Prime factorization: 2 × 3 × 13 × 12799

Nearest primes: 998,311 (−11) · 998,329 (+7)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 12799 · 25598 · 38397 · 76794 · 166387 · 332774 · 499161 (half) · 998322

Aliquot sum (sum of proper divisors): 1,152,078

Factor pairs (a × b = 998,322)

1 × 998322

2 × 499161

3 × 332774

6 × 166387

13 × 76794

26 × 38397

39 × 25598

78 × 12799

First multiples

998,322 · 1,996,644 (double) · 2,994,966 · 3,993,288 · 4,991,610 · 5,989,932 · 6,988,254 · 7,986,576 · 8,984,898 · 9,983,220

Sums & aliquot sequence

As consecutive integers: 332,773 + 332,774 + 332,775 249,579 + 249,580 + 249,581 + 249,582 83,188 + 83,189 + … + 83,199 76,788 + 76,789 + … + 76,800

Aliquot sequence: 998,322 → 1,152,078 → 1,152,090 → 2,113,830 → 3,523,770 → 6,199,110 → 9,918,810 → 18,992,358 → 33,303,834 → 39,303,558 → 65,827,962 → 78,215,418 → 96,719,238 → 176,114,682 → 216,622,278 → 259,339,338 → 312,088,662 — unresolved within range

Continued fraction of √n

√998,322 = [999; (6, 4, 2, 4, 2, 1, 8, 3, 4, 1, 3, 4, 3, 2, 4, 1, 2, 1, 9, 1, 1, 3, 2, 20, …)]

Representations

In words: nine hundred ninety-eight thousand three hundred twenty-two
Ordinal: 998322nd
Binary: 11110011101110110010
Octal: 3635662
Hexadecimal: 0xF3BB2
Base64: Dzuy
One's complement: 4,293,968,973 (32-bit)
Scientific notation: 9.98322 × 10⁵
As a duration: 998,322 s = 11 days, 13 hours, 18 minutes, 42 seconds

In other bases

ternary (3) 1212201102220

quaternary (4) 3303232302

quinary (5) 223421242

senary (6) 33221510

septenary (7) 11325363

nonary (9) 1781386

undecimal (11) 622066

duodecimal (12) 401896

tridecimal (13) 28c530

tetradecimal (14) 1bdb6a

pentadecimal (15) 14abec

As an angle

998,322° = 2,773 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟητκβʹ
Chinese: 九十九萬八千三百二十二
Chinese (financial): 玖拾玖萬捌仟參佰貳拾貳

In other modern scripts

Eastern Arabic ٩٩٨٣٢٢ Devanagari ९९८३२२ Bengali ৯৯৮৩২২ Tamil ௯௯௮௩௨௨ Thai ๙๙๘๓๒๒ Tibetan ༩༩༨༣༢༢ Khmer ៩៩៨៣២២ Lao ໙໙໘໓໒໒ Burmese ၉၉၈၃၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998322, here are decompositions:

11 + 998311 = 998322
41 + 998281 = 998322
79 + 998243 = 998322
103 + 998219 = 998322
109 + 998213 = 998322
211 + 998111 = 998322
239 + 998083 = 998322
251 + 998071 = 998322

Showing the first eight; more decompositions exist.

Hex color

#0F3BB2

RGB(15, 59, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.178.

Address: 0.15.59.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.59.178

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 998,322 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 US998,322 on Google Patents ↗ Look up on USPTO ↗