Live analysis

998,442

998,442 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.).

998,442 (nine hundred ninety-eight thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,469. Its proper divisors sum to 1,164,888, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C2A.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,430 998,431 998,432 998,433 998,434 998,435 998,436 998,437 998,438 998,439 998,440 998,441 998,442 998,443 998,444 998,445 998,446 998,447 998,448 998,449 998,450 998,451 998,452 998,453 998,454

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Properties

Parity: Even
Digit count: 6
Digit sum: 36
Digit product: 20,736
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 244,899
Square (n²): 996,886,427,364
Cube (n³): 995,333,278,310,166,888
Divisor count: 12
σ(n) — sum of divisors: 2,163,330
φ(n) — Euler's totient: 332,808
Sum of prime factors: 55,477

Primality

Prime factorization: 2 × 3 ² × 55469

Nearest primes: 998,429 (−13) · 998,443 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55469 · 110938 · 166407 · 332814 · 499221 (half) · 998442

Aliquot sum (sum of proper divisors): 1,164,888

Factor pairs (a × b = 998,442)

1 × 998442

2 × 499221

3 × 332814

6 × 166407

9 × 110938

18 × 55469

First multiples

998,442 · 1,996,884 (double) · 2,995,326 · 3,993,768 · 4,992,210 · 5,990,652 · 6,989,094 · 7,987,536 · 8,985,978 · 9,984,420

Sums & aliquot sequence

As a sum of two squares: 21² + 999²

As consecutive integers: 332,813 + 332,814 + 332,815 249,609 + 249,610 + 249,611 + 249,612 110,934 + 110,935 + … + 110,942 83,198 + 83,199 + … + 83,209

Aliquot sequence: 998,442 → 1,164,888 → 2,071,512 → 3,539,028 → 4,718,732 → 3,554,428 → 3,092,324 → 2,319,250 → 2,022,854 → 1,171,186 → 585,596 → 532,444 → 484,124 → 370,660 → 427,676 → 345,124 → 305,400 — unresolved within range

Continued fraction of √n

√998,442 = [999; (4, 1, 1, 7, 1, 1, 6, 1, 1, 2, 1, 1, 2, 4, 1, 1, 6, 1, 1, 1, 3, 7, 9, 1, …)]

Representations

In words: nine hundred ninety-eight thousand four hundred forty-two
Ordinal: 998442nd
Binary: 11110011110000101010
Octal: 3636052
Hexadecimal: 0xF3C2A
Base64: Dzwq
One's complement: 4,293,968,853 (32-bit)
Scientific notation: 9.98442 × 10⁵
As a duration: 998,442 s = 11 days, 13 hours, 20 minutes, 42 seconds

In other bases

ternary (3) 1212201121100

quaternary (4) 3303300222

quinary (5) 223422232

senary (6) 33222230

septenary (7) 11325624

nonary (9) 1781540

undecimal (11) 622165

duodecimal (12) 401976

tridecimal (13) 28c5c3

tetradecimal (14) 1bdc14

pentadecimal (15) 14ac7c

As an angle

998,442° = 2,773 × 360° + 162°

162° ≈ 2.827 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ϡϟηυμβʹ
Chinese: 九十九萬八千四百四十二
Chinese (financial): 玖拾玖萬捌仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ٩٩٨٤٤٢ Devanagari ९९८४४२ Bengali ৯৯৮৪৪২ Tamil ௯௯௮௪௪௨ Thai ๙๙๘๔๔๒ Tibetan ༩༩༨༤༤༢ Khmer ៩៩៨៤៤២ Lao ໙໙໘໔໔໒ Burmese ၉၉၈၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998442, here are decompositions:

13 + 998429 = 998442
19 + 998423 = 998442
23 + 998419 = 998442
31 + 998411 = 998442
43 + 998399 = 998442
61 + 998381 = 998442
89 + 998353 = 998442
113 + 998329 = 998442

Showing the first eight; more decompositions exist.

Hex color

#0F3C2A

RGB(15, 60, 42)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.42.

Address: 0.15.60.42
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.60.42

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 998,442 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 US998,442 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 998442 first appears in π at position 283,566 of the decimal expansion (the 283,566ordinal-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 998442 on Pi Search ↗