Live analysis

998,964

998,964 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.).

998,964 (nine hundred ninety-eight thousand nine hundred sixty-four) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 27,749. Its proper divisors sum to 1,526,286, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3E34.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,952 998,953 998,954 998,955 998,956 998,957 998,958 998,959 998,960 998,961 998,962 998,963 998,964 998,965 998,966 998,967 998,968 998,969 998,970 998,971 998,972 998,973 998,974 998,975 998,976

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 45
Digit product: 139,968
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 469,899
Square (n²): 997,929,073,296
Cube (n³): 996,895,218,776,065,344
Divisor count: 18
σ(n) — sum of divisors: 2,525,250
φ(n) — Euler's totient: 332,976
Sum of prime factors: 27,759

Primality

Prime factorization: 2 ² × 3 ² × 27749

Nearest primes: 998,957 (−7) · 998,969 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 27749 · 55498 · 83247 · 110996 · 166494 · 249741 · 332988 · 499482 (half) · 998964

Aliquot sum (sum of proper divisors): 1,526,286

Factor pairs (a × b = 998,964)

1 × 998964

2 × 499482

3 × 332988

4 × 249741

6 × 166494

9 × 110996

12 × 83247

18 × 55498

36 × 27749

First multiples

998,964 · 1,997,928 (double) · 2,996,892 · 3,995,856 · 4,994,820 · 5,993,784 · 6,992,748 · 7,991,712 · 8,990,676 · 9,989,640

Sums & aliquot sequence

As a sum of two squares: 492² + 870²

As consecutive integers: 332,987 + 332,988 + 332,989 124,867 + 124,868 + … + 124,874 110,992 + 110,993 + … + 111,000 41,612 + 41,613 + … + 41,635

Aliquot sequence: 998,964 → 1,526,286 → 1,551,858 → 2,318,862 → 3,616,242 → 4,937,358 → 4,937,370 → 7,296,870 → 12,717,978 → 18,589,158 → 30,172,698 → 35,201,520 → 89,195,280 → 189,519,024 → 301,096,896 → 495,555,816 → 963,252,024 — unresolved within range

Continued fraction of √n

√998,964 = [999; (2, 13, 3, 2, 55, 10, 2, 1, 18, 222, 18, 1, 2, 10, 55, 2, 3, 13, 2, 1998)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: nine hundred ninety-eight thousand nine hundred sixty-four
Ordinal: 998964th
Binary: 11110011111000110100
Octal: 3637064
Hexadecimal: 0xF3E34
Base64: Dz40
One's complement: 4,293,968,331 (32-bit)
Scientific notation: 9.98964 × 10⁵
As a duration: 998,964 s = 11 days, 13 hours, 29 minutes, 24 seconds

In other bases

ternary (3) 1212202022200

quaternary (4) 3303320310

quinary (5) 223431324

senary (6) 33224500

septenary (7) 11330301

nonary (9) 1782280

undecimal (11) 62259a

duodecimal (12) 402130

tridecimal (13) 28c905

tetradecimal (14) 1c00a8

pentadecimal (15) 14aec9

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηϡξδʹ
Chinese: 九十九萬八千九百六十四
Chinese (financial): 玖拾玖萬捌仟玖佰陸拾肆

In other modern scripts

Eastern Arabic ٩٩٨٩٦٤ Devanagari ९९८९६४ Bengali ৯৯৮৯৬৪ Tamil ௯௯௮௯௬௪ Thai ๙๙๘๙๖๔ Tibetan ༩༩༨༩༦༤ Khmer ៩៩៨៩៦៤ Lao ໙໙໘໙໖໔ Burmese ၉၉၈၉၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998964, here are decompositions:

7 + 998957 = 998964
13 + 998951 = 998964
17 + 998947 = 998964
23 + 998941 = 998964
37 + 998927 = 998964
47 + 998917 = 998964
67 + 998897 = 998964
103 + 998861 = 998964

Showing the first eight; more decompositions exist.

Hex color

#0F3E34

RGB(15, 62, 52)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.62.52.

Address: 0.15.62.52
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.62.52

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 998,964 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 US998,964 on Google Patents ↗ Look up on USPTO ↗