Live analysis

998,724

998,724 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.).

998,724 (nine hundred ninety-eight thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,227. Its proper divisors sum to 1,331,660, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3D44.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

998,712 998,713 998,714 998,715 998,716 998,717 998,718 998,719 998,720 998,721 998,722 998,723 998,724 998,725 998,726 998,727 998,728 998,729 998,730 998,731 998,732 998,733 998,734 998,735 998,736

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Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 36,288
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 427,899
Square (n²): 997,449,628,176
Cube (n³): 996,176,882,450,447,424
Divisor count: 12
σ(n) — sum of divisors: 2,330,384
φ(n) — Euler's totient: 332,904
Sum of prime factors: 83,234

Primality

Prime factorization: 2 ² × 3 × 83227

Nearest primes: 998,717 (−7) · 998,737 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83227 · 166454 · 249681 · 332908 · 499362 (half) · 998724

Aliquot sum (sum of proper divisors): 1,331,660

Factor pairs (a × b = 998,724)

1 × 998724

2 × 499362

3 × 332908

4 × 249681

6 × 166454

12 × 83227

First multiples

998,724 · 1,997,448 (double) · 2,996,172 · 3,994,896 · 4,993,620 · 5,992,344 · 6,991,068 · 7,989,792 · 8,988,516 · 9,987,240

Sums & aliquot sequence

As consecutive integers: 332,907 + 332,908 + 332,909 124,837 + 124,838 + … + 124,844 41,602 + 41,603 + … + 41,625

Aliquot sequence: 998,724 → 1,331,660 → 1,719,556 → 1,289,674 → 644,840 → 1,083,160 → 1,542,680 → 1,928,440 → 2,531,240 → 3,164,140 → 4,541,012 → 4,619,692 → 5,686,100 → 8,417,164 → 8,811,124 → 8,978,956 → 9,624,020 — unresolved within range

Continued fraction of √n

√998,724 = [999; (2, 1, 3, 4, 4, 1, 1, 3, 23, 1, 3, 1, 86, 9, 1, 2, 1, 4, 1, 1, 1, 1, 2, 12, …)]

Representations

In words: nine hundred ninety-eight thousand seven hundred twenty-four
Ordinal: 998724th
Binary: 11110011110101000100
Octal: 3636504
Hexadecimal: 0xF3D44
Base64: Dz1E
One's complement: 4,293,968,571 (32-bit)
Scientific notation: 9.98724 × 10⁵
As a duration: 998,724 s = 11 days, 13 hours, 25 minutes, 24 seconds

In other bases

ternary (3) 1212201222210

quaternary (4) 3303311010

quinary (5) 223424344

senary (6) 33223420

septenary (7) 11326506

nonary (9) 1781883

undecimal (11) 6223a1

duodecimal (12) 401b70

tridecimal (13) 28c77c

tetradecimal (14) 1bdd76

pentadecimal (15) 14adb9

As an angle

998,724° = 2,774 × 360° + 84°

84° ≈ 1.466 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ϡϟηψκδʹ
Chinese: 九十九萬八千七百二十四
Chinese (financial): 玖拾玖萬捌仟柒佰貳拾肆

In other modern scripts

Eastern Arabic ٩٩٨٧٢٤ Devanagari ९९८७२४ Bengali ৯৯৮৭২৪ Tamil ௯௯௮௭௨௪ Thai ๙๙๘๗๒๔ Tibetan ༩༩༨༧༢༤ Khmer ៩៩៨៧២៤ Lao ໙໙໘໗໒໔ Burmese ၉၉၈၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998724, here are decompositions:

7 + 998717 = 998724
37 + 998687 = 998724
43 + 998681 = 998724
71 + 998653 = 998724
73 + 998651 = 998724
101 + 998623 = 998724
107 + 998617 = 998724
163 + 998561 = 998724

Showing the first eight; more decompositions exist.

Hex color

#0F3D44

RGB(15, 61, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.68.

Address: 0.15.61.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.61.68

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 998,724 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 US998,724 on Google Patents ↗ Look up on USPTO ↗