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998,424

998,424 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.).

998,424 (nine hundred ninety-eight thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2³ × 3² × 7² × 283. Its proper divisors sum to 2,158,236, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C18.

Abundant Number Evil Number Happy Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
20,736
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
424,899
Square (n²)
996,850,483,776
Cube (n³)
995,279,447,413,569,024
Divisor count
72
σ(n) — sum of divisors
3,156,660
φ(n) — Euler's totient
284,256
Sum of prime factors
309

Primality

Prime factorization: 2 3 × 3 2 × 7 2 × 283

Nearest primes: 998,423 (−1) · 998,429 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 49 · 56 · 63 · 72 · 84 · 98 · 126 · 147 · 168 · 196 · 252 · 283 · 294 · 392 · 441 · 504 · 566 · 588 · 849 · 882 · 1132 · 1176 · 1698 · 1764 · 1981 · 2264 · 2547 · 3396 · 3528 · 3962 · 5094 · 5943 · 6792 · 7924 · 10188 · 11886 · 13867 · 15848 · 17829 · 20376 · 23772 · 27734 · 35658 · 41601 · 47544 · 55468 · 71316 · 83202 · 110936 · 124803 · 142632 · 166404 · 249606 · 332808 · 499212 (half) · 998424
Aliquot sum (sum of proper divisors): 2,158,236
Factor pairs (a × b = 998,424)
1 × 998424
2 × 499212
3 × 332808
4 × 249606
6 × 166404
7 × 142632
8 × 124803
9 × 110936
12 × 83202
14 × 71316
18 × 55468
21 × 47544
24 × 41601
28 × 35658
36 × 27734
42 × 23772
49 × 20376
56 × 17829
63 × 15848
72 × 13867
84 × 11886
98 × 10188
126 × 7924
147 × 6792
168 × 5943
196 × 5094
252 × 3962
283 × 3528
294 × 3396
392 × 2547
441 × 2264
504 × 1981
566 × 1764
588 × 1698
849 × 1176
882 × 1132
First multiples
998,424 · 1,996,848 (double) · 2,995,272 · 3,993,696 · 4,992,120 · 5,990,544 · 6,988,968 · 7,987,392 · 8,985,816 · 9,984,240

Sums & aliquot sequence

As consecutive integers: 332,807 + 332,808 + 332,809 142,629 + 142,630 + … + 142,635 110,932 + 110,933 + … + 110,940 62,394 + 62,395 + … + 62,409
Aliquot sequence: 998,424 2,158,236 3,297,396 4,396,556 3,297,424 3,702,128 3,638,920 4,833,680 7,379,824 6,918,616 6,131,384 7,147,336 8,442,734 4,642,642 2,624,174 1,874,434 958,154 — unresolved within range

Continued fraction of √n

√998,424 = [999; (4, 1, 2, 1, 1, 1, 1, 1, 4, 2, 10, 1, 1, 1, 6, 1, 1, 40, 4, 79, 1, 2, 4, 1, …)]

Representations

In words
nine hundred ninety-eight thousand four hundred twenty-four
Ordinal
998424th
Binary
11110011110000011000
Octal
3636030
Hexadecimal
0xF3C18
Base64
DzwY
One's complement
4,293,968,871 (32-bit)
Scientific notation
9.98424 × 10⁵
As a duration
998,424 s = 11 days, 13 hours, 20 minutes, 24 seconds
In other bases
ternary (3) 1212201120200
quaternary (4) 3303300120
quinary (5) 223422144
senary (6) 33222200
septenary (7) 11325600
nonary (9) 1781520
undecimal (11) 622149
duodecimal (12) 401960
tridecimal (13) 28c5ab
tetradecimal (14) 1bdc00
pentadecimal (15) 14ac69

As an angle

998,424° = 2,773 × 360° + 144°
144° ≈ 2.513 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηυκδʹ
Chinese
九十九萬八千四百二十四
Chinese (financial)
玖拾玖萬捌仟肆佰貳拾肆
In other modern scripts
Eastern Arabic ٩٩٨٤٢٤ Devanagari ९९८४२४ Bengali ৯৯৮৪২৪ Tamil ௯௯௮௪௨௪ Thai ๙๙๘๔๒๔ Tibetan ༩༩༨༤༢༤ Khmer ៩៩៨៤២៤ Lao ໙໙໘໔໒໔ Burmese ၉၉၈၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998424, here are decompositions:

  • 5 + 998419 = 998424
  • 13 + 998411 = 998424
  • 43 + 998381 = 998424
  • 47 + 998377 = 998424
  • 71 + 998353 = 998424
  • 113 + 998311 = 998424
  • 137 + 998287 = 998424
  • 151 + 998273 = 998424

Showing the first eight; more decompositions exist.

Hex color
#0F3C18
RGB(15, 60, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.24.

Address
0.15.60.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.24

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 998,424 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 998424 first appears in π at position 951,192 of the decimal expansion (the 951,192ordinal-suffix:nd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.