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998,064

998,064 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.).

998,064 (nine hundred ninety-eight thousand sixty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 29 × 239. Its proper divisors sum to 1,903,536, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3AB0.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
460,899
Square (n²)
996,131,748,096
Cube (n³)
994,203,237,031,686,144
Divisor count
60
σ(n) — sum of divisors
2,901,600
φ(n) — Euler's totient
319,872
Sum of prime factors
282

Primality

Prime factorization: 2 4 × 3 2 × 29 × 239

Nearest primes: 998,029 (−35) · 998,069 (+5)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 29 · 36 · 48 · 58 · 72 · 87 · 116 · 144 · 174 · 232 · 239 · 261 · 348 · 464 · 478 · 522 · 696 · 717 · 956 · 1044 · 1392 · 1434 · 1912 · 2088 · 2151 · 2868 · 3824 · 4176 · 4302 · 5736 · 6931 · 8604 · 11472 · 13862 · 17208 · 20793 · 27724 · 34416 · 41586 · 55448 · 62379 · 83172 · 110896 · 124758 · 166344 · 249516 · 332688 · 499032 (half) · 998064
Aliquot sum (sum of proper divisors): 1,903,536
Factor pairs (a × b = 998,064)
1 × 998064
2 × 499032
3 × 332688
4 × 249516
6 × 166344
8 × 124758
9 × 110896
12 × 83172
16 × 62379
18 × 55448
24 × 41586
29 × 34416
36 × 27724
48 × 20793
58 × 17208
72 × 13862
87 × 11472
116 × 8604
144 × 6931
174 × 5736
232 × 4302
239 × 4176
261 × 3824
348 × 2868
464 × 2151
478 × 2088
522 × 1912
696 × 1434
717 × 1392
956 × 1044
First multiples
998,064 · 1,996,128 (double) · 2,994,192 · 3,992,256 · 4,990,320 · 5,988,384 · 6,986,448 · 7,984,512 · 8,982,576 · 9,980,640

Sums & aliquot sequence

As consecutive integers: 332,687 + 332,688 + 332,689 110,892 + 110,893 + … + 110,900 34,402 + 34,403 + … + 34,430 31,174 + 31,175 + … + 31,205
Aliquot sequence: 998,064 1,903,536 3,424,124 3,228,676 2,935,244 2,718,964 2,039,230 1,692,674 854,266 705,254 448,834 282,974 144,754 74,234 37,120 54,860 69,796 — unresolved within range

Continued fraction of √n

√998,064 = [999; (31, 1, 2, 1, 1, 40, 4, 1, 7, 1, 1, 1, 86, 4, 1, 1, 3, 79, 1, 1, 1, 3, 1, 2, …)]

Representations

In words
nine hundred ninety-eight thousand sixty-four
Ordinal
998064th
Binary
11110011101010110000
Octal
3635260
Hexadecimal
0xF3AB0
Base64
Dzqw
One's complement
4,293,969,231 (32-bit)
Scientific notation
9.98064 × 10⁵
As a duration
998,064 s = 11 days, 13 hours, 14 minutes, 24 seconds
In other bases
ternary (3) 1212201002100
quaternary (4) 3303222300
quinary (5) 223414224
senary (6) 33220400
septenary (7) 11324544
nonary (9) 1781070
undecimal (11) 621951
duodecimal (12) 401700
tridecimal (13) 28c392
tetradecimal (14) 1bda24
pentadecimal (15) 14aac9

As an angle

998,064° = 2,772 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηξδʹ
Chinese
九十九萬八千零六十四
Chinese (financial)
玖拾玖萬捌仟零陸拾肆
In other modern scripts
Eastern Arabic ٩٩٨٠٦٤ Devanagari ९९८०६४ Bengali ৯৯৮০৬৪ Tamil ௯௯௮௦௬௪ Thai ๙๙๘๐๖๔ Tibetan ༩༩༨༠༦༤ Khmer ៩៩៨០៦៤ Lao ໙໙໘໐໖໔ Burmese ၉၉၈၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998064, here are decompositions:

  • 37 + 998027 = 998064
  • 47 + 998017 = 998064
  • 73 + 997991 = 998064
  • 101 + 997963 = 998064
  • 103 + 997961 = 998064
  • 131 + 997933 = 998064
  • 167 + 997897 = 998064
  • 173 + 997891 = 998064

Showing the first eight; more decompositions exist.

Hex color
#0F3AB0
RGB(15, 58, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.58.176.

Address
0.15.58.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.58.176

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 998,064 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 998064 first appears in π at position 222,711 of the decimal expansion (the 222,711ordinal-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.

Related reading

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