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998,634

998,634 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.).

998,634 (nine hundred ninety-eight thousand six hundred thirty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2 × 3 × 7 × 13 × 31 × 59. Its proper divisors sum to 1,581,846, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3CEA.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
39
Digit product
46,656
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
436,899
Square (n²)
997,269,865,956
Cube (n³)
995,907,595,319,104,104
Divisor count
64
σ(n) — sum of divisors
2,580,480
φ(n) — Euler's totient
250,560
Sum of prime factors
115

Primality

Prime factorization: 2 × 3 × 7 × 13 × 31 × 59

Nearest primes: 998,633 (−1) · 998,651 (+17)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 21 · 26 · 31 · 39 · 42 · 59 · 62 · 78 · 91 · 93 · 118 · 177 · 182 · 186 · 217 · 273 · 354 · 403 · 413 · 434 · 546 · 651 · 767 · 806 · 826 · 1209 · 1239 · 1302 · 1534 · 1829 · 2301 · 2418 · 2478 · 2821 · 3658 · 4602 · 5369 · 5487 · 5642 · 8463 · 10738 · 10974 · 12803 · 16107 · 16926 · 23777 · 25606 · 32214 · 38409 · 47554 · 71331 · 76818 · 142662 · 166439 · 332878 · 499317 (half) · 998634
Aliquot sum (sum of proper divisors): 1,581,846
Factor pairs (a × b = 998,634)
1 × 998634
2 × 499317
3 × 332878
6 × 166439
7 × 142662
13 × 76818
14 × 71331
21 × 47554
26 × 38409
31 × 32214
39 × 25606
42 × 23777
59 × 16926
62 × 16107
78 × 12803
91 × 10974
93 × 10738
118 × 8463
177 × 5642
182 × 5487
186 × 5369
217 × 4602
273 × 3658
354 × 2821
403 × 2478
413 × 2418
434 × 2301
546 × 1829
651 × 1534
767 × 1302
806 × 1239
826 × 1209
First multiples
998,634 · 1,997,268 (double) · 2,995,902 · 3,994,536 · 4,993,170 · 5,991,804 · 6,990,438 · 7,989,072 · 8,987,706 · 9,986,340

Sums & aliquot sequence

As consecutive integers: 332,877 + 332,878 + 332,879 249,657 + 249,658 + 249,659 + 249,660 142,659 + 142,660 + … + 142,665 83,214 + 83,215 + … + 83,225
Aliquot sequence: 998,634 1,581,846 2,033,898 2,052,822 2,079,978 2,148,918 2,148,930 4,472,190 8,332,290 13,331,898 16,447,302 19,188,558 22,386,690 36,109,566 42,127,866 57,949,254 79,022,178 — unresolved within range

Continued fraction of √n

√998,634 = [999; (3, 6, 2, 1, 2, 10, 2, 1, 2, 6, 3, 1998)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand six hundred thirty-four
Ordinal
998634th
Binary
11110011110011101010
Octal
3636352
Hexadecimal
0xF3CEA
Base64
Dzzq
One's complement
4,293,968,661 (32-bit)
Scientific notation
9.98634 × 10⁵
As a duration
998,634 s = 11 days, 13 hours, 23 minutes, 54 seconds
In other bases
ternary (3) 1212201212110
quaternary (4) 3303303222
quinary (5) 223424014
senary (6) 33223150
septenary (7) 11326320
nonary (9) 1781773
undecimal (11) 62231a
duodecimal (12) 401ab6
tridecimal (13) 28c710
tetradecimal (14) 1bdd10
pentadecimal (15) 14ad59

As an angle

998,634° = 2,773 × 360° + 354°
354° ≈ 6.178 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηχλδʹ
Chinese
九十九萬八千六百三十四
Chinese (financial)
玖拾玖萬捌仟陸佰參拾肆
In other modern scripts
Eastern Arabic ٩٩٨٦٣٤ Devanagari ९९८६३४ Bengali ৯৯৮৬৩৪ Tamil ௯௯௮௬௩௪ Thai ๙๙๘๖๓๔ Tibetan ༩༩༨༦༣༤ Khmer ៩៩៨៦៣៤ Lao ໙໙໘໖໓໔ Burmese ၉၉၈၆၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998634, here are decompositions:

  • 5 + 998629 = 998634
  • 11 + 998623 = 998634
  • 17 + 998617 = 998634
  • 73 + 998561 = 998634
  • 83 + 998551 = 998634
  • 97 + 998537 = 998634
  • 107 + 998527 = 998634
  • 137 + 998497 = 998634

Showing the first eight; more decompositions exist.

Hex color
#0F3CEA
RGB(15, 60, 234)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.234.

Address
0.15.60.234
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.234

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 998,634 and was likely granted around 1911.

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

Related reading

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