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998,514

998,514 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.).

998,514 (nine hundred ninety-eight thousand five hundred fourteen) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3³ × 11 × 41². Its proper divisors sum to 1,482,606, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3C72.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
12,960
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
415,899
Square (n²)
997,030,208,196
Cube (n³)
995,548,621,306,620,744
Divisor count
48
σ(n) — sum of divisors
2,481,120
φ(n) — Euler's totient
295,200
Sum of prime factors
104

Primality

Prime factorization: 2 × 3 3 × 11 × 41 2

Nearest primes: 998,513 (−1) · 998,527 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 11 · 18 · 22 · 27 · 33 · 41 · 54 · 66 · 82 · 99 · 123 · 198 · 246 · 297 · 369 · 451 · 594 · 738 · 902 · 1107 · 1353 · 1681 · 2214 · 2706 · 3362 · 4059 · 5043 · 8118 · 10086 · 12177 · 15129 · 18491 · 24354 · 30258 · 36982 · 45387 · 55473 · 90774 · 110946 · 166419 · 332838 · 499257 (half) · 998514
Aliquot sum (sum of proper divisors): 1,482,606
Factor pairs (a × b = 998,514)
1 × 998514
2 × 499257
3 × 332838
6 × 166419
9 × 110946
11 × 90774
18 × 55473
22 × 45387
27 × 36982
33 × 30258
41 × 24354
54 × 18491
66 × 15129
82 × 12177
99 × 10086
123 × 8118
198 × 5043
246 × 4059
297 × 3362
369 × 2706
451 × 2214
594 × 1681
738 × 1353
902 × 1107
First multiples
998,514 · 1,997,028 (double) · 2,995,542 · 3,994,056 · 4,992,570 · 5,991,084 · 6,989,598 · 7,988,112 · 8,986,626 · 9,985,140

Sums & aliquot sequence

As consecutive integers: 332,837 + 332,838 + 332,839 249,627 + 249,628 + 249,629 + 249,630 110,942 + 110,943 + … + 110,950 90,769 + 90,770 + … + 90,779
Aliquot sequence: 998,514 1,482,606 1,834,578 2,140,380 5,407,524 8,261,586 9,638,556 13,627,764 21,998,750 19,238,050 21,587,462 14,097,418 7,048,712 7,483,768 7,112,792 6,508,168 5,810,312 — unresolved within range

Continued fraction of √n

√998,514 = [999; (3, 1, 8, 1, 1, 5, 110, 1, 5, 1, 1, 3, 1, 1, 3, 2, 1, 221, 2, 1, 3, 4, 2, 1, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand five hundred fourteen
Ordinal
998514th
Binary
11110011110001110010
Octal
3636162
Hexadecimal
0xF3C72
Base64
Dzxy
One's complement
4,293,968,781 (32-bit)
Scientific notation
9.98514 × 10⁵
As a duration
998,514 s = 11 days, 13 hours, 21 minutes, 54 seconds
In other bases
ternary (3) 1212201201000
quaternary (4) 3303301302
quinary (5) 223423024
senary (6) 33222430
septenary (7) 11326056
nonary (9) 1781630
undecimal (11) 622220
duodecimal (12) 401a16
tridecimal (13) 28c64a
tetradecimal (14) 1bdc66
pentadecimal (15) 14acc9

As an angle

998,514° = 2,773 × 360° + 234°
234° ≈ 4.084 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηφιδʹ
Chinese
九十九萬八千五百一十四
Chinese (financial)
玖拾玖萬捌仟伍佰壹拾肆
In other modern scripts
Eastern Arabic ٩٩٨٥١٤ Devanagari ९९८५१४ Bengali ৯৯৮৫১৪ Tamil ௯௯௮௫௧௪ Thai ๙๙๘๕๑๔ Tibetan ༩༩༨༥༡༤ Khmer ៩៩៨៥១៤ Lao ໙໙໘໕໑໔ Burmese ၉၉၈၅၁၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998514, here are decompositions:

  • 17 + 998497 = 998514
  • 43 + 998471 = 998514
  • 71 + 998443 = 998514
  • 103 + 998411 = 998514
  • 137 + 998377 = 998514
  • 227 + 998287 = 998514
  • 233 + 998281 = 998514
  • 241 + 998273 = 998514

Showing the first eight; more decompositions exist.

Hex color
#0F3C72
RGB(15, 60, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.60.114.

Address
0.15.60.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.60.114

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 998,514 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 998514 first appears in π at position 255,656 of the decimal expansion (the 255,656ordinal-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°.