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998,816

998,816 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.).

998,816 (nine hundred ninety-eight thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁵ × 7⁴ × 13. Its proper divisors sum to 1,471,666, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3DA0.

Abundant Number Flippable Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
41
Digit product
31,104
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
618,899
Flips to (rotate 180°)
918,866
Square (n²)
997,633,401,856
Cube (n³)
996,452,203,908,202,496
Divisor count
60
σ(n) — sum of divisors
2,470,482
φ(n) — Euler's totient
395,136
Sum of prime factors
51

Primality

Prime factorization: 2 5 × 7 4 × 13

Nearest primes: 998,813 (−3) · 998,819 (+3)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 49 · 52 · 56 · 91 · 98 · 104 · 112 · 182 · 196 · 208 · 224 · 343 · 364 · 392 · 416 · 637 · 686 · 728 · 784 · 1274 · 1372 · 1456 · 1568 · 2401 · 2548 · 2744 · 2912 · 4459 · 4802 · 5096 · 5488 · 8918 · 9604 · 10192 · 10976 · 17836 · 19208 · 20384 · 31213 · 35672 · 38416 · 62426 · 71344 · 76832 · 124852 · 142688 · 249704 · 499408 (half) · 998816
Aliquot sum (sum of proper divisors): 1,471,666
Factor pairs (a × b = 998,816)
1 × 998816
2 × 499408
4 × 249704
7 × 142688
8 × 124852
13 × 76832
14 × 71344
16 × 62426
26 × 38416
28 × 35672
32 × 31213
49 × 20384
52 × 19208
56 × 17836
91 × 10976
98 × 10192
104 × 9604
112 × 8918
182 × 5488
196 × 5096
208 × 4802
224 × 4459
343 × 2912
364 × 2744
392 × 2548
416 × 2401
637 × 1568
686 × 1456
728 × 1372
784 × 1274
First multiples
998,816 · 1,997,632 (double) · 2,996,448 · 3,995,264 · 4,994,080 · 5,992,896 · 6,991,712 · 7,990,528 · 8,989,344 · 9,988,160

Sums & aliquot sequence

As a sum of two squares: 196² + 980²
As consecutive integers: 142,685 + 142,686 + … + 142,691 76,826 + 76,827 + … + 76,838 20,360 + 20,361 + … + 20,408 15,575 + 15,576 + … + 15,638
Aliquot sequence: 998,816 1,471,666 1,096,412 822,316 760,384 762,473 33,175 7,993 1 0 — terminates at zero

Continued fraction of √n

√998,816 = [999; (2, 2, 4, 1, 2, 2, 8, 1, 1, 1, 18, 1, 3, 40, 1, 1, 5, 1, 11, 1, 1, 1, 4, 1, …)]

Representations

In words
nine hundred ninety-eight thousand eight hundred sixteen
Ordinal
998816th
Binary
11110011110110100000
Octal
3636640
Hexadecimal
0xF3DA0
Base64
Dz2g
One's complement
4,293,968,479 (32-bit)
Scientific notation
9.98816 × 10⁵
As a duration
998,816 s = 11 days, 13 hours, 26 minutes, 56 seconds
In other bases
ternary (3) 1212202010012
quaternary (4) 3303312200
quinary (5) 223430231
senary (6) 33224052
septenary (7) 11330000
nonary (9) 1782105
undecimal (11) 622475
duodecimal (12) 402028
tridecimal (13) 28c820
tetradecimal (14) 1c0000
pentadecimal (15) 14ae2b

As an angle

998,816° = 2,774 × 360° + 176°
176° ≈ 3.072 rad

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡϟηωιϛʹ
Chinese
九十九萬八千八百一十六
Chinese (financial)
玖拾玖萬捌仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ٩٩٨٨١٦ Devanagari ९९८८१६ Bengali ৯৯৮৮১৬ Tamil ௯௯௮௮௧௬ Thai ๙๙๘๘๑๖ Tibetan ༩༩༨༨༡༦ Khmer ៩៩៨៨១៦ Lao ໙໙໘໘໑໖ Burmese ၉၉၈၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998816, here are decompositions:

  • 3 + 998813 = 998816
  • 37 + 998779 = 998816
  • 67 + 998749 = 998816
  • 73 + 998743 = 998816
  • 79 + 998737 = 998816
  • 127 + 998689 = 998816
  • 163 + 998653 = 998816
  • 193 + 998623 = 998816

Showing the first eight; more decompositions exist.

Hex color
#0F3DA0
RGB(15, 61, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.61.160.

Address
0.15.61.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.61.160

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 998,816 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 998816 first appears in π at position 415,289 of the decimal expansion (the 415,289ordinal-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°.