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998,352

998,352 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.).

998,352 (nine hundred ninety-eight thousand three hundred fifty-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3³ × 2,311. Its proper divisors sum to 1,868,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF3BD0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
19,440
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
253,899
Square (n²)
996,706,715,904
Cube (n³)
995,064,143,236,190,208
Divisor count
40
σ(n) — sum of divisors
2,866,880
φ(n) — Euler's totient
332,640
Sum of prime factors
2,328

Primality

Prime factorization: 2 4 × 3 3 × 2311

Nearest primes: 998,329 (−23) · 998,353 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 108 · 144 · 216 · 432 · 2311 · 4622 · 6933 · 9244 · 13866 · 18488 · 20799 · 27732 · 36976 · 41598 · 55464 · 62397 · 83196 · 110928 · 124794 · 166392 · 249588 · 332784 · 499176 (half) · 998352
Aliquot sum (sum of proper divisors): 1,868,528
Factor pairs (a × b = 998,352)
1 × 998352
2 × 499176
3 × 332784
4 × 249588
6 × 166392
8 × 124794
9 × 110928
12 × 83196
16 × 62397
18 × 55464
24 × 41598
27 × 36976
36 × 27732
48 × 20799
54 × 18488
72 × 13866
108 × 9244
144 × 6933
216 × 4622
432 × 2311
First multiples
998,352 · 1,996,704 (double) · 2,995,056 · 3,993,408 · 4,991,760 · 5,990,112 · 6,988,464 · 7,986,816 · 8,985,168 · 9,983,520

Sums & aliquot sequence

As consecutive integers: 332,783 + 332,784 + 332,785 110,924 + 110,925 + … + 110,932 36,963 + 36,964 + … + 36,989 31,183 + 31,184 + … + 31,214
Aliquot sequence: 998,352 1,868,528 1,877,512 2,456,888 2,888,872 3,389,528 3,339,952 4,730,960 7,117,240 10,129,640 12,821,440 18,085,280 28,318,000 40,159,760 53,211,868 43,404,932 32,553,706 — unresolved within range

Continued fraction of √n

√998,352 = [999; (5, 1, 2, 3, 1, 11, 18, 2, 2, 1, 1, 3, 1, 2, 5, 2, 1, 221, 2, 1, 5, 38, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
nine hundred ninety-eight thousand three hundred fifty-two
Ordinal
998352nd
Binary
11110011101111010000
Octal
3635720
Hexadecimal
0xF3BD0
Base64
DzvQ
One's complement
4,293,968,943 (32-bit)
Scientific notation
9.98352 × 10⁵
As a duration
998,352 s = 11 days, 13 hours, 19 minutes, 12 seconds
In other bases
ternary (3) 1212201111000
quaternary (4) 3303233100
quinary (5) 223421402
senary (6) 33222000
septenary (7) 11325435
nonary (9) 1781430
undecimal (11) 622093
duodecimal (12) 401900
tridecimal (13) 28c554
tetradecimal (14) 1bdb8c
pentadecimal (15) 14ac1c

As an angle

998,352° = 2,773 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ϡϟητνβʹ
Chinese
九十九萬八千三百五十二
Chinese (financial)
玖拾玖萬捌仟參佰伍拾貳
In other modern scripts
Eastern Arabic ٩٩٨٣٥٢ Devanagari ९९८३५२ Bengali ৯৯৮৩৫২ Tamil ௯௯௮௩௫௨ Thai ๙๙๘๓๕๒ Tibetan ༩༩༨༣༥༢ Khmer ៩៩៨៣៥២ Lao ໙໙໘໓໕໒ Burmese ၉၉၈၃၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 998352, here are decompositions:

  • 23 + 998329 = 998352
  • 41 + 998311 = 998352
  • 71 + 998281 = 998352
  • 79 + 998273 = 998352
  • 109 + 998243 = 998352
  • 139 + 998213 = 998352
  • 151 + 998201 = 998352
  • 191 + 998161 = 998352

Showing the first eight; more decompositions exist.

Hex color
#0F3BD0
RGB(15, 59, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.59.208.

Address
0.15.59.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.59.208

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 998,352 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 998352 first appears in π at position 283,978 of the decimal expansion (the 283,978ordinal-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°.