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988,384

988,384 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.).

988,384 (nine hundred eighty-eight thousand three hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 67 × 461. Its proper divisors sum to 990,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14E0.

Abundant Number Arithmetic Number Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
40
Digit product
55,296
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
483,889
Square (n²)
976,902,931,456
Cube (n³)
965,555,227,004,207,104
Divisor count
24
σ(n) — sum of divisors
1,979,208
φ(n) — Euler's totient
485,760
Sum of prime factors
538

Primality

Prime factorization: 2 5 × 67 × 461

Nearest primes: 988,367 (−17) · 988,409 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 67 · 134 · 268 · 461 · 536 · 922 · 1072 · 1844 · 2144 · 3688 · 7376 · 14752 · 30887 · 61774 · 123548 · 247096 · 494192 (half) · 988384
Aliquot sum (sum of proper divisors): 990,824
Factor pairs (a × b = 988,384)
1 × 988384
2 × 494192
4 × 247096
8 × 123548
16 × 61774
32 × 30887
67 × 14752
134 × 7376
268 × 3688
461 × 2144
536 × 1844
922 × 1072
First multiples
988,384 · 1,976,768 (double) · 2,965,152 · 3,953,536 · 4,941,920 · 5,930,304 · 6,918,688 · 7,907,072 · 8,895,456 · 9,883,840

Sums & aliquot sequence

As consecutive integers: 15,412 + 15,413 + … + 15,475 14,719 + 14,720 + … + 14,785 1,914 + 1,915 + … + 2,374
Aliquot sequence: 988,384 990,824 866,986 491,294 257,914 138,086 91,738 45,872 46,384 50,832 91,830 128,634 152,166 195,738 244,902 360,114 376,014 — unresolved within range

Continued fraction of √n

√988,384 = [994; (5, 1, 2, 2, 17, 2, 20, 2, 3, 1, 24, 12, 1, 21, 2, 2, 1, 1, 6, 6, 2, 1, 1, 2, …)]

Representations

In words
nine hundred eighty-eight thousand three hundred eighty-four
Ordinal
988384th
Binary
11110001010011100000
Octal
3612340
Hexadecimal
0xF14E0
Base64
DxTg
One's complement
4,293,978,911 (32-bit)
Scientific notation
9.88384 × 10⁵
As a duration
988,384 s = 11 days, 10 hours, 33 minutes, 4 seconds
In other bases
ternary (3) 1212012210211
quaternary (4) 3301103200
quinary (5) 223112014
senary (6) 33103504
septenary (7) 11254405
nonary (9) 1765724
undecimal (11) 615651
duodecimal (12) 3b7b94
tridecimal (13) 287b57
tetradecimal (14) 1ba2ac
pentadecimal (15) 147cc4

As an angle

988,384° = 2,745 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπητπδʹ
Chinese
九十八萬八千三百八十四
Chinese (financial)
玖拾捌萬捌仟參佰捌拾肆
In other modern scripts
Eastern Arabic ٩٨٨٣٨٤ Devanagari ९८८३८४ Bengali ৯৮৮৩৮৪ Tamil ௯௮௮௩௮௪ Thai ๙๘๘๓๘๔ Tibetan ༩༨༨༣༨༤ Khmer ៩៨៨៣៨៤ Lao ໙໘໘໓໘໔ Burmese ၉၈၈၃၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988384, here are decompositions:

  • 17 + 988367 = 988384
  • 41 + 988343 = 988384
  • 71 + 988313 = 988384
  • 113 + 988271 = 988384
  • 167 + 988217 = 988384
  • 227 + 988157 = 988384
  • 317 + 988067 = 988384
  • 401 + 987983 = 988384

Showing the first eight; more decompositions exist.

Hex color
#0F14E0
RGB(15, 20, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.224.

Address
0.15.20.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.224

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 988,384 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 988384 first appears in π at position 370,035 of the decimal expansion (the 370,035ordinal-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°.