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988,344

988,344 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.).

988,344 (nine hundred eighty-eight thousand three hundred forty-four) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 7 × 37 × 53. Its proper divisors sum to 2,212,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF14B8.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
27,648
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
443,889
Square (n²)
976,823,862,336
Cube (n³)
965,438,003,396,611,584
Divisor count
96
σ(n) — sum of divisors
3,201,120
φ(n) — Euler's totient
269,568
Sum of prime factors
109

Primality

Prime factorization: 2 3 × 3 2 × 7 × 37 × 53

Nearest primes: 988,343 (−1) · 988,357 (+13)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 37 · 42 · 53 · 56 · 63 · 72 · 74 · 84 · 106 · 111 · 126 · 148 · 159 · 168 · 212 · 222 · 252 · 259 · 296 · 318 · 333 · 371 · 424 · 444 · 477 · 504 · 518 · 636 · 666 · 742 · 777 · 888 · 954 · 1036 · 1113 · 1272 · 1332 · 1484 · 1554 · 1908 · 1961 · 2072 · 2226 · 2331 · 2664 · 2968 · 3108 · 3339 · 3816 · 3922 · 4452 · 4662 · 5883 · 6216 · 6678 · 7844 · 8904 · 9324 · 11766 · 13356 · 13727 · 15688 · 17649 · 18648 · 23532 · 26712 · 27454 · 35298 · 41181 · 47064 · 54908 · 70596 · 82362 · 109816 · 123543 · 141192 · 164724 · 247086 · 329448 · 494172 (half) · 988344
Aliquot sum (sum of proper divisors): 2,212,776
Factor pairs (a × b = 988,344)
1 × 988344
2 × 494172
3 × 329448
4 × 247086
6 × 164724
7 × 141192
8 × 123543
9 × 109816
12 × 82362
14 × 70596
18 × 54908
21 × 47064
24 × 41181
28 × 35298
36 × 27454
37 × 26712
42 × 23532
53 × 18648
56 × 17649
63 × 15688
72 × 13727
74 × 13356
84 × 11766
106 × 9324
111 × 8904
126 × 7844
148 × 6678
159 × 6216
168 × 5883
212 × 4662
222 × 4452
252 × 3922
259 × 3816
296 × 3339
318 × 3108
333 × 2968
371 × 2664
424 × 2331
444 × 2226
477 × 2072
504 × 1961
518 × 1908
636 × 1554
666 × 1484
742 × 1332
777 × 1272
888 × 1113
954 × 1036
First multiples
988,344 · 1,976,688 (double) · 2,965,032 · 3,953,376 · 4,941,720 · 5,930,064 · 6,918,408 · 7,906,752 · 8,895,096 · 9,883,440

Sums & aliquot sequence

As consecutive integers: 329,447 + 329,448 + 329,449 141,189 + 141,190 + … + 141,195 109,812 + 109,813 + … + 109,820 61,764 + 61,765 + … + 61,779
Aliquot sequence: 988,344 2,212,776 3,876,684 7,231,476 14,057,484 24,450,804 48,748,140 123,294,276 232,889,916 424,290,244 442,347,836 453,011,524 465,776,444 481,568,836 488,505,724 488,505,780 1,280,219,724 — unresolved within range

Continued fraction of √n

√988,344 = [994; (6, 2, 5, 16, 4, 79, 3, 2, 41, 1, 7, 24, 2, 2, 1, 2, 4, 6, 1, 1, 1, 6, 2, 4, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand three hundred forty-four
Ordinal
988344th
Binary
11110001010010111000
Octal
3612270
Hexadecimal
0xF14B8
Base64
DxS4
One's complement
4,293,978,951 (32-bit)
Scientific notation
9.88344 × 10⁵
As a duration
988,344 s = 11 days, 10 hours, 32 minutes, 24 seconds
In other bases
ternary (3) 1212012202100
quaternary (4) 3301102320
quinary (5) 223111334
senary (6) 33103400
septenary (7) 11254320
nonary (9) 1765670
undecimal (11) 615615
duodecimal (12) 3b7b60
tridecimal (13) 287b26
tetradecimal (14) 1ba280
pentadecimal (15) 147c99

As an angle

988,344° = 2,745 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπητμδʹ
Chinese
九十八萬八千三百四十四
Chinese (financial)
玖拾捌萬捌仟參佰肆拾肆
In other modern scripts
Eastern Arabic ٩٨٨٣٤٤ Devanagari ९८८३४४ Bengali ৯৮৮৩৪৪ Tamil ௯௮௮௩௪௪ Thai ๙๘๘๓๔๔ Tibetan ༩༨༨༣༤༤ Khmer ៩៨៨៣៤៤ Lao ໙໘໘໓໔໔ Burmese ၉၈၈၃၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988344, here are decompositions:

  • 23 + 988321 = 988344
  • 31 + 988313 = 988344
  • 47 + 988297 = 988344
  • 73 + 988271 = 988344
  • 101 + 988243 = 988344
  • 107 + 988237 = 988344
  • 113 + 988231 = 988344
  • 127 + 988217 = 988344

Showing the first eight; more decompositions exist.

Hex color
#0F14B8
RGB(15, 20, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.20.184.

Address
0.15.20.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.20.184

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 988,344 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 988344 first appears in π at position 23,219 of the decimal expansion (the 23,219ordinal-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°.