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988,038

988,038 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.).

988,038 (nine hundred eighty-eight thousand thirty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3⁵ × 19 × 107. Its proper divisors sum to 1,370,682, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF1386.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
830,889
Recamán's sequence
a(330,563) = 988,038
Square (n²)
976,219,089,444
Cube (n³)
964,541,556,696,070,872
Divisor count
48
σ(n) — sum of divisors
2,358,720
φ(n) — Euler's totient
309,096
Sum of prime factors
143

Primality

Prime factorization: 2 × 3 5 × 19 × 107

Nearest primes: 988,033 (−5) · 988,051 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 18 · 19 · 27 · 38 · 54 · 57 · 81 · 107 · 114 · 162 · 171 · 214 · 243 · 321 · 342 · 486 · 513 · 642 · 963 · 1026 · 1539 · 1926 · 2033 · 2889 · 3078 · 4066 · 4617 · 5778 · 6099 · 8667 · 9234 · 12198 · 17334 · 18297 · 26001 · 36594 · 52002 · 54891 · 109782 · 164673 · 329346 · 494019 (half) · 988038
Aliquot sum (sum of proper divisors): 1,370,682
Factor pairs (a × b = 988,038)
1 × 988038
2 × 494019
3 × 329346
6 × 164673
9 × 109782
18 × 54891
19 × 52002
27 × 36594
38 × 26001
54 × 18297
57 × 17334
81 × 12198
107 × 9234
114 × 8667
162 × 6099
171 × 5778
214 × 4617
243 × 4066
321 × 3078
342 × 2889
486 × 2033
513 × 1926
642 × 1539
963 × 1026
First multiples
988,038 · 1,976,076 (double) · 2,964,114 · 3,952,152 · 4,940,190 · 5,928,228 · 6,916,266 · 7,904,304 · 8,892,342 · 9,880,380

Sums & aliquot sequence

As consecutive integers: 329,345 + 329,346 + 329,347 247,008 + 247,009 + 247,010 + 247,011 109,778 + 109,779 + … + 109,786 82,331 + 82,332 + … + 82,342
Aliquot sequence: 988,038 1,370,682 1,701,024 3,379,296 5,491,608 8,961,192 16,140,258 18,830,340 39,754,620 80,834,940 164,364,924 235,609,476 314,145,996 420,947,748 774,818,460 1,842,858,756 2,941,646,844 — unresolved within range

Continued fraction of √n

√988,038 = [994; (994, 1988)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
nine hundred eighty-eight thousand thirty-eight
Ordinal
988038th
Binary
11110001001110000110
Octal
3611606
Hexadecimal
0xF1386
Base64
DxOG
One's complement
4,293,979,257 (32-bit)
Scientific notation
9.88038 × 10⁵
As a duration
988,038 s = 11 days, 10 hours, 27 minutes, 18 seconds
In other bases
ternary (3) 1212012100000
quaternary (4) 3301032012
quinary (5) 223104123
senary (6) 33102130
septenary (7) 11253402
nonary (9) 1765300
undecimal (11) 615367
duodecimal (12) 3b7946
tridecimal (13) 28794c
tetradecimal (14) 1ba102
pentadecimal (15) 147b43

As an angle

988,038° = 2,744 × 360° + 198°
198° ≈ 3.456 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ϡπηληʹ
Chinese
九十八萬八千零三十八
Chinese (financial)
玖拾捌萬捌仟零參拾捌
In other modern scripts
Eastern Arabic ٩٨٨٠٣٨ Devanagari ९८८०३८ Bengali ৯৮৮০৩৮ Tamil ௯௮௮௦௩௮ Thai ๙๘๘๐๓๘ Tibetan ༩༨༨༠༣༨ Khmer ៩៨៨០៣៨ Lao ໙໘໘໐໓໘ Burmese ၉၈၈၀၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 988038, here are decompositions:

  • 5 + 988033 = 988038
  • 17 + 988021 = 988038
  • 31 + 988007 = 988038
  • 41 + 987997 = 988038
  • 47 + 987991 = 988038
  • 59 + 987979 = 988038
  • 67 + 987971 = 988038
  • 97 + 987941 = 988038

Showing the first eight; more decompositions exist.

Hex color
#0F1386
RGB(15, 19, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.19.134.

Address
0.15.19.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.19.134

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 988,038 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 988038 first appears in π at position 690,814 of the decimal expansion (the 690,814ordinal-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°.