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128,988

128,988 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.).

128,988 (one hundred twenty-eight thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,583. Its proper divisors sum to 197,156, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F7DC.

Abundant Number Cube-Free Gapful Number Harshad / Niven Moran Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
9,216
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
889,821
Recamán's sequence
a(231,664) = 128,988
Square (n²)
16,637,904,144
Cube (n³)
2,146,089,979,726,272
Divisor count
18
σ(n) — sum of divisors
326,144
φ(n) — Euler's totient
42,984
Sum of prime factors
3,593

Primality

Prime factorization: 2 2 × 3 2 × 3583

Nearest primes: 128,987 (−1) · 128,993 (+5)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3583 · 7166 · 10749 · 14332 · 21498 · 32247 · 42996 · 64494 (half) · 128988
Aliquot sum (sum of proper divisors): 197,156
Factor pairs (a × b = 128,988)
1 × 128988
2 × 64494
3 × 42996
4 × 32247
6 × 21498
9 × 14332
12 × 10749
18 × 7166
36 × 3583
First multiples
128,988 · 257,976 (double) · 386,964 · 515,952 · 644,940 · 773,928 · 902,916 · 1,031,904 · 1,160,892 · 1,289,880

Sums & aliquot sequence

As consecutive integers: 42,995 + 42,996 + 42,997 16,120 + 16,121 + … + 16,127 14,328 + 14,329 + … + 14,336 5,363 + 5,364 + … + 5,386
Aliquot sequence: 128,988 197,156 163,036 122,284 103,116 156,388 117,298 60,110 48,106 25,334 13,546 8,378 4,582 2,618 2,566 1,286 646 — unresolved within range

Continued fraction of √n

√128,988 = [359; (6, 1, 2, 2, 7, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 2, 2, 1, 1, 4, 7, 5, 2, …)]

Representations

In words
one hundred twenty-eight thousand nine hundred eighty-eight
Ordinal
128988th
Binary
11111011111011100
Octal
373734
Hexadecimal
0x1F7DC
Base64
Affc
One's complement
4,294,838,307 (32-bit)
Scientific notation
1.28988 × 10⁵
As a duration
128,988 s = 1 day, 11 hours, 49 minutes, 48 seconds
In other bases
ternary (3) 20112221100
quaternary (4) 133133130
quinary (5) 13111423
senary (6) 2433100
septenary (7) 1045026
nonary (9) 215840
undecimal (11) 88a02
duodecimal (12) 62790
tridecimal (13) 46932
tetradecimal (14) 35016
pentadecimal (15) 28343

As an angle

128,988° = 358 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκηϡπηʹ
Mayan (base 20)
𝋰·𝋢·𝋩·𝋨
Chinese
一十二萬八千九百八十八
Chinese (financial)
壹拾貳萬捌仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٨٩٨٨ Devanagari १२८९८८ Bengali ১২৮৯৮৮ Tamil ௧௨௮௯௮௮ Thai ๑๒๘๙๘๘ Tibetan ༡༢༨༩༨༨ Khmer ១២៨៩៨៨ Lao ໑໒໘໙໘໘ Burmese ၁၂၈၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 128988, here are decompositions:

  • 5 + 128983 = 128988
  • 7 + 128981 = 128988
  • 17 + 128971 = 128988
  • 19 + 128969 = 128988
  • 29 + 128959 = 128988
  • 37 + 128951 = 128988
  • 47 + 128941 = 128988
  • 109 + 128879 = 128988

Showing the first eight; more decompositions exist.

Hex color
#01F7DC
RGB(1, 247, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.247.220.

Address
0.1.247.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.247.220

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 128,988 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 128988 first appears in π at position 553,241 of the decimal expansion (the 553,241ordinal-suffix:st 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°.