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138,488

138,488 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.).

138,488 (one hundred thirty-eight thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,473. Its proper divisors sum to 158,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21CF8.

Abundant Number Arithmetic Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
6,144
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
884,831
Recamán's sequence
a(491,851) = 138,488
Square (n²)
19,178,926,144
Cube (n³)
2,656,051,123,830,272
Divisor count
16
σ(n) — sum of divisors
296,880
φ(n) — Euler's totient
59,328
Sum of prime factors
2,486

Primality

Prime factorization: 2 3 × 7 × 2473

Nearest primes: 138,469 (−19) · 138,493 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2473 · 4946 · 9892 · 17311 · 19784 · 34622 · 69244 (half) · 138488
Aliquot sum (sum of proper divisors): 158,392
Factor pairs (a × b = 138,488)
1 × 138488
2 × 69244
4 × 34622
7 × 19784
8 × 17311
14 × 9892
28 × 4946
56 × 2473
First multiples
138,488 · 276,976 (double) · 415,464 · 553,952 · 692,440 · 830,928 · 969,416 · 1,107,904 · 1,246,392 · 1,384,880

Sums & aliquot sequence

As consecutive integers: 19,781 + 19,782 + … + 19,787 8,648 + 8,649 + … + 8,663 1,181 + 1,182 + … + 1,292
Aliquot sequence: 138,488 158,392 161,648 151,576 132,644 99,490 79,610 71,590 57,290 52,222 26,114 16,654 10,634 6,586 3,674 2,374 1,190 — unresolved within range

Continued fraction of √n

√138,488 = [372; (7, 6, 2, 3, 1, 16, 7, 6, 106, 6, 7, 16, 1, 3, 2, 6, 7, 744)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred eighty-eight
Ordinal
138488th
Binary
100001110011111000
Octal
416370
Hexadecimal
0x21CF8
Base64
Ahz4
One's complement
4,294,828,807 (32-bit)
Scientific notation
1.38488 × 10⁵
As a duration
138,488 s = 1 day, 14 hours, 28 minutes, 8 seconds
In other bases
ternary (3) 21000222012
quaternary (4) 201303320
quinary (5) 13412423
senary (6) 2545052
septenary (7) 1114520
nonary (9) 230865
undecimal (11) 95059
duodecimal (12) 68188
tridecimal (13) 4b05c
tetradecimal (14) 38680
pentadecimal (15) 2b078
Palindromic in base 11

As an angle

138,488° = 384 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυπηʹ
Mayan (base 20)
𝋱·𝋦·𝋤·𝋨
Chinese
一十三萬八千四百八十八
Chinese (financial)
壹拾參萬捌仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٨٤٨٨ Devanagari १३८४८८ Bengali ১৩৮৪৮৮ Tamil ௧௩௮௪௮௮ Thai ๑๓๘๔๘๘ Tibetan ༡༣༨༤༨༨ Khmer ១៣៨៤៨៨ Lao ໑໓໘໔໘໘ Burmese ၁၃၈၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138488, here are decompositions:

  • 19 + 138469 = 138488
  • 37 + 138451 = 138488
  • 61 + 138427 = 138488
  • 139 + 138349 = 138488
  • 151 + 138337 = 138488
  • 199 + 138289 = 138488
  • 241 + 138247 = 138488
  • 307 + 138181 = 138488

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳸
CJK Unified Ideograph-21Cf8
U+21CF8
Other letter (Lo)

UTF-8 encoding: F0 A1 B3 B8 (4 bytes).

Hex color
#021CF8
RGB(2, 28, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.248.

Address
0.2.28.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.248

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 138,488 and was likely granted around 1872.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.