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138,348

138,348 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.).

138,348 (one hundred thirty-eight thousand three hundred forty-eight) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 7 × 61. Its proper divisors sum to 281,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C6C.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
843,831
Recamán's sequence
a(492,131) = 138,348
Square (n²)
19,140,169,104
Cube (n³)
2,648,004,115,200,192
Divisor count
60
σ(n) — sum of divisors
420,112
φ(n) — Euler's totient
38,880
Sum of prime factors
84

Primality

Prime factorization: 2 2 × 3 4 × 7 × 61

Nearest primes: 138,337 (−11) · 138,349 (+1)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 27 · 28 · 36 · 42 · 54 · 61 · 63 · 81 · 84 · 108 · 122 · 126 · 162 · 183 · 189 · 244 · 252 · 324 · 366 · 378 · 427 · 549 · 567 · 732 · 756 · 854 · 1098 · 1134 · 1281 · 1647 · 1708 · 2196 · 2268 · 2562 · 3294 · 3843 · 4941 · 5124 · 6588 · 7686 · 9882 · 11529 · 15372 · 19764 · 23058 · 34587 · 46116 · 69174 (half) · 138348
Aliquot sum (sum of proper divisors): 281,764
Factor pairs (a × b = 138,348)
1 × 138348
2 × 69174
3 × 46116
4 × 34587
6 × 23058
7 × 19764
9 × 15372
12 × 11529
14 × 9882
18 × 7686
21 × 6588
27 × 5124
28 × 4941
36 × 3843
42 × 3294
54 × 2562
61 × 2268
63 × 2196
81 × 1708
84 × 1647
108 × 1281
122 × 1134
126 × 1098
162 × 854
183 × 756
189 × 732
244 × 567
252 × 549
324 × 427
366 × 378
First multiples
138,348 · 276,696 (double) · 415,044 · 553,392 · 691,740 · 830,088 · 968,436 · 1,106,784 · 1,245,132 · 1,383,480

Sums & aliquot sequence

As consecutive integers: 46,115 + 46,116 + 46,117 19,761 + 19,762 + … + 19,767 17,290 + 17,291 + … + 17,297 15,368 + 15,369 + … + 15,376
Aliquot sequence: 138,348 281,764 302,876 325,444 339,836 355,684 355,740 917,868 1,590,932 1,648,150 2,074,826 1,276,858 833,606 482,674 241,340 312,052 312,404 — unresolved within range

Continued fraction of √n

√138,348 = [371; (1, 19, 1, 1, 1, 81, 1, 184, 1, 81, 1, 1, 1, 19, 1, 742)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand three hundred forty-eight
Ordinal
138348th
Binary
100001110001101100
Octal
416154
Hexadecimal
0x21C6C
Base64
Ahxs
One's complement
4,294,828,947 (32-bit)
Scientific notation
1.38348 × 10⁵
As a duration
138,348 s = 1 day, 14 hours, 25 minutes, 48 seconds
In other bases
ternary (3) 21000210000
quaternary (4) 201301230
quinary (5) 13411343
senary (6) 2544300
septenary (7) 1114230
nonary (9) 230700
undecimal (11) 94a41
duodecimal (12) 68090
tridecimal (13) 4ac82
tetradecimal (14) 385c0
pentadecimal (15) 2aed3

As an angle

138,348° = 384 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλητμηʹ
Mayan (base 20)
𝋱·𝋥·𝋱·𝋨
Chinese
一十三萬八千三百四十八
Chinese (financial)
壹拾參萬捌仟參佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٨٣٤٨ Devanagari १३८३४८ Bengali ১৩৮৩৪৮ Tamil ௧௩௮௩௪௮ Thai ๑๓๘๓๔๘ Tibetan ༡༣༨༣༤༨ Khmer ១៣៨៣៤៨ Lao ໑໓໘໓໔໘ Burmese ၁၃၈၃၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138348, here are decompositions:

  • 11 + 138337 = 138348
  • 29 + 138319 = 138348
  • 37 + 138311 = 138348
  • 59 + 138289 = 138348
  • 97 + 138251 = 138348
  • 101 + 138247 = 138348
  • 107 + 138241 = 138348
  • 109 + 138239 = 138348

Showing the first eight; more decompositions exist.

Unicode codepoint
𡱬
CJK Unified Ideograph-21C6C
U+21C6C
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 AC (4 bytes).

Hex color
#021C6C
RGB(2, 28, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.108.

Address
0.2.28.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.108

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 138,348 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.