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138,006

138,006 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.).

138,006 (one hundred thirty-eight thousand six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 11 × 17 × 41. Its proper divisors sum to 215,802, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B16.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
600,831
Recamán's sequence
a(492,815) = 138,006
Square (n²)
19,045,656,036
Cube (n³)
2,628,414,806,904,216
Divisor count
48
σ(n) — sum of divisors
353,808
φ(n) — Euler's totient
38,400
Sum of prime factors
77

Primality

Prime factorization: 2 × 3 2 × 11 × 17 × 41

Nearest primes: 137,999 (−7) · 138,007 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 11 · 17 · 18 · 22 · 33 · 34 · 41 · 51 · 66 · 82 · 99 · 102 · 123 · 153 · 187 · 198 · 246 · 306 · 369 · 374 · 451 · 561 · 697 · 738 · 902 · 1122 · 1353 · 1394 · 1683 · 2091 · 2706 · 3366 · 4059 · 4182 · 6273 · 7667 · 8118 · 12546 · 15334 · 23001 · 46002 · 69003 (half) · 138006
Aliquot sum (sum of proper divisors): 215,802
Factor pairs (a × b = 138,006)
1 × 138006
2 × 69003
3 × 46002
6 × 23001
9 × 15334
11 × 12546
17 × 8118
18 × 7667
22 × 6273
33 × 4182
34 × 4059
41 × 3366
51 × 2706
66 × 2091
82 × 1683
99 × 1394
102 × 1353
123 × 1122
153 × 902
187 × 738
198 × 697
246 × 561
306 × 451
369 × 374
First multiples
138,006 · 276,012 (double) · 414,018 · 552,024 · 690,030 · 828,036 · 966,042 · 1,104,048 · 1,242,054 · 1,380,060

Sums & aliquot sequence

As consecutive integers: 46,001 + 46,002 + 46,003 34,500 + 34,501 + 34,502 + 34,503 15,330 + 15,331 + … + 15,338 12,541 + 12,542 + … + 12,551
Aliquot sequence: 138,006 215,802 277,158 356,442 356,454 611,226 1,131,174 1,648,746 2,283,000 4,849,320 12,568,920 33,879,720 84,626,520 197,141,160 394,282,680 988,117,320 1,976,235,000 — unresolved within range

Continued fraction of √n

√138,006 = [371; (2, 29, 4, 1, 1, 4, 3, 1, 2, 2, 7, 6, 3, 14, 1, 5, 1, 1, 9, 9, 14, 1, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand six
Ordinal
138006th
Binary
100001101100010110
Octal
415426
Hexadecimal
0x21B16
Base64
AhsW
One's complement
4,294,829,289 (32-bit)
Scientific notation
1.38006 × 10⁵
As a duration
138,006 s = 1 day, 14 hours, 20 minutes, 6 seconds
In other bases
ternary (3) 21000022100
quaternary (4) 201230112
quinary (5) 13404011
senary (6) 2542530
septenary (7) 1113231
nonary (9) 230270
undecimal (11) 94760
duodecimal (12) 67a46
tridecimal (13) 4aa7b
tetradecimal (14) 38418
pentadecimal (15) 2ad56

As an angle

138,006° = 383 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληϛʹ
Mayan (base 20)
𝋱·𝋥·𝋠·𝋦
Chinese
一十三萬八千零六
Chinese (financial)
壹拾參萬捌仟零陸
In other modern scripts
Eastern Arabic ١٣٨٠٠٦ Devanagari १३८००६ Bengali ১৩৮০০৬ Tamil ௧௩௮௦௦௬ Thai ๑๓๘๐๐๖ Tibetan ༡༣༨༠༠༦ Khmer ១៣៨០០៦ Lao ໑໓໘໐໐໖ Burmese ၁၃၈၀၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138006, here are decompositions:

  • 7 + 137999 = 138006
  • 13 + 137993 = 138006
  • 23 + 137983 = 138006
  • 59 + 137947 = 138006
  • 73 + 137933 = 138006
  • 79 + 137927 = 138006
  • 97 + 137909 = 138006
  • 137 + 137869 = 138006

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬖
CJK Unified Ideograph-21B16
U+21B16
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 96 (4 bytes).

Hex color
#021B16
RGB(2, 27, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.22.

Address
0.2.27.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.22

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 138,006 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 138006 first appears in π at position 637,499 of the decimal expansion (the 637,499ordinal-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°.