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138,446

138,446 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.).

138,446 (one hundred thirty-eight thousand four hundred forty-six) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 7 × 11 × 29 × 31. Written other ways, in hexadecimal, 0x21CCE.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,304
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
644,831
Recamán's sequence
a(491,935) = 138,446
Square (n²)
19,167,294,916
Cube (n³)
2,653,635,311,940,536
Divisor count
32
σ(n) — sum of divisors
276,480
φ(n) — Euler's totient
50,400
Sum of prime factors
80

Primality

Prime factorization: 2 × 7 × 11 × 29 × 31

Nearest primes: 138,433 (−13) · 138,449 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 7 · 11 · 14 · 22 · 29 · 31 · 58 · 62 · 77 · 154 · 203 · 217 · 319 · 341 · 406 · 434 · 638 · 682 · 899 · 1798 · 2233 · 2387 · 4466 · 4774 · 6293 · 9889 · 12586 · 19778 · 69223 (half) · 138446
Aliquot sum (sum of proper divisors): 138,034
Factor pairs (a × b = 138,446)
1 × 138446
2 × 69223
7 × 19778
11 × 12586
14 × 9889
22 × 6293
29 × 4774
31 × 4466
58 × 2387
62 × 2233
77 × 1798
154 × 899
203 × 682
217 × 638
319 × 434
341 × 406
First multiples
138,446 · 276,892 (double) · 415,338 · 553,784 · 692,230 · 830,676 · 969,122 · 1,107,568 · 1,246,014 · 1,384,460

Sums & aliquot sequence

As consecutive integers: 34,610 + 34,611 + 34,612 + 34,613 19,775 + 19,776 + … + 19,781 12,581 + 12,582 + … + 12,591 4,931 + 4,932 + … + 4,958
Aliquot sequence: 138,446 138,034 84,986 54,118 27,062 19,354 9,680 15,058 7,532 7,588 7,644 14,700 34,776 80,424 137,586 149,838 194,898 — unresolved within range

Continued fraction of √n

√138,446 = [372; (12, 744)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand four hundred forty-six
Ordinal
138446th
Binary
100001110011001110
Octal
416316
Hexadecimal
0x21CCE
Base64
AhzO
One's complement
4,294,828,849 (32-bit)
Scientific notation
1.38446 × 10⁵
As a duration
138,446 s = 1 day, 14 hours, 27 minutes, 26 seconds
In other bases
ternary (3) 21000220122
quaternary (4) 201303032
quinary (5) 13412241
senary (6) 2544542
septenary (7) 1114430
nonary (9) 230818
undecimal (11) 95020
duodecimal (12) 68152
tridecimal (13) 4b029
tetradecimal (14) 38650
pentadecimal (15) 2b04b

As an angle

138,446° = 384 × 360° + 206°
206° ≈ 3.595 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληυμϛʹ
Mayan (base 20)
𝋱·𝋦·𝋢·𝋦
Chinese
一十三萬八千四百四十六
Chinese (financial)
壹拾參萬捌仟肆佰肆拾陸
In other modern scripts
Eastern Arabic ١٣٨٤٤٦ Devanagari १३८४४६ Bengali ১৩৮৪৪৬ Tamil ௧௩௮௪௪௬ Thai ๑๓๘๔๔๖ Tibetan ༡༣༨༤༤༦ Khmer ១៣៨៤៤៦ Lao ໑໓໘໔໔໖ Burmese ၁၃၈၄၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138446, here are decompositions:

  • 13 + 138433 = 138446
  • 19 + 138427 = 138446
  • 43 + 138403 = 138446
  • 73 + 138373 = 138446
  • 97 + 138349 = 138446
  • 109 + 138337 = 138446
  • 127 + 138319 = 138446
  • 157 + 138289 = 138446

Showing the first eight; more decompositions exist.

Unicode codepoint
𡳎
CJK Unified Ideograph-21Cce
U+21CCE
Other letter (Lo)

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

Hex color
#021CCE
RGB(2, 28, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.206.

Address
0.2.28.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.206

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 138,446 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 138446 first appears in π at position 405,506 of the decimal expansion (the 405,506ordinal-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

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