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138,122

138,122 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.).

138,122 (one hundred thirty-eight thousand one hundred twenty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 69,061. Written other ways, in hexadecimal, 0x21B8A.

Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
221,831
Recamán's sequence
a(492,583) = 138,122
Square (n²)
19,077,686,884
Cube (n³)
2,635,048,267,791,848
Divisor count
4
σ(n) — sum of divisors
207,186
φ(n) — Euler's totient
69,060
Sum of prime factors
69,063

Primality

Prime factorization: 2 × 69061

Nearest primes: 138,113 (−9) · 138,139 (+17)

Divisors & multiples

All divisors (4)
1 · 2 · 69061 (half) · 138122
Aliquot sum (sum of proper divisors): 69,064
Factor pairs (a × b = 138,122)
1 × 138122
2 × 69061
First multiples
138,122 · 276,244 (double) · 414,366 · 552,488 · 690,610 · 828,732 · 966,854 · 1,104,976 · 1,243,098 · 1,381,220

Sums & aliquot sequence

As a sum of two squares: 169² + 331²
As consecutive integers: 34,529 + 34,530 + 34,531 + 34,532
Aliquot sequence: 138,122 69,064 63,236 47,434 25,754 13,606 6,806 3,778 1,892 1,804 1,724 1,300 1,738 1,142 574 434 334 — unresolved within range

Continued fraction of √n

√138,122 = [371; (1, 1, 1, 5, 5, 2, 1, 2, 3, 9, 1, 7, 1, 2, 1, 5, 1, 1, 3, 1, 15, 28, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred twenty-two
Ordinal
138122nd
Binary
100001101110001010
Octal
415612
Hexadecimal
0x21B8A
Base64
AhuK
One's complement
4,294,829,173 (32-bit)
Scientific notation
1.38122 × 10⁵
As a duration
138,122 s = 1 day, 14 hours, 22 minutes, 2 seconds
In other bases
ternary (3) 21000110122
quaternary (4) 201232022
quinary (5) 13404442
senary (6) 2543242
septenary (7) 1113455
nonary (9) 230418
undecimal (11) 94856
duodecimal (12) 67b22
tridecimal (13) 4ab3a
tetradecimal (14) 3849c
pentadecimal (15) 2add2

As an angle

138,122° = 383 × 360° + 242°
242° ≈ 4.224 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληρκβʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋢
Chinese
一十三萬八千一百二十二
Chinese (financial)
壹拾參萬捌仟壹佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٨١٢٢ Devanagari १३८१२२ Bengali ১৩৮১২২ Tamil ௧௩௮௧௨௨ Thai ๑๓๘๑๒๒ Tibetan ༡༣༨༡༢༢ Khmer ១៣៨១២២ Lao ໑໓໘໑໒໒ Burmese ၁၃၈၁၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138122, here are decompositions:

  • 43 + 138079 = 138122
  • 139 + 137983 = 138122
  • 181 + 137941 = 138122
  • 211 + 137911 = 138122
  • 331 + 137791 = 138122
  • 379 + 137743 = 138122
  • 409 + 137713 = 138122
  • 463 + 137659 = 138122

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮊
CJK Unified Ideograph-21B8A
U+21B8A
Other letter (Lo)

UTF-8 encoding: F0 A1 AE 8A (4 bytes).

Hex color
#021B8A
RGB(2, 27, 138)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.138.

Address
0.2.27.138
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.138

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 138,122 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 138122 first appears in π at position 561,762 of the decimal expansion (the 561,762ordinal-suffix:nd 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.