number.wiki
Live analysis

138,126

138,126 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.).

138,126 (one hundred thirty-eight thousand one hundred twenty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,021. Its proper divisors sum to 138,138, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B8E.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
288
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
621,831
Recamán's sequence
a(492,575) = 138,126
Square (n²)
19,078,791,876
Cube (n³)
2,635,277,206,664,376
Divisor count
8
σ(n) — sum of divisors
276,264
φ(n) — Euler's totient
46,040
Sum of prime factors
23,026

Primality

Prime factorization: 2 × 3 × 23021

Nearest primes: 138,113 (−13) · 138,139 (+13)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23021 · 46042 · 69063 (half) · 138126
Aliquot sum (sum of proper divisors): 138,138
Factor pairs (a × b = 138,126)
1 × 138126
2 × 69063
3 × 46042
6 × 23021
First multiples
138,126 · 276,252 (double) · 414,378 · 552,504 · 690,630 · 828,756 · 966,882 · 1,105,008 · 1,243,134 · 1,381,260

Sums & aliquot sequence

As consecutive integers: 46,041 + 46,042 + 46,043 34,530 + 34,531 + 34,532 + 34,533 11,505 + 11,506 + … + 11,516
Aliquot sequence: 138,126 138,138 248,934 320,154 320,166 589,554 870,606 1,187,658 1,385,640 3,236,760 7,980,840 21,671,640 50,709,240 128,717,640 300,344,760 709,158,240 2,151,479,232 — unresolved within range

Continued fraction of √n

√138,126 = [371; (1, 1, 1, 7, 1, 1, 148, 7, 1, 1, 1, 9, 1, 28, 1, 4, 1, 3, 52, 1, 4, 1, 27, 1, …)]

Representations

In words
one hundred thirty-eight thousand one hundred twenty-six
Ordinal
138126th
Binary
100001101110001110
Octal
415616
Hexadecimal
0x21B8E
Base64
AhuO
One's complement
4,294,829,169 (32-bit)
Scientific notation
1.38126 × 10⁵
As a duration
138,126 s = 1 day, 14 hours, 22 minutes, 6 seconds
In other bases
ternary (3) 21000110210
quaternary (4) 201232032
quinary (5) 13410001
senary (6) 2543250
septenary (7) 1113462
nonary (9) 230423
undecimal (11) 9485a
duodecimal (12) 67b26
tridecimal (13) 4ab41
tetradecimal (14) 384a2
pentadecimal (15) 2add6

As an angle

138,126° = 383 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληρκϛʹ
Mayan (base 20)
𝋱·𝋥·𝋦·𝋦
Chinese
一十三萬八千一百二十六
Chinese (financial)
壹拾參萬捌仟壹佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٨١٢٦ Devanagari १३८१२६ Bengali ১৩৮১২৬ Tamil ௧௩௮௧௨௬ Thai ๑๓๘๑๒๖ Tibetan ༡༣༨༡༢༦ Khmer ១៣៨១២៦ Lao ໑໓໘໑໒໖ Burmese ၁၃၈၁၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138126, here are decompositions:

  • 13 + 138113 = 138126
  • 19 + 138107 = 138126
  • 47 + 138079 = 138126
  • 67 + 138059 = 138126
  • 73 + 138053 = 138126
  • 127 + 137999 = 138126
  • 179 + 137947 = 138126
  • 193 + 137933 = 138126

Showing the first eight; more decompositions exist.

Unicode codepoint
𡮎
CJK Unified Ideograph-21B8E
U+21B8E
Other letter (Lo)

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

Hex color
#021B8E
RGB(2, 27, 142)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.142.

Address
0.2.27.142
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.142

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 138,126 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°.