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138,822

138,822 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.).

138,822 (one hundred thirty-eight thousand eight hundred twenty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 17 × 1,361. Its proper divisors sum to 155,370, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E46.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Smith Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
768
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
228,831
Recamán's sequence
a(491,183) = 138,822
Square (n²)
19,271,547,684
Cube (n³)
2,675,314,792,588,248
Divisor count
16
σ(n) — sum of divisors
294,192
φ(n) — Euler's totient
43,520
Sum of prime factors
1,383

Primality

Prime factorization: 2 × 3 × 17 × 1361

Nearest primes: 138,821 (−1) · 138,829 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 17 · 34 · 51 · 102 · 1361 · 2722 · 4083 · 8166 · 23137 · 46274 · 69411 (half) · 138822
Aliquot sum (sum of proper divisors): 155,370
Factor pairs (a × b = 138,822)
1 × 138822
2 × 69411
3 × 46274
6 × 23137
17 × 8166
34 × 4083
51 × 2722
102 × 1361
First multiples
138,822 · 277,644 (double) · 416,466 · 555,288 · 694,110 · 832,932 · 971,754 · 1,110,576 · 1,249,398 · 1,388,220

Sums & aliquot sequence

As consecutive integers: 46,273 + 46,274 + 46,275 34,704 + 34,705 + 34,706 + 34,707 11,563 + 11,564 + … + 11,574 8,158 + 8,159 + … + 8,174
Aliquot sequence: 138,822 155,370 217,590 304,698 319,398 319,410 734,670 1,242,954 1,471,446 1,943,658 2,267,640 5,103,360 12,593,592 24,617,088 52,494,912 110,999,808 229,565,340 — unresolved within range

Continued fraction of √n

√138,822 = [372; (1, 1, 2, 3, 372, 3, 2, 1, 1, 744)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand eight hundred twenty-two
Ordinal
138822nd
Binary
100001111001000110
Octal
417106
Hexadecimal
0x21E46
Base64
Ah5G
One's complement
4,294,828,473 (32-bit)
Scientific notation
1.38822 × 10⁵
As a duration
138,822 s = 1 day, 14 hours, 33 minutes, 42 seconds
In other bases
ternary (3) 21001102120
quaternary (4) 201321012
quinary (5) 13420242
senary (6) 2550410
septenary (7) 1115505
nonary (9) 231376
undecimal (11) 95332
duodecimal (12) 68406
tridecimal (13) 4b258
tetradecimal (14) 3883c
pentadecimal (15) 2b1ec

As an angle

138,822° = 385 × 360° + 222°
222° ≈ 3.875 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληωκβʹ
Mayan (base 20)
𝋱·𝋧·𝋡·𝋢
Chinese
一十三萬八千八百二十二
Chinese (financial)
壹拾參萬捌仟捌佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٨٨٢٢ Devanagari १३८८२२ Bengali ১৩৮৮২২ Tamil ௧௩௮௮௨௨ Thai ๑๓๘๘๒๒ Tibetan ༡༣༨༨༢༢ Khmer ១៣៨៨២២ Lao ໑໓໘໘໒໒ Burmese ၁၃၈၈၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138822, here are decompositions:

  • 23 + 138799 = 138822
  • 29 + 138793 = 138822
  • 59 + 138763 = 138822
  • 83 + 138739 = 138822
  • 139 + 138683 = 138822
  • 181 + 138641 = 138822
  • 193 + 138629 = 138822
  • 223 + 138599 = 138822

Showing the first eight; more decompositions exist.

Unicode codepoint
𡹆
CJK Unified Ideograph-21E46
U+21E46
Other letter (Lo)

UTF-8 encoding: F0 A1 B9 86 (4 bytes).

Hex color
#021E46
RGB(2, 30, 70)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.70.

Address
0.2.30.70
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.70

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 138,822 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°.