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138,522

138,522 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.).

138,522 (one hundred thirty-eight thousand five hundred twenty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 23,087. Its proper divisors sum to 138,534, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D1A.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
480
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
225,831
Recamán's sequence
a(491,783) = 138,522
Square (n²)
19,188,344,484
Cube (n³)
2,658,007,854,612,648
Divisor count
8
σ(n) — sum of divisors
277,056
φ(n) — Euler's totient
46,172
Sum of prime factors
23,092

Primality

Prime factorization: 2 × 3 × 23087

Nearest primes: 138,517 (−5) · 138,547 (+25)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 23087 · 46174 · 69261 (half) · 138522
Aliquot sum (sum of proper divisors): 138,534
Factor pairs (a × b = 138,522)
1 × 138522
2 × 69261
3 × 46174
6 × 23087
First multiples
138,522 · 277,044 (double) · 415,566 · 554,088 · 692,610 · 831,132 · 969,654 · 1,108,176 · 1,246,698 · 1,385,220

Sums & aliquot sequence

As consecutive integers: 46,173 + 46,174 + 46,175 34,629 + 34,630 + 34,631 + 34,632 11,538 + 11,539 + … + 11,549
Aliquot sequence: 138,522 138,534 163,866 174,822 174,834 238,878 302,130 512,442 797,958 1,229,562 1,469,862 1,802,394 2,458,278 2,999,538 3,666,222 6,056,370 10,230,714 — unresolved within range

Continued fraction of √n

√138,522 = [372; (5, 2, 1, 1, 4, 1, 5, 3, 1, 1, 3, 7, 2, 1, 1, 5, 1, 2, 2, 23, 1, 1, 2, 2, …)]

Representations

In words
one hundred thirty-eight thousand five hundred twenty-two
Ordinal
138522nd
Binary
100001110100011010
Octal
416432
Hexadecimal
0x21D1A
Base64
Ah0a
One's complement
4,294,828,773 (32-bit)
Scientific notation
1.38522 × 10⁵
As a duration
138,522 s = 1 day, 14 hours, 28 minutes, 42 seconds
In other bases
ternary (3) 21001000110
quaternary (4) 201310122
quinary (5) 13413042
senary (6) 2545150
septenary (7) 1114566
nonary (9) 231013
undecimal (11) 9508a
duodecimal (12) 681b6
tridecimal (13) 4b087
tetradecimal (14) 386a6
pentadecimal (15) 2b09c

As an angle

138,522° = 384 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφκβʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋢
Chinese
一十三萬八千五百二十二
Chinese (financial)
壹拾參萬捌仟伍佰貳拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٢٢ Devanagari १३८५२२ Bengali ১৩৮৫২২ Tamil ௧௩௮௫௨௨ Thai ๑๓๘๕๒๒ Tibetan ༡༣༨༥༢༢ Khmer ១៣៨៥២២ Lao ໑໓໘໕໒໒ Burmese ၁၃၈၅၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138522, here are decompositions:

  • 5 + 138517 = 138522
  • 11 + 138511 = 138522
  • 29 + 138493 = 138522
  • 53 + 138469 = 138522
  • 61 + 138461 = 138522
  • 71 + 138451 = 138522
  • 73 + 138449 = 138522
  • 89 + 138433 = 138522

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴚
CJK Unified Ideograph-21D1A
U+21D1A
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 9A (4 bytes).

Hex color
#021D1A
RGB(2, 29, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.26.

Address
0.2.29.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.26

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 138,522 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 138522 first appears in π at position 2,428 of the decimal expansion (the 2,428ordinal-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°.