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138,531

138,531 is a composite number, odd.

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.).

138,531 (one hundred thirty-eight thousand five hundred thirty-one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 61 × 757. Written other ways, in hexadecimal, 0x21D23.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
360
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
135,831
Recamán's sequence
a(491,765) = 138,531
Square (n²)
19,190,837,961
Cube (n³)
2,658,525,973,575,291
Divisor count
8
σ(n) — sum of divisors
187,984
φ(n) — Euler's totient
90,720
Sum of prime factors
821

Primality

Prime factorization: 3 × 61 × 757

Nearest primes: 138,517 (−14) · 138,547 (+16)

Divisors & multiples

All divisors (8)
1 · 3 · 61 · 183 · 757 · 2271 · 46177 · 138531
Aliquot sum (sum of proper divisors): 49,453
Factor pairs (a × b = 138,531)
1 × 138531
3 × 46177
61 × 2271
183 × 757
First multiples
138,531 · 277,062 (double) · 415,593 · 554,124 · 692,655 · 831,186 · 969,717 · 1,108,248 · 1,246,779 · 1,385,310

Sums & aliquot sequence

As consecutive integers: 69,265 + 69,266 46,176 + 46,177 + 46,178 23,086 + 23,087 + 23,088 + 23,089 + 23,090 + 23,091 2,241 + 2,242 + … + 2,301
Aliquot sequence: 138,531 49,453 2,927 1 0 — terminates at zero

Continued fraction of √n

√138,531 = [372; (5, 15, 1, 56, 3, 10, 3, 3, 3, 4, 9, 1, 4, 1, 3, 1, 1, 4, 1, 2, 5, 1, 9, 12, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred thirty-one
Ordinal
138531st
Binary
100001110100100011
Octal
416443
Hexadecimal
0x21D23
Base64
Ah0j
One's complement
4,294,828,764 (32-bit)
Scientific notation
1.38531 × 10⁵
As a duration
138,531 s = 1 day, 14 hours, 28 minutes, 51 seconds
In other bases
ternary (3) 21001000210
quaternary (4) 201310203
quinary (5) 13413111
senary (6) 2545203
septenary (7) 1114611
nonary (9) 231023
undecimal (11) 95098
duodecimal (12) 68203
tridecimal (13) 4b093
tetradecimal (14) 386b1
pentadecimal (15) 2b0a6

As an angle

138,531° = 384 × 360° + 291°
291° ≈ 5.079 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρληφλαʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋫
Chinese
一十三萬八千五百三十一
Chinese (financial)
壹拾參萬捌仟伍佰參拾壹
In other modern scripts
Eastern Arabic ١٣٨٥٣١ Devanagari १३८५३१ Bengali ১৩৮৫৩১ Tamil ௧௩௮௫௩௧ Thai ๑๓๘๕๓๑ Tibetan ༡༣༨༥༣༡ Khmer ១៣៨៥៣១ Lao ໑໓໘໕໓໑ Burmese ၁၃၈၅၃၁

Also seen as

Unicode codepoint
𡴣
CJK Unified Ideograph-21D23
U+21D23
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 A3 (4 bytes).

Hex color
#021D23
RGB(2, 29, 35)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.35.

Address
0.2.29.35
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.35

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 138,531 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°.