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138,801

138,801 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.).

138,801 (one hundred thirty-eight thousand eight hundred one) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 13 × 3,559. Written other ways, in hexadecimal, 0x21E31.

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
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
108,831
Recamán's sequence
a(491,225) = 138,801
Square (n²)
19,265,717,601
Cube (n³)
2,674,100,868,736,401
Divisor count
8
σ(n) — sum of divisors
199,360
φ(n) — Euler's totient
85,392
Sum of prime factors
3,575

Primality

Prime factorization: 3 × 13 × 3559

Nearest primes: 138,799 (−2) · 138,821 (+20)

Divisors & multiples

All divisors (8)
1 · 3 · 13 · 39 · 3559 · 10677 · 46267 · 138801
Aliquot sum (sum of proper divisors): 60,559
Factor pairs (a × b = 138,801)
1 × 138801
3 × 46267
13 × 10677
39 × 3559
First multiples
138,801 · 277,602 (double) · 416,403 · 555,204 · 694,005 · 832,806 · 971,607 · 1,110,408 · 1,249,209 · 1,388,010

Sums & aliquot sequence

As consecutive integers: 69,400 + 69,401 46,266 + 46,267 + 46,268 23,131 + 23,132 + 23,133 + 23,134 + 23,135 + 23,136 10,671 + 10,672 + … + 10,683
Aliquot sequence: 138,801 60,559 2,657 1 0 — terminates at zero

Continued fraction of √n

√138,801 = [372; (1, 1, 3, 1, 1, 1, 25, 18, 1, 1, 2, 3, 4, 4, 1, 1, 18, 1, 1, 4, 4, 3, 2, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand eight hundred one
Ordinal
138801st
Binary
100001111000110001
Octal
417061
Hexadecimal
0x21E31
Base64
Ah4x
One's complement
4,294,828,494 (32-bit)
Scientific notation
1.38801 × 10⁵
As a duration
138,801 s = 1 day, 14 hours, 33 minutes, 21 seconds
In other bases
ternary (3) 21001101210
quaternary (4) 201320301
quinary (5) 13420201
senary (6) 2550333
septenary (7) 1115445
nonary (9) 231353
undecimal (11) 95313
duodecimal (12) 683a9
tridecimal (13) 4b240
tetradecimal (14) 38825
pentadecimal (15) 2b1d6

As an angle

138,801° = 385 × 360° + 201°
201° ≈ 3.508 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρληωαʹ
Mayan (base 20)
𝋱·𝋧·𝋠·𝋡
Chinese
一十三萬八千八百零一
Chinese (financial)
壹拾參萬捌仟捌佰零壹
In other modern scripts
Eastern Arabic ١٣٨٨٠١ Devanagari १३८८०१ Bengali ১৩৮৮০১ Tamil ௧௩௮௮௦௧ Thai ๑๓๘๘๐๑ Tibetan ༡༣༨༨༠༡ Khmer ១៣៨៨០១ Lao ໑໓໘໘໐໑ Burmese ၁၃၈၈၀၁

Also seen as

Unicode codepoint
𡸱
CJK Unified Ideograph-21E31
U+21E31
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 B1 (4 bytes).

Hex color
#021E31
RGB(2, 30, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.49.

Address
0.2.30.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.49

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 138,801 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°.