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138,321

138,321 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.).

138,321 (one hundred thirty-eight thousand three hundred twenty-one) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3³ × 47 × 109. Written other ways, in hexadecimal, 0x21C51.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
123,831
Recamán's sequence
a(492,185) = 138,321
Square (n²)
19,132,699,041
Cube (n³)
2,646,454,064,050,161
Divisor count
16
σ(n) — sum of divisors
211,200
φ(n) — Euler's totient
89,424
Sum of prime factors
165

Primality

Prime factorization: 3 3 × 47 × 109

Nearest primes: 138,319 (−2) · 138,323 (+2)

Divisors & multiples

All divisors (16)
1 · 3 · 9 · 27 · 47 · 109 · 141 · 327 · 423 · 981 · 1269 · 2943 · 5123 · 15369 · 46107 · 138321
Aliquot sum (sum of proper divisors): 72,879
Factor pairs (a × b = 138,321)
1 × 138321
3 × 46107
9 × 15369
27 × 5123
47 × 2943
109 × 1269
141 × 981
327 × 423
First multiples
138,321 · 276,642 (double) · 414,963 · 553,284 · 691,605 · 829,926 · 968,247 · 1,106,568 · 1,244,889 · 1,383,210

Sums & aliquot sequence

As consecutive integers: 69,160 + 69,161 46,106 + 46,107 + 46,108 23,051 + 23,052 + 23,053 + 23,054 + 23,055 + 23,056 15,365 + 15,366 + … + 15,373
Aliquot sequence: 138,321 72,879 30,081 11,263 1,617 1,119 377 43 1 0 — terminates at zero

Continued fraction of √n

√138,321 = [371; (1, 10, 1, 4, 4, 1, 2, 4, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 15, 1, 3, 1, 20, 2, …)]

Representations

In words
one hundred thirty-eight thousand three hundred twenty-one
Ordinal
138321st
Binary
100001110001010001
Octal
416121
Hexadecimal
0x21C51
Base64
AhxR
One's complement
4,294,828,974 (32-bit)
Scientific notation
1.38321 × 10⁵
As a duration
138,321 s = 1 day, 14 hours, 25 minutes, 21 seconds
In other bases
ternary (3) 21000202000
quaternary (4) 201301101
quinary (5) 13411241
senary (6) 2544213
septenary (7) 1114161
nonary (9) 230660
undecimal (11) 94a17
duodecimal (12) 68069
tridecimal (13) 4ac61
tetradecimal (14) 385a1
pentadecimal (15) 2aeb6

As an angle

138,321° = 384 × 360° + 81°
81° ≈ 1.414 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλητκαʹ
Mayan (base 20)
𝋱·𝋥·𝋰·𝋡
Chinese
一十三萬八千三百二十一
Chinese (financial)
壹拾參萬捌仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٨٣٢١ Devanagari १३८३२१ Bengali ১৩৮৩২১ Tamil ௧௩௮௩௨௧ Thai ๑๓๘๓๒๑ Tibetan ༡༣༨༣༢༡ Khmer ១៣៨៣២១ Lao ໑໓໘໓໒໑ Burmese ၁၃၈၃၂၁

Also seen as

Unicode codepoint
𡱑
CJK Unified Ideograph-21C51
U+21C51
Other letter (Lo)

UTF-8 encoding: F0 A1 B1 91 (4 bytes).

Hex color
#021C51
RGB(2, 28, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.81.

Address
0.2.28.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.81

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 138,321 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°.