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138,509

138,509 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.).

138,509 (one hundred thirty-eight thousand five hundred nine) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 7 × 47 × 421. Written other ways, in hexadecimal, 0x21D0D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
905,831
Recamán's sequence
a(491,809) = 138,509
Square (n²)
19,184,743,081
Cube (n³)
2,657,259,579,406,229
Divisor count
8
σ(n) — sum of divisors
162,048
φ(n) — Euler's totient
115,920
Sum of prime factors
475

Primality

Prime factorization: 7 × 47 × 421

Nearest primes: 138,497 (−12) · 138,511 (+2)

Divisors & multiples

All divisors (8)
1 · 7 · 47 · 329 · 421 · 2947 · 19787 · 138509
Aliquot sum (sum of proper divisors): 23,539
Factor pairs (a × b = 138,509)
1 × 138509
7 × 19787
47 × 2947
329 × 421
First multiples
138,509 · 277,018 (double) · 415,527 · 554,036 · 692,545 · 831,054 · 969,563 · 1,108,072 · 1,246,581 · 1,385,090

Sums & aliquot sequence

As consecutive integers: 69,254 + 69,255 19,784 + 19,785 + … + 19,790 9,887 + 9,888 + … + 9,900 2,924 + 2,925 + … + 2,970
Aliquot sequence: 138,509 23,539 1 0 — terminates at zero

Continued fraction of √n

√138,509 = [372; (5, 1, 20, 2, 3, 3, 1, 29, 148, 1, 5, 106, 5, 1, 148, 29, 1, 3, 3, 2, 20, 1, 5, 744)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred nine
Ordinal
138509th
Binary
100001110100001101
Octal
416415
Hexadecimal
0x21D0D
Base64
Ah0N
One's complement
4,294,828,786 (32-bit)
Scientific notation
1.38509 × 10⁵
As a duration
138,509 s = 1 day, 14 hours, 28 minutes, 29 seconds
In other bases
ternary (3) 21000222222
quaternary (4) 201310031
quinary (5) 13413014
senary (6) 2545125
septenary (7) 1114550
nonary (9) 230888
undecimal (11) 95078
duodecimal (12) 681a5
tridecimal (13) 4b077
tetradecimal (14) 38697
pentadecimal (15) 2b08e

As an angle

138,509° = 384 × 360° + 269°
269° ≈ 4.695 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφθʹ
Mayan (base 20)
𝋱·𝋦·𝋥·𝋩
Chinese
一十三萬八千五百零九
Chinese (financial)
壹拾參萬捌仟伍佰零玖
In other modern scripts
Eastern Arabic ١٣٨٥٠٩ Devanagari १३८५०९ Bengali ১৩৮৫০৯ Tamil ௧௩௮௫௦௯ Thai ๑๓๘๕๐๙ Tibetan ༡༣༨༥༠༩ Khmer ១៣៨៥០៩ Lao ໑໓໘໕໐໙ Burmese ၁၃၈၅၀၉

Also seen as

Unicode codepoint
𡴍
CJK Unified Ideograph-21D0D
U+21D0D
Other letter (Lo)

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

Hex color
#021D0D
RGB(2, 29, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.13.

Address
0.2.29.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.13

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 138,509 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.