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138,713

138,713 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.).

138,713 (one hundred thirty-eight thousand seven hundred thirteen) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 23 × 37 × 163. Written other ways, in hexadecimal, 0x21DD9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
317,831
Recamán's sequence
a(491,401) = 138,713
Square (n²)
19,241,296,369
Cube (n³)
2,669,017,943,233,097
Divisor count
8
σ(n) — sum of divisors
149,568
φ(n) — Euler's totient
128,304
Sum of prime factors
223

Primality

Prime factorization: 23 × 37 × 163

Nearest primes: 138,683 (−30) · 138,727 (+14)

Divisors & multiples

All divisors (8)
1 · 23 · 37 · 163 · 851 · 3749 · 6031 · 138713
Aliquot sum (sum of proper divisors): 10,855
Factor pairs (a × b = 138,713)
1 × 138713
23 × 6031
37 × 3749
163 × 851
First multiples
138,713 · 277,426 (double) · 416,139 · 554,852 · 693,565 · 832,278 · 970,991 · 1,109,704 · 1,248,417 · 1,387,130

Sums & aliquot sequence

As consecutive integers: 69,356 + 69,357 6,020 + 6,021 + … + 6,042 3,731 + 3,732 + … + 3,767 2,993 + 2,994 + … + 3,038
Aliquot sequence: 138,713 10,855 3,257 1 0 — terminates at zero

Continued fraction of √n

√138,713 = [372; (2, 3, 1, 4, 6, 2, 3, 1, 3, 2, 1, 17, 2, 9, 5, 3, 67, 2, 2, 10, 11, 46, 2, 6, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred thirteen
Ordinal
138713th
Binary
100001110111011001
Octal
416731
Hexadecimal
0x21DD9
Base64
Ah3Z
One's complement
4,294,828,582 (32-bit)
Scientific notation
1.38713 × 10⁵
As a duration
138,713 s = 1 day, 14 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 21001021112
quaternary (4) 201313121
quinary (5) 13414323
senary (6) 2550105
septenary (7) 1115261
nonary (9) 231245
undecimal (11) 95243
duodecimal (12) 68335
tridecimal (13) 4b1a3
tetradecimal (14) 387a1
pentadecimal (15) 2b178

As an angle

138,713° = 385 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρληψιγʹ
Mayan (base 20)
𝋱·𝋦·𝋯·𝋭
Chinese
一十三萬八千七百一十三
Chinese (financial)
壹拾參萬捌仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٣٨٧١٣ Devanagari १३८७१३ Bengali ১৩৮৭১৩ Tamil ௧௩௮௭௧௩ Thai ๑๓๘๗๑๓ Tibetan ༡༣༨༧༡༣ Khmer ១៣៨៧១៣ Lao ໑໓໘໗໑໓ Burmese ၁၃၈၇၁၃

Also seen as

Unicode codepoint
𡷙
CJK Unified Ideograph-21Dd9
U+21DD9
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 99 (4 bytes).

Hex color
#021DD9
RGB(2, 29, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.217.

Address
0.2.29.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.217

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 138,713 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 138713 first appears in π at position 231,781 of the decimal expansion (the 231,781ordinal-suffix:st 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

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