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137,813

137,813 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.).

137,813 (one hundred thirty-seven thousand eight hundred thirteen) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 13 × 10,601. Written other ways, in hexadecimal, 0x21A55.

Arithmetic Number Centered Square Cube-Free Deficient Number Evil Number Gapful Number Happy Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
318,731
Recamán's sequence
a(493,201) = 137,813
Square (n²)
18,992,422,969
Cube (n³)
2,617,402,786,626,797
Divisor count
4
σ(n) — sum of divisors
148,428
φ(n) — Euler's totient
127,200
Sum of prime factors
10,614

Primality

Prime factorization: 13 × 10601

Nearest primes: 137,803 (−10) · 137,827 (+14)

Divisors & multiples

All divisors (4)
1 · 13 · 10601 · 137813
Aliquot sum (sum of proper divisors): 10,615
Factor pairs (a × b = 137,813)
1 × 137813
13 × 10601
First multiples
137,813 · 275,626 (double) · 413,439 · 551,252 · 689,065 · 826,878 · 964,691 · 1,102,504 · 1,240,317 · 1,378,130

Sums & aliquot sequence

As a sum of two squares: 142² + 343² = 262² + 263²
As consecutive integers: 68,906 + 68,907 10,595 + 10,596 + … + 10,607 5,288 + 5,289 + … + 5,313
Aliquot sequence: 137,813 10,615 3,353 487 1 0 — terminates at zero

Continued fraction of √n

√137,813 = [371; (4, 3, 5, 1, 4, 1, 4, 1, 3, 17, 185, 1, 1, 3, 1, 4, 2, 2, 2, 2, 2, 2, 4, 1, …)]

Period length 39 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred thirteen
Ordinal
137813th
Binary
100001101001010101
Octal
415125
Hexadecimal
0x21A55
Base64
AhpV
One's complement
4,294,829,482 (32-bit)
Scientific notation
1.37813 × 10⁵
As a duration
137,813 s = 1 day, 14 hours, 16 minutes, 53 seconds
In other bases
ternary (3) 21000001012
quaternary (4) 201221111
quinary (5) 13402223
senary (6) 2542005
septenary (7) 1112534
nonary (9) 230035
undecimal (11) 945a5
duodecimal (12) 67905
tridecimal (13) 4a960
tetradecimal (14) 3831b
pentadecimal (15) 2ac78

As an angle

137,813° = 382 × 360° + 293°
293° ≈ 5.114 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωιγʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋭
Chinese
一十三萬七千八百一十三
Chinese (financial)
壹拾參萬柒仟捌佰壹拾參
In other modern scripts
Eastern Arabic ١٣٧٨١٣ Devanagari १३७८१३ Bengali ১৩৭৮১৩ Tamil ௧௩௭௮௧௩ Thai ๑๓๗๘๑๓ Tibetan ༡༣༧༨༡༣ Khmer ១៣៧៨១៣ Lao ໑໓໗໘໑໓ Burmese ၁၃၇၈၁၃

Also seen as

Unicode codepoint
𡩕
CJK Unified Ideograph-21A55
U+21A55
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 95 (4 bytes).

Hex color
#021A55
RGB(2, 26, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.85.

Address
0.2.26.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.85

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 137,813 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 137813 first appears in π at position 16,248 of the decimal expansion (the 16,248ordinal-suffix:th 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.