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135,713

135,713 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.).

135,713 (one hundred thirty-five thousand seven hundred thirteen) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 113 × 1,201. Written other ways, in hexadecimal, 0x21221.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
317,531
Square (n²)
18,418,018,369
Cube (n³)
2,499,564,526,912,097
Divisor count
4
σ(n) — sum of divisors
137,028
φ(n) — Euler's totient
134,400
Sum of prime factors
1,314

Primality

Prime factorization: 113 × 1201

Nearest primes: 135,701 (−12) · 135,719 (+6)

Divisors & multiples

All divisors (4)
1 · 113 · 1201 · 135713
Aliquot sum (sum of proper divisors): 1,315
Factor pairs (a × b = 135,713)
1 × 135713
113 × 1201
First multiples
135,713 · 271,426 (double) · 407,139 · 542,852 · 678,565 · 814,278 · 949,991 · 1,085,704 · 1,221,417 · 1,357,130

Sums & aliquot sequence

As a sum of two squares: 17² + 368² = 32² + 367²
As consecutive integers: 67,856 + 67,857 1,145 + 1,146 + … + 1,257 488 + 489 + … + 713
Aliquot sequence: 135,713 1,315 269 1 0 — terminates at zero

Continued fraction of √n

√135,713 = [368; (2, 1, 1, 4, 1, 2, 2, 1, 14, 2, 1, 91, 2, 2, 1, 3, 1, 4, 6, 2, 1, 2, 2, 1, …)]

Representations

In words
one hundred thirty-five thousand seven hundred thirteen
Ordinal
135713th
Binary
100001001000100001
Octal
411041
Hexadecimal
0x21221
Base64
AhIh
One's complement
4,294,831,582 (32-bit)
Scientific notation
1.35713 × 10⁵
As a duration
135,713 s = 1 day, 13 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 20220011102
quaternary (4) 201020201
quinary (5) 13320323
senary (6) 2524145
septenary (7) 1103444
nonary (9) 226142
undecimal (11) 92a66
duodecimal (12) 66655
tridecimal (13) 49a06
tetradecimal (14) 3765b
pentadecimal (15) 2a328

As an angle

135,713° = 376 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλεψιγʹ
Mayan (base 20)
𝋰·𝋳·𝋥·𝋭
Chinese
一十三萬五千七百一十三
Chinese (financial)
壹拾參萬伍仟柒佰壹拾參
In other modern scripts
Eastern Arabic ١٣٥٧١٣ Devanagari १३५७१३ Bengali ১৩৫৭১৩ Tamil ௧௩௫௭௧௩ Thai ๑๓๕๗๑๓ Tibetan ༡༣༥༧༡༣ Khmer ១៣៥៧១៣ Lao ໑໓໕໗໑໓ Burmese ၁၃၅၇၁၃

Also seen as

Unicode codepoint
𡈡
CJK Unified Ideograph-21221
U+21221
Other letter (Lo)

UTF-8 encoding: F0 A1 88 A1 (4 bytes).

Hex color
#021221
RGB(2, 18, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.18.33.

Address
0.2.18.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.18.33

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 135,713 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 135713 first appears in π at position 183,949 of the decimal expansion (the 183,949ordinal-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.