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143,513

143,513 is a prime, 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.).

143,513 (one hundred forty-three thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23099.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
180
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
315,341
Recamán's sequence
a(221,390) = 143,513
Square (n²)
20,595,981,169
Cube (n³)
2,955,791,045,506,697
Divisor count
2
σ(n) — sum of divisors
143,514
φ(n) — Euler's totient
143,512

Primality

143,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 143513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 143,513)
1 × 143513
First multiples
143,513 · 287,026 (double) · 430,539 · 574,052 · 717,565 · 861,078 · 1,004,591 · 1,148,104 · 1,291,617 · 1,435,130

Sums & aliquot sequence

As a sum of two squares: 152² + 347²
As consecutive integers: 71,756 + 71,757

Continued fraction of √n

√143,513 = [378; (1, 4, 1, 11, 1, 1, 2, 2, 1, 3, 2, 2, 2, 1, 8, 1, 7, 1, 1, 1, 1, 1, 1, 7, …)]

Period length 41 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-three thousand five hundred thirteen
Ordinal
143513th
Binary
100011000010011001
Octal
430231
Hexadecimal
0x23099
Base64
AjCZ
One's complement
4,294,823,782 (32-bit)
Scientific notation
1.43513 × 10⁵
As a duration
143,513 s = 1 day, 15 hours, 51 minutes, 53 seconds
In other bases
ternary (3) 21021212022
quaternary (4) 203002121
quinary (5) 14043023
senary (6) 3024225
septenary (7) 1135256
nonary (9) 237768
undecimal (11) 98907
duodecimal (12) 6b075
tridecimal (13) 50426
tetradecimal (14) 3a42d
pentadecimal (15) 2c7c8

As an angle

143,513° = 398 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμγφιγʹ
Mayan (base 20)
𝋱·𝋲·𝋯·𝋭
Chinese
一十四萬三千五百一十三
Chinese (financial)
壹拾肆萬參仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٤٣٥١٣ Devanagari १४३५१३ Bengali ১৪৩৫১৩ Tamil ௧௪௩௫௧௩ Thai ๑๔๓๕๑๓ Tibetan ༡༤༣༥༡༣ Khmer ១៤៣៥១៣ Lao ໑໔໓໕໑໓ Burmese ၁၄၃၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 143509, sexy with 143519.

Unicode codepoint
𣂙
CJK Unified Ideograph-23099
U+23099
Other letter (Lo)

UTF-8 encoding: F0 A3 82 99 (4 bytes).

Hex color
#023099
RGB(2, 48, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.48.153.

Address
0.2.48.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.48.153

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 143,513 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 143513 first appears in π at position 377,205 of the decimal expansion (the 377,205ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.