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148,513

148,513 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.).

148,513 (one hundred forty-eight 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, 0x24421.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
480
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
315,841
Recamán's sequence
a(42,646) = 148,513
Square (n²)
22,056,111,169
Cube (n³)
3,275,619,238,041,697
Divisor count
2
σ(n) — sum of divisors
148,514
φ(n) — Euler's totient
148,512

Primality

148,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,513)
1 × 148513
First multiples
148,513 · 297,026 (double) · 445,539 · 594,052 · 742,565 · 891,078 · 1,039,591 · 1,188,104 · 1,336,617 · 1,485,130

Sums & aliquot sequence

As a sum of two squares: 272² + 273²
As consecutive integers: 74,256 + 74,257

Continued fraction of √n

√148,513 = [385; (2, 1, 2, 13, 6, 1, 4, 5, 1, 1, 2, 3, 3, 36, 2, 1, 1, 31, 1, 1, 15, 1, 1, 4, …)]

Representations

In words
one hundred forty-eight thousand five hundred thirteen
Ordinal
148513th
Binary
100100010000100001
Octal
442041
Hexadecimal
0x24421
Base64
AkQh
One's complement
4,294,818,782 (32-bit)
Scientific notation
1.48513 × 10⁵
As a duration
148,513 s = 1 day, 17 hours, 15 minutes, 13 seconds
In other bases
ternary (3) 21112201111
quaternary (4) 210100201
quinary (5) 14223023
senary (6) 3103321
septenary (7) 1155661
nonary (9) 245644
undecimal (11) a1642
duodecimal (12) 71b41
tridecimal (13) 527a1
tetradecimal (14) 3c1a1
pentadecimal (15) 2e00d

As an angle

148,513° = 412 × 360° + 193°
193° ≈ 3.368 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμηφιγʹ
Mayan (base 20)
𝋲·𝋫·𝋥·𝋭
Chinese
一十四萬八千五百一十三
Chinese (financial)
壹拾肆萬捌仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٤٨٥١٣ Devanagari १४८५१३ Bengali ১৪৮৫১৩ Tamil ௧௪௮௫௧௩ Thai ๑๔๘๕๑๓ Tibetan ༡༤༨༥༡༣ Khmer ១៤៨៥១៣ Lao ໑໔໘໕໑໓ Burmese ၁၄၈၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 148517.

Unicode codepoint
𤐡
CJK Unified Ideograph-24421
U+24421
Other letter (Lo)

UTF-8 encoding: F0 A4 90 A1 (4 bytes).

Hex color
#024421
RGB(2, 68, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.68.33.

Address
0.2.68.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.68.33

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 148,513 and was likely granted around 1873.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.