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148,361

148,361 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.).

148,361 (one hundred forty-eight thousand three hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24389.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
163,841
Recamán's sequence
a(211,694) = 148,361
Square (n²)
22,010,986,321
Cube (n³)
3,265,571,941,569,881
Divisor count
2
σ(n) — sum of divisors
148,362
φ(n) — Euler's totient
148,360

Primality

148,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,361)
1 × 148361
First multiples
148,361 · 296,722 (double) · 445,083 · 593,444 · 741,805 · 890,166 · 1,038,527 · 1,186,888 · 1,335,249 · 1,483,610

Sums & aliquot sequence

As a sum of two squares: 181² + 340²
As consecutive integers: 74,180 + 74,181

Continued fraction of √n

√148,361 = [385; (5, 1, 1, 1, 30, 5, 1, 69, 5, 18, 1, 1, 2, 3, 2, 8, 1, 5, 2, 8, 1, 1, 1, 1, …)]

Representations

In words
one hundred forty-eight thousand three hundred sixty-one
Ordinal
148361st
Binary
100100001110001001
Octal
441611
Hexadecimal
0x24389
Base64
AkOJ
One's complement
4,294,818,934 (32-bit)
Scientific notation
1.48361 × 10⁵
As a duration
148,361 s = 1 day, 17 hours, 12 minutes, 41 seconds
In other bases
ternary (3) 21112111212
quaternary (4) 210032021
quinary (5) 14221421
senary (6) 3102505
septenary (7) 1155353
nonary (9) 245455
undecimal (11) a1514
duodecimal (12) 71a35
tridecimal (13) 526b5
tetradecimal (14) 3c0d3
pentadecimal (15) 2de5b

As an angle

148,361° = 412 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρμητξαʹ
Mayan (base 20)
𝋲·𝋪·𝋲·𝋡
Chinese
一十四萬八千三百六十一
Chinese (financial)
壹拾肆萬捌仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١٤٨٣٦١ Devanagari १४८३६१ Bengali ১৪৮৩৬১ Tamil ௧௪௮௩௬௧ Thai ๑๔๘๓๖๑ Tibetan ༡༤༨༣༦༡ Khmer ១៤៨៣៦១ Lao ໑໔໘໓໖໑ Burmese ၁၄၈၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 148367.

Unicode codepoint
𤎉
CJK Unified Ideograph-24389
U+24389
Other letter (Lo)

UTF-8 encoding: F0 A4 8E 89 (4 bytes).

Hex color
#024389
RGB(2, 67, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.67.137.

Address
0.2.67.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.67.137

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 148,361 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 148361 first appears in π at position 683,829 of the decimal expansion (the 683,829ordinal-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.