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148,201

148,201 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.).

148,201 (one hundred forty-eight thousand two hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x242E9.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
102,841
Recamán's sequence
a(212,014) = 148,201
Square (n²)
21,963,536,401
Cube (n³)
3,255,018,058,164,601
Divisor count
2
σ(n) — sum of divisors
148,202
φ(n) — Euler's totient
148,200

Primality

148,201 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148201
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,201)
1 × 148201
First multiples
148,201 · 296,402 (double) · 444,603 · 592,804 · 741,005 · 889,206 · 1,037,407 · 1,185,608 · 1,333,809 · 1,482,010

Sums & aliquot sequence

As a sum of two squares: 240² + 301²
As consecutive integers: 74,100 + 74,101

Continued fraction of √n

√148,201 = [384; (1, 31, 12, 5, 3, 1, 3, 1, 4, 1, 1, 2, 6, 2, 13, 3, 1, 1, 36, 10, 1, 1, 1, 255, …)]

Representations

In words
one hundred forty-eight thousand two hundred one
Ordinal
148201st
Binary
100100001011101001
Octal
441351
Hexadecimal
0x242E9
Base64
AkLp
One's complement
4,294,819,094 (32-bit)
Scientific notation
1.48201 × 10⁵
As a duration
148,201 s = 1 day, 17 hours, 10 minutes, 1 second
In other bases
ternary (3) 21112021221
quaternary (4) 210023221
quinary (5) 14220301
senary (6) 3102041
septenary (7) 1155034
nonary (9) 245257
undecimal (11) a1389
duodecimal (12) 71921
tridecimal (13) 525c1
tetradecimal (14) 3c01b
pentadecimal (15) 2dda1

As an angle

148,201° = 411 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓏺
Greek (Milesian)
͵ρμησαʹ
Mayan (base 20)
𝋲·𝋪·𝋪·𝋡
Chinese
一十四萬八千二百零一
Chinese (financial)
壹拾肆萬捌仟貳佰零壹
In other modern scripts
Eastern Arabic ١٤٨٢٠١ Devanagari १४८२०१ Bengali ১৪৮২০১ Tamil ௧௪௮௨௦௧ Thai ๑๔๘๒๐๑ Tibetan ༡༤༨༢༠༡ Khmer ១៤៨២០១ Lao ໑໔໘໒໐໑ Burmese ၁၄၈၂၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 148199, sexy with 148207.

Unicode codepoint
𤋩
CJK Unified Ideograph-242E9
U+242E9
Other letter (Lo)

UTF-8 encoding: F0 A4 8B A9 (4 bytes).

Hex color
#0242E9
RGB(2, 66, 233)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.233.

Address
0.2.66.233
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.233

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 148,201 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 148201 first appears in π at position 453,363 of the decimal expansion (the 453,363ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.