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148,021

148,021 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.).

148,021 (one hundred forty-eight thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24235.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
120,841
Recamán's sequence
a(212,374) = 148,021
Square (n²)
21,910,216,441
Cube (n³)
3,243,172,147,813,261
Divisor count
2
σ(n) — sum of divisors
148,022
φ(n) — Euler's totient
148,020

Primality

148,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,021)
1 × 148021
First multiples
148,021 · 296,042 (double) · 444,063 · 592,084 · 740,105 · 888,126 · 1,036,147 · 1,184,168 · 1,332,189 · 1,480,210

Sums & aliquot sequence

As a sum of two squares: 86² + 375²
As consecutive integers: 74,010 + 74,011

Continued fraction of √n

√148,021 = [384; (1, 2, 1, 3, 2, 2, 3, 1, 6, 2, 2, 1, 1, 4, 3, 6, 2, 1, 1, 1, 2, 3, 8, 1, …)]

Representations

In words
one hundred forty-eight thousand twenty-one
Ordinal
148021st
Binary
100100001000110101
Octal
441065
Hexadecimal
0x24235
Base64
AkI1
One's complement
4,294,819,274 (32-bit)
Scientific notation
1.48021 × 10⁵
As a duration
148,021 s = 1 day, 17 hours, 7 minutes, 1 second
In other bases
ternary (3) 21112001021
quaternary (4) 210020311
quinary (5) 14214041
senary (6) 3101141
septenary (7) 1154356
nonary (9) 245037
undecimal (11) a1235
duodecimal (12) 717b1
tridecimal (13) 524b3
tetradecimal (14) 3bd2d
pentadecimal (15) 2dcd1

As an angle

148,021° = 411 × 360° + 61°
61° ≈ 1.065 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρμηκαʹ
Mayan (base 20)
𝋲·𝋪·𝋡·𝋡
Chinese
一十四萬八千零二十一
Chinese (financial)
壹拾肆萬捌仟零貳拾壹
In other modern scripts
Eastern Arabic ١٤٨٠٢١ Devanagari १४८०२१ Bengali ১৪৮০২১ Tamil ௧௪௮௦௨௧ Thai ๑๔๘๐๒๑ Tibetan ༡༤༨༠༢༡ Khmer ១៤៨០២១ Lao ໑໔໘໐໒໑ Burmese ၁၄၈၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𤈵
CJK Unified Ideograph-24235
U+24235
Other letter (Lo)

UTF-8 encoding: F0 A4 88 B5 (4 bytes).

Hex color
#024235
RGB(2, 66, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.53.

Address
0.2.66.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.53

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 148,021 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 148021 first appears in π at position 391,379 of the decimal expansion (the 391,379ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.