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148,501

148,501 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.).

148,501 (one hundred forty-eight thousand five hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x24415.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
105,841
Recamán's sequence
a(480,689) = 148,501
Square (n²)
22,052,547,001
Cube (n³)
3,274,825,282,195,501
Divisor count
2
σ(n) — sum of divisors
148,502
φ(n) — Euler's totient
148,500

Primality

148,501 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148501
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,501)
1 × 148501
First multiples
148,501 · 297,002 (double) · 445,503 · 594,004 · 742,505 · 891,006 · 1,039,507 · 1,188,008 · 1,336,509 · 1,485,010

Sums & aliquot sequence

As a sum of two squares: 199² + 330²
As consecutive integers: 74,250 + 74,251

Continued fraction of √n

√148,501 = [385; (2, 1, 3, 1, 3, 1, 2, 1, 1, 2, 3, 2, 1, 63, 1, 1, 7, 1, 6, 1, 9, 3, 1, 2, …)]

Representations

In words
one hundred forty-eight thousand five hundred one
Ordinal
148501st
Binary
100100010000010101
Octal
442025
Hexadecimal
0x24415
Base64
AkQV
One's complement
4,294,818,794 (32-bit)
Scientific notation
1.48501 × 10⁵
As a duration
148,501 s = 1 day, 17 hours, 15 minutes, 1 second
In other bases
ternary (3) 21112201001
quaternary (4) 210100111
quinary (5) 14223001
senary (6) 3103301
septenary (7) 1155643
nonary (9) 245631
undecimal (11) a1631
duodecimal (12) 71b31
tridecimal (13) 52792
tetradecimal (14) 3c193
pentadecimal (15) 2e001

As an angle

148,501° = 412 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ρμηφαʹ
Mayan (base 20)
𝋲·𝋫·𝋥·𝋡
Chinese
一十四萬八千五百零一
Chinese (financial)
壹拾肆萬捌仟伍佰零壹
In other modern scripts
Eastern Arabic ١٤٨٥٠١ Devanagari १४८५०१ Bengali ১৪৮৫০১ Tamil ௧௪௮௫௦௧ Thai ๑๔๘๕๐๑ Tibetan ༡༤༨༥༠༡ Khmer ១៤៨៥០១ Lao ໑໔໘໕໐໑ Burmese ၁၄၈၅၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𤐕
CJK Unified Ideograph-24415
U+24415
Other letter (Lo)

UTF-8 encoding: F0 A4 90 95 (4 bytes).

Hex color
#024415
RGB(2, 68, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.68.21.

Address
0.2.68.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.68.21

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 148,501 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 148501 first appears in π at position 18,441 of the decimal expansion (the 18,441ordinal-suffix:st 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.