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148,013

148,013 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.).

148,013 (one hundred forty-eight thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2422D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
310,841
Recamán's sequence
a(212,390) = 148,013
Square (n²)
21,907,848,169
Cube (n³)
3,242,646,331,038,197
Divisor count
2
σ(n) — sum of divisors
148,014
φ(n) — Euler's totient
148,012

Primality

148,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 148013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 148,013)
1 × 148013
First multiples
148,013 · 296,026 (double) · 444,039 · 592,052 · 740,065 · 888,078 · 1,036,091 · 1,184,104 · 1,332,117 · 1,480,130

Sums & aliquot sequence

As a sum of two squares: 218² + 317²
As consecutive integers: 74,006 + 74,007

Continued fraction of √n

√148,013 = [384; (1, 2, 1, 1, 1, 2, 2, 3, 33, 6, 5, 1, 2, 2, 2, 1, 2, 1, 2, 7, 9, 1, 1, 1, …)]

Period length 47 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-eight thousand thirteen
Ordinal
148013th
Binary
100100001000101101
Octal
441055
Hexadecimal
0x2422D
Base64
AkIt
One's complement
4,294,819,282 (32-bit)
Scientific notation
1.48013 × 10⁵
As a duration
148,013 s = 1 day, 17 hours, 6 minutes, 53 seconds
In other bases
ternary (3) 21112000222
quaternary (4) 210020231
quinary (5) 14214023
senary (6) 3101125
septenary (7) 1154345
nonary (9) 245028
undecimal (11) a1228
duodecimal (12) 717a5
tridecimal (13) 524a8
tetradecimal (14) 3bd25
pentadecimal (15) 2dcc8

As an angle

148,013° = 411 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμηιγʹ
Mayan (base 20)
𝋲·𝋪·𝋠·𝋭
Chinese
一十四萬八千零一十三
Chinese (financial)
壹拾肆萬捌仟零壹拾參
In other modern scripts
Eastern Arabic ١٤٨٠١٣ Devanagari १४८०१३ Bengali ১৪৮০১৩ Tamil ௧௪௮௦௧௩ Thai ๑๔๘๐๑๓ Tibetan ༡༤༨༠༡༣ Khmer ១៤៨០១៣ Lao ໑໔໘໐໑໓ Burmese ၁၄၈၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𤈭
CJK Unified Ideograph-2422D
U+2422D
Other letter (Lo)

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

Hex color
#02422D
RGB(2, 66, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.66.45.

Address
0.2.66.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.66.45

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 148,013 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 148013 first appears in π at position 372,496 of the decimal expansion (the 372,496ordinal-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.