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146,141

146,141 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.).

146,141 (one hundred forty-six thousand one hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23ADD.

Arithmetic Number Chen Prime Cube-Free Deficient 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
96
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
141,641
Recamán's sequence
a(216,134) = 146,141
Square (n²)
21,357,191,881
Cube (n³)
3,121,161,378,681,221
Divisor count
2
σ(n) — sum of divisors
146,142
φ(n) — Euler's totient
146,140

Primality

146,141 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146141
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,141)
1 × 146141
First multiples
146,141 · 292,282 (double) · 438,423 · 584,564 · 730,705 · 876,846 · 1,022,987 · 1,169,128 · 1,315,269 · 1,461,410

Sums & aliquot sequence

As a sum of two squares: 50² + 379²
As consecutive integers: 73,070 + 73,071

Continued fraction of √n

√146,141 = [382; (3, 1, 1, 10, 1, 5, 3, 1, 26, 1, 1, 4, 1, 19, 1, 5, 2, 8, 1, 3, 152, 1, 1, 1, …)]

Representations

In words
one hundred forty-six thousand one hundred forty-one
Ordinal
146141st
Binary
100011101011011101
Octal
435335
Hexadecimal
0x23ADD
Base64
Ajrd
One's complement
4,294,821,154 (32-bit)
Scientific notation
1.46141 × 10⁵
As a duration
146,141 s = 1 day, 16 hours, 35 minutes, 41 seconds
In other bases
ternary (3) 21102110122
quaternary (4) 203223131
quinary (5) 14134031
senary (6) 3044325
septenary (7) 1146032
nonary (9) 242418
undecimal (11) 9a886
duodecimal (12) 706a5
tridecimal (13) 51698
tetradecimal (14) 3b389
pentadecimal (15) 2d47b

As an angle

146,141° = 405 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρμϛρμαʹ
Mayan (base 20)
𝋲·𝋥·𝋧·𝋡
Chinese
一十四萬六千一百四十一
Chinese (financial)
壹拾肆萬陸仟壹佰肆拾壹
In other modern scripts
Eastern Arabic ١٤٦١٤١ Devanagari १४६१४१ Bengali ১৪৬১৪১ Tamil ௧௪௬௧௪௧ Thai ๑๔๖๑๔๑ Tibetan ༡༤༦༡༤༡ Khmer ១៤៦១៤១ Lao ໑໔໖໑໔໑ Burmese ၁၄၆၁၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣫝
CJK Unified Ideograph-23Add
U+23ADD
Other letter (Lo)

UTF-8 encoding: F0 A3 AB 9D (4 bytes).

Hex color
#023ADD
RGB(2, 58, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.221.

Address
0.2.58.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.221

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 146,141 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 146141 first appears in π at position 36,764 of the decimal expansion (the 36,764ordinal-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.