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146,117

146,117 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.).

146,117 (one hundred forty-six thousand one hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23AC5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
168
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
711,641
Recamán's sequence
a(216,182) = 146,117
Square (n²)
21,350,177,689
Cube (n³)
3,119,623,913,383,613
Divisor count
2
σ(n) — sum of divisors
146,118
φ(n) — Euler's totient
146,116

Primality

146,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,117)
1 × 146117
First multiples
146,117 · 292,234 (double) · 438,351 · 584,468 · 730,585 · 876,702 · 1,022,819 · 1,168,936 · 1,315,053 · 1,461,170

Sums & aliquot sequence

As a sum of two squares: 79² + 374²
As consecutive integers: 73,058 + 73,059

Continued fraction of √n

√146,117 = [382; (3, 1, 23, 1, 10, 3, 1, 1, 7, 3, 4, 1, 5, 1, 1, 39, 1, 2, 3, 3, 1, 2, 2, 1, …)]

Representations

In words
one hundred forty-six thousand one hundred seventeen
Ordinal
146117th
Binary
100011101011000101
Octal
435305
Hexadecimal
0x23AC5
Base64
AjrF
One's complement
4,294,821,178 (32-bit)
Scientific notation
1.46117 × 10⁵
As a duration
146,117 s = 1 day, 16 hours, 35 minutes, 17 seconds
In other bases
ternary (3) 21102102202
quaternary (4) 203223011
quinary (5) 14133432
senary (6) 3044245
septenary (7) 1145666
nonary (9) 242382
undecimal (11) 9a864
duodecimal (12) 70685
tridecimal (13) 5167a
tetradecimal (14) 3b36d
pentadecimal (15) 2d462

As an angle

146,117° = 405 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛριζʹ
Mayan (base 20)
𝋲·𝋥·𝋥·𝋱
Chinese
一十四萬六千一百一十七
Chinese (financial)
壹拾肆萬陸仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ١٤٦١١٧ Devanagari १४६११७ Bengali ১৪৬১১৭ Tamil ௧௪௬௧௧௭ Thai ๑๔๖๑๑๗ Tibetan ༡༤༦༡༡༧ Khmer ១៤៦១១៧ Lao ໑໔໖໑໑໗ Burmese ၁၄၆၁၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣫅
CJK Unified Ideograph-23Ac5
U+23AC5
Other letter (Lo)

UTF-8 encoding: F0 A3 AB 85 (4 bytes).

Hex color
#023AC5
RGB(2, 58, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.58.197.

Address
0.2.58.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.58.197

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 146,117 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 146117 first appears in π at position 240,662 of the decimal expansion (the 240,662ordinal-suffix:nd 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.