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146,513

146,513 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.).

146,513 (one hundred forty-six thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23C51.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
315,641
Recamán's sequence
a(215,390) = 146,513
Square (n²)
21,466,059,169
Cube (n³)
3,145,056,727,027,697
Divisor count
2
σ(n) — sum of divisors
146,514
φ(n) — Euler's totient
146,512

Primality

146,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,513)
1 × 146513
First multiples
146,513 · 293,026 (double) · 439,539 · 586,052 · 732,565 · 879,078 · 1,025,591 · 1,172,104 · 1,318,617 · 1,465,130

Sums & aliquot sequence

As a sum of two squares: 148² + 353²
As consecutive integers: 73,256 + 73,257

Continued fraction of √n

√146,513 = [382; (1, 3, 2, 1, 5, 1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 11, 2, 1, 15, 1, 1, 1, 1, …)]

Representations

In words
one hundred forty-six thousand five hundred thirteen
Ordinal
146513th
Binary
100011110001010001
Octal
436121
Hexadecimal
0x23C51
Base64
AjxR
One's complement
4,294,820,782 (32-bit)
Scientific notation
1.46513 × 10⁵
As a duration
146,513 s = 1 day, 16 hours, 41 minutes, 53 seconds
In other bases
ternary (3) 21102222102
quaternary (4) 203301101
quinary (5) 14142023
senary (6) 3050145
septenary (7) 1150103
nonary (9) 242872
undecimal (11) a0094
duodecimal (12) 70955
tridecimal (13) 518c3
tetradecimal (14) 3b573
pentadecimal (15) 2d628

As an angle

146,513° = 406 × 360° + 353°
353° ≈ 6.161 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛφιγʹ
Mayan (base 20)
𝋲·𝋦·𝋥·𝋭
Chinese
一十四萬六千五百一十三
Chinese (financial)
壹拾肆萬陸仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١٤٦٥١٣ Devanagari १४६५१३ Bengali ১৪৬৫১৩ Tamil ௧௪௬௫௧௩ Thai ๑๔๖๕๑๓ Tibetan ༡༤༦༥༡༣ Khmer ១៤៦៥១៣ Lao ໑໔໖໕໑໓ Burmese ၁၄၆၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 146519.

Unicode codepoint
𣱑
CJK Unified Ideograph-23C51
U+23C51
Other letter (Lo)

UTF-8 encoding: F0 A3 B1 91 (4 bytes).

Hex color
#023C51
RGB(2, 60, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.81.

Address
0.2.60.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.81

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 146,513 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 146513 first appears in π at position 80,672 of the decimal expansion (the 80,672ordinal-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.