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146,213

146,213 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.).

146,213 (one hundred forty-six thousand two hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23B25.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
144
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
312,641
Recamán's sequence
a(215,990) = 146,213
Square (n²)
21,378,241,369
Cube (n³)
3,125,776,805,285,597
Divisor count
2
σ(n) — sum of divisors
146,214
φ(n) — Euler's totient
146,212

Primality

146,213 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146213
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,213)
1 × 146213
First multiples
146,213 · 292,426 (double) · 438,639 · 584,852 · 731,065 · 877,278 · 1,023,491 · 1,169,704 · 1,315,917 · 1,462,130

Sums & aliquot sequence

As a sum of two squares: 17² + 382²
As consecutive integers: 73,106 + 73,107

Continued fraction of √n

√146,213 = [382; (2, 1, 1, 1, 4, 2, 3, 1, 1, 1, 3, 3, 1, 4, 2, 2, 32, 1, 5, 2, 1, 5, 1, 9, …)]

Representations

In words
one hundred forty-six thousand two hundred thirteen
Ordinal
146213th
Binary
100011101100100101
Octal
435445
Hexadecimal
0x23B25
Base64
Ajsl
One's complement
4,294,821,082 (32-bit)
Scientific notation
1.46213 × 10⁵
As a duration
146,213 s = 1 day, 16 hours, 36 minutes, 53 seconds
In other bases
ternary (3) 21102120022
quaternary (4) 203230211
quinary (5) 14134323
senary (6) 3044525
septenary (7) 1146164
nonary (9) 242508
undecimal (11) 9a941
duodecimal (12) 70745
tridecimal (13) 51722
tetradecimal (14) 3b3db
pentadecimal (15) 2d4c8

As an angle

146,213° = 406 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛσιγʹ
Mayan (base 20)
𝋲·𝋥·𝋪·𝋭
Chinese
一十四萬六千二百一十三
Chinese (financial)
壹拾肆萬陸仟貳佰壹拾參
In other modern scripts
Eastern Arabic ١٤٦٢١٣ Devanagari १४६२१३ Bengali ১৪৬২১৩ Tamil ௧௪௬௨௧௩ Thai ๑๔๖๒๑๓ Tibetan ༡༤༦༢༡༣ Khmer ១៤៦២១៣ Lao ໑໔໖໒໑໓ Burmese ၁၄၆၂၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣬥
CJK Unified Ideograph-23B25
U+23B25
Other letter (Lo)

UTF-8 encoding: F0 A3 AC A5 (4 bytes).

Hex color
#023B25
RGB(2, 59, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.59.37.

Address
0.2.59.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.59.37

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 146,213 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 146213 first appears in π at position 709,524 of the decimal expansion (the 709,524ordinal-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.