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146,449

146,449 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.).

146,449 (one hundred forty-six thousand four hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23C11.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
3,456
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
944,641
Recamán's sequence
a(215,518) = 146,449
Square (n²)
21,447,309,601
Cube (n³)
3,140,937,043,756,849
Divisor count
2
σ(n) — sum of divisors
146,450
φ(n) — Euler's totient
146,448

Primality

146,449 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146449
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,449)
1 × 146449
First multiples
146,449 · 292,898 (double) · 439,347 · 585,796 · 732,245 · 878,694 · 1,025,143 · 1,171,592 · 1,318,041 · 1,464,490

Sums & aliquot sequence

As a sum of two squares: 105² + 368²
As consecutive integers: 73,224 + 73,225

Continued fraction of √n

√146,449 = [382; (1, 2, 5, 3, 1, 18, 1, 6, 2, 1, 16, 3, 15, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, …)]

Representations

In words
one hundred forty-six thousand four hundred forty-nine
Ordinal
146449th
Binary
100011110000010001
Octal
436021
Hexadecimal
0x23C11
Base64
AjwR
One's complement
4,294,820,846 (32-bit)
Scientific notation
1.46449 × 10⁵
As a duration
146,449 s = 1 day, 16 hours, 40 minutes, 49 seconds
In other bases
ternary (3) 21102220001
quaternary (4) 203300101
quinary (5) 14141244
senary (6) 3050001
septenary (7) 1146652
nonary (9) 242801
undecimal (11) a0036
duodecimal (12) 70901
tridecimal (13) 51874
tetradecimal (14) 3b529
pentadecimal (15) 2d5d4

As an angle

146,449° = 406 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛυμθʹ
Mayan (base 20)
𝋲·𝋦·𝋢·𝋩
Chinese
一十四萬六千四百四十九
Chinese (financial)
壹拾肆萬陸仟肆佰肆拾玖
In other modern scripts
Eastern Arabic ١٤٦٤٤٩ Devanagari १४६४४९ Bengali ১৪৬৪৪৯ Tamil ௧௪௬௪௪௯ Thai ๑๔๖๔๔๙ Tibetan ༡༤༦༤༤༩ Khmer ១៤៦៤៤៩ Lao ໑໔໖໔໔໙ Burmese ၁၄၆၄၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𣰑
CJK Unified Ideograph-23C11
U+23C11
Other letter (Lo)

UTF-8 encoding: F0 A3 B0 91 (4 bytes).

Hex color
#023C11
RGB(2, 60, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.60.17.

Address
0.2.60.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.60.17

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 146,449 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 146449 first appears in π at position 725,783 of the decimal expansion (the 725,783ordinal-suffix:rd 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.