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146,749

146,749 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.).

146,749 (one hundred forty-six thousand seven 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, 0x23D3D.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
6,048
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
947,641
Recamán's sequence
a(214,918) = 146,749
Square (n²)
21,535,269,001
Cube (n³)
3,160,279,190,627,749
Divisor count
2
σ(n) — sum of divisors
146,750
φ(n) — Euler's totient
146,748

Primality

146,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,749)
1 × 146749
First multiples
146,749 · 293,498 (double) · 440,247 · 586,996 · 733,745 · 880,494 · 1,027,243 · 1,173,992 · 1,320,741 · 1,467,490

Sums & aliquot sequence

As a sum of two squares: 218² + 315²
As consecutive integers: 73,374 + 73,375

Continued fraction of √n

√146,749 = [383; (12, 1, 3, 3, 4, 2, 1, 1, 5, 4, 1, 2, 2, 1, 8, 9, 1, 1, 2, 1, 1, 108, 1, 6, …)]

Representations

In words
one hundred forty-six thousand seven hundred forty-nine
Ordinal
146749th
Binary
100011110100111101
Octal
436475
Hexadecimal
0x23D3D
Base64
Aj09
One's complement
4,294,820,546 (32-bit)
Scientific notation
1.46749 × 10⁵
As a duration
146,749 s = 1 day, 16 hours, 45 minutes, 49 seconds
In other bases
ternary (3) 21110022011
quaternary (4) 203310331
quinary (5) 14143444
senary (6) 3051221
septenary (7) 1150561
nonary (9) 243264
undecimal (11) a0289
duodecimal (12) 70b11
tridecimal (13) 51a45
tetradecimal (14) 3b6a1
pentadecimal (15) 2d734

As an angle

146,749° = 407 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛψμθʹ
Mayan (base 20)
𝋲·𝋦·𝋱·𝋩
Chinese
一十四萬六千七百四十九
Chinese (financial)
壹拾肆萬陸仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ١٤٦٧٤٩ Devanagari १४६७४९ Bengali ১৪৬৭৪৯ Tamil ௧௪௬௭௪௯ Thai ๑๔๖๗๔๙ Tibetan ༡༤༦༧༤༩ Khmer ១៤៦៧៤៩ Lao ໑໔໖໗໔໙ Burmese ၁၄၆၇၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 146743.

Unicode codepoint
𣴽
CJK Unified Ideograph-23D3D
U+23D3D
Other letter (Lo)

UTF-8 encoding: F0 A3 B4 BD (4 bytes).

Hex color
#023D3D
RGB(2, 61, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.61.

Address
0.2.61.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.61

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 146,749 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 146749 first appears in π at position 326,600 of the decimal expansion (the 326,600ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.