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146,837

146,837 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.).

146,837 (one hundred forty-six thousand eight hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23D95.

Arithmetic Number Cousin 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
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
738,641
Recamán's sequence
a(214,742) = 146,837
Square (n²)
21,561,104,569
Cube (n³)
3,165,967,911,598,253
Divisor count
2
σ(n) — sum of divisors
146,838
φ(n) — Euler's totient
146,836

Primality

146,837 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146837
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,837)
1 × 146837
First multiples
146,837 · 293,674 (double) · 440,511 · 587,348 · 734,185 · 881,022 · 1,027,859 · 1,174,696 · 1,321,533 · 1,468,370

Sums & aliquot sequence

As a sum of two squares: 134² + 359²
As consecutive integers: 73,418 + 73,419

Continued fraction of √n

√146,837 = [383; (5, 5, 1, 1, 1, 6, 7, 2, 3, 1, 1, 69, 9, 4, 1, 1, 3, 1, 1, 10, 1, 2, 2, 3, …)]

Representations

In words
one hundred forty-six thousand eight hundred thirty-seven
Ordinal
146837th
Binary
100011110110010101
Octal
436625
Hexadecimal
0x23D95
Base64
Aj2V
One's complement
4,294,820,458 (32-bit)
Scientific notation
1.46837 × 10⁵
As a duration
146,837 s = 1 day, 16 hours, 47 minutes, 17 seconds
In other bases
ternary (3) 21110102102
quaternary (4) 203312111
quinary (5) 14144322
senary (6) 3051445
septenary (7) 1151045
nonary (9) 243372
undecimal (11) a0359
duodecimal (12) 70b85
tridecimal (13) 51ab2
tetradecimal (14) 3b725
pentadecimal (15) 2d792

As an angle

146,837° = 407 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛωλζʹ
Mayan (base 20)
𝋲·𝋧·𝋡·𝋱
Chinese
一十四萬六千八百三十七
Chinese (financial)
壹拾肆萬陸仟捌佰參拾柒
In other modern scripts
Eastern Arabic ١٤٦٨٣٧ Devanagari १४६८३७ Bengali ১৪৬৮৩৭ Tamil ௧௪௬௮௩௭ Thai ๑๔๖๘๓๗ Tibetan ༡༤༦༨༣༧ Khmer ១៤៦៨៣៧ Lao ໑໔໖໘໓໗ Burmese ၁၄၆၈၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 146833, sexy with 146843.

Unicode codepoint
𣶕
CJK Unified Ideograph-23D95
U+23D95
Other letter (Lo)

UTF-8 encoding: F0 A3 B6 95 (4 bytes).

Hex color
#023D95
RGB(2, 61, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.149.

Address
0.2.61.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.149

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 146,837 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 146837 first appears in π at position 893,444 of the decimal expansion (the 893,444ordinal-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.