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146,989

146,989 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.).

146,989 (one hundred forty-six thousand nine hundred eighty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23E2D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
37
Digit product
15,552
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
989,641
Recamán's sequence
a(214,438) = 146,989
Square (n²)
21,605,766,121
Cube (n³)
3,175,809,956,359,669
Divisor count
2
σ(n) — sum of divisors
146,990
φ(n) — Euler's totient
146,988

Primality

146,989 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 146989
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 146,989)
1 × 146989
First multiples
146,989 · 293,978 (double) · 440,967 · 587,956 · 734,945 · 881,934 · 1,028,923 · 1,175,912 · 1,322,901 · 1,469,890

Sums & aliquot sequence

As a sum of two squares: 190² + 333²
As consecutive integers: 73,494 + 73,495

Continued fraction of √n

√146,989 = [383; (2, 1, 1, 4, 13, 4, 3, 1, 8, 1, 16, 7, 24, 1, 1, 2, 5, 1, 1, 4, 1, 37, 1, 1, …)]

Representations

In words
one hundred forty-six thousand nine hundred eighty-nine
Ordinal
146989th
Binary
100011111000101101
Octal
437055
Hexadecimal
0x23E2D
Base64
Aj4t
One's complement
4,294,820,306 (32-bit)
Scientific notation
1.46989 × 10⁵
As a duration
146,989 s = 1 day, 16 hours, 49 minutes, 49 seconds
In other bases
ternary (3) 21110122001
quaternary (4) 203320231
quinary (5) 14200424
senary (6) 3052301
septenary (7) 1151353
nonary (9) 243561
undecimal (11) a0487
duodecimal (12) 71091
tridecimal (13) 51b9b
tetradecimal (14) 3b7d3
pentadecimal (15) 2d844

As an angle

146,989° = 408 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛϡπθʹ
Mayan (base 20)
𝋲·𝋧·𝋩·𝋩
Chinese
一十四萬六千九百八十九
Chinese (financial)
壹拾肆萬陸仟玖佰捌拾玖
In other modern scripts
Eastern Arabic ١٤٦٩٨٩ Devanagari १४६९८९ Bengali ১৪৬৯৮৯ Tamil ௧௪௬௯௮௯ Thai ๑๔๖๙๘๙ Tibetan ༡༤༦༩༨༩ Khmer ១៤៦៩៨៩ Lao ໑໔໖໙໘໙ Burmese ၁၄၆၉၈၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 146987.

Unicode codepoint
𣸭
CJK Unified Ideograph-23E2D
U+23E2D
Other letter (Lo)

UTF-8 encoding: F0 A3 B8 AD (4 bytes).

Hex color
#023E2D
RGB(2, 62, 45)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.45.

Address
0.2.62.45
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.45

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 146,989 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 146989 first appears in π at position 254,929 of the decimal expansion (the 254,929ordinal-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.