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104,149

104,149 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.).

104,149 (one hundred four thousand one 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, 0x196D5.

Arithmetic Number Centered Triangular Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
941,401
Recamán's sequence
a(93,805) = 104,149
Square (n²)
10,847,014,201
Cube (n³)
1,129,705,682,019,949
Divisor count
2
σ(n) — sum of divisors
104,150
φ(n) — Euler's totient
104,148

Primality

104,149 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104149
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,149)
1 × 104149
First multiples
104,149 · 208,298 (double) · 312,447 · 416,596 · 520,745 · 624,894 · 729,043 · 833,192 · 937,341 · 1,041,490

Sums & aliquot sequence

As a sum of two squares: 55² + 318²
As consecutive integers: 52,074 + 52,075

Continued fraction of √n

√104,149 = [322; (1, 2, 1, 1, 2, 2, 1, 3, 6, 4, 214, 1, 9, 1, 3, 4, 1, 18, 1, 2, 1, 70, 1, 31, …)]

Representations

In words
one hundred four thousand one hundred forty-nine
Ordinal
104149th
Binary
11001011011010101
Octal
313325
Hexadecimal
0x196D5
Base64
AZbV
One's complement
4,294,863,146 (32-bit)
Scientific notation
1.04149 × 10⁵
As a duration
104,149 s = 1 day, 4 hours, 55 minutes, 49 seconds
In other bases
ternary (3) 12021212101
quaternary (4) 121123111
quinary (5) 11313044
senary (6) 2122101
septenary (7) 612433
nonary (9) 167771
undecimal (11) 71281
duodecimal (12) 50331
tridecimal (13) 38536
tetradecimal (14) 29d53
pentadecimal (15) 20cd4

As an angle

104,149° = 289 × 360° + 109°
109° ≈ 1.902 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρδρμθʹ
Mayan (base 20)
𝋭·𝋠·𝋧·𝋩
Chinese
一十萬四千一百四十九
Chinese (financial)
壹拾萬肆仟壹佰肆拾玖
In other modern scripts
Eastern Arabic ١٠٤١٤٩ Devanagari १०४१४९ Bengali ১০৪১৪৯ Tamil ௧௦௪௧௪௯ Thai ๑๐๔๑๔๙ Tibetan ༡༠༤༡༤༩ Khmer ១០៤១៤៩ Lao ໑໐໔໑໔໙ Burmese ၁၀၄၁၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 104147.

Hex color
#0196D5
RGB(1, 150, 213)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.213.

Address
0.1.150.213
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.213

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 104,149 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 104149 first appears in π at position 34,845 of the decimal expansion (the 34,845ordinal-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.