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131,749

131,749 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.).

131,749 (one hundred thirty-one 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, 0x202A5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
947,131
Recamán's sequence
a(228,874) = 131,749
Square (n²)
17,357,799,001
Cube (n³)
2,286,872,660,582,749
Divisor count
2
σ(n) — sum of divisors
131,750
φ(n) — Euler's totient
131,748

Primality

131,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,749)
1 × 131749
First multiples
131,749 · 263,498 (double) · 395,247 · 526,996 · 658,745 · 790,494 · 922,243 · 1,053,992 · 1,185,741 · 1,317,490

Sums & aliquot sequence

As a sum of two squares: 175² + 318²
As consecutive integers: 65,874 + 65,875

Continued fraction of √n

√131,749 = [362; (1, 35, 3, 2, 1, 6, 1, 1, 3, 1, 2, 5, 2, 4, 3, 2, 11, 1, 1, 1, 241, 3, 11, 1, …)]

Representations

In words
one hundred thirty-one thousand seven hundred forty-nine
Ordinal
131749th
Binary
100000001010100101
Octal
401245
Hexadecimal
0x202A5
Base64
AgKl
One's complement
4,294,835,546 (32-bit)
Scientific notation
1.31749 × 10⁵
As a duration
131,749 s = 1 day, 12 hours, 35 minutes, 49 seconds
In other bases
ternary (3) 20200201121
quaternary (4) 200022211
quinary (5) 13203444
senary (6) 2453541
septenary (7) 1056052
nonary (9) 220647
undecimal (11) 8aa92
duodecimal (12) 642b1
tridecimal (13) 47c77
tetradecimal (14) 36029
pentadecimal (15) 29084

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψμθʹ
Mayan (base 20)
𝋰·𝋩·𝋧·𝋩
Chinese
一十三萬一千七百四十九
Chinese (financial)
壹拾參萬壹仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ١٣١٧٤٩ Devanagari १३१७४९ Bengali ১৩১৭৪৯ Tamil ௧௩௧௭௪௯ Thai ๑๓๑๗๔๙ Tibetan ༡༣༡༧༤༩ Khmer ១៣១៧៤៩ Lao ໑໓໑໗໔໙ Burmese ၁၃၁၇၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131743.

Unicode codepoint
𠊥
CJK Unified Ideograph-202A5
U+202A5
Other letter (Lo)

UTF-8 encoding: F0 A0 8A A5 (4 bytes).

Hex color
#0202A5
RGB(2, 2, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.165.

Address
0.2.2.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.165

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 131,749 and was likely granted around 1872.

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

Position in π

The digit sequence 131749 first appears in π at position 102,436 of the decimal expansion (the 102,436ordinal-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.