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113,749

113,749 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.).

113,749 (one hundred thirteen 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, 0x1BC55.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
947,311
Recamán's sequence
a(56,289) = 113,749
Square (n²)
12,938,835,001
Cube (n³)
1,471,779,542,528,749
Divisor count
2
σ(n) — sum of divisors
113,750
φ(n) — Euler's totient
113,748

Primality

113,749 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 113749
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 113,749)
1 × 113749
First multiples
113,749 · 227,498 (double) · 341,247 · 454,996 · 568,745 · 682,494 · 796,243 · 909,992 · 1,023,741 · 1,137,490

Sums & aliquot sequence

As a sum of two squares: 185² + 282²
As consecutive integers: 56,874 + 56,875

Continued fraction of √n

√113,749 = [337; (3, 1, 2, 1, 14, 1, 1, 2, 12, 1, 4, 1, 5, 4, 14, 8, 1, 12, 12, 5, 2, 1, 4, 33, …)]

Representations

In words
one hundred thirteen thousand seven hundred forty-nine
Ordinal
113749th
Binary
11011110001010101
Octal
336125
Hexadecimal
0x1BC55
Base64
AbxV
One's complement
4,294,853,546 (32-bit)
Scientific notation
1.13749 × 10⁵
As a duration
113,749 s = 1 day, 7 hours, 35 minutes, 49 seconds
In other bases
ternary (3) 12210000221
quaternary (4) 123301111
quinary (5) 12114444
senary (6) 2234341
septenary (7) 652426
nonary (9) 183027
undecimal (11) 78509
duodecimal (12) 559b1
tridecimal (13) 3ca0c
tetradecimal (14) 2d64d
pentadecimal (15) 23a84

As an angle

113,749° = 315 × 360° + 349°
349° ≈ 6.091 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγψμθʹ
Mayan (base 20)
𝋮·𝋤·𝋧·𝋩
Chinese
一十一萬三千七百四十九
Chinese (financial)
壹拾壹萬參仟柒佰肆拾玖
In other modern scripts
Eastern Arabic ١١٣٧٤٩ Devanagari ११३७४९ Bengali ১১৩৭৪৯ Tamil ௧௧௩௭௪௯ Thai ๑๑๓๗๔๙ Tibetan ༡༡༣༧༤༩ Khmer ១១៣៧៤៩ Lao ໑໑໓໗໔໙ Burmese ၁၁၃၇၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𛱕
Duployan Letter Long U
U+1BC55
Other letter (Lo)

UTF-8 encoding: F0 9B B1 95 (4 bytes).

Hex color
#01BC55
RGB(1, 188, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.85.

Address
0.1.188.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.85

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 113,749 and was likely granted around 1871.

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

Position in π

The digit sequence 113749 first appears in π at position 398,826 of the decimal expansion (the 398,826ordinal-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.