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117,413

117,413 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.).

117,413 (one hundred seventeen thousand four hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CAA5.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
84
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
314,711
Square (n²)
13,785,812,569
Cube (n³)
1,618,633,611,163,997
Divisor count
2
σ(n) — sum of divisors
117,414
φ(n) — Euler's totient
117,412

Primality

117,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,413)
1 × 117413
First multiples
117,413 · 234,826 (double) · 352,239 · 469,652 · 587,065 · 704,478 · 821,891 · 939,304 · 1,056,717 · 1,174,130

Sums & aliquot sequence

As a sum of two squares: 62² + 337²
As consecutive integers: 58,706 + 58,707

Continued fraction of √n

√117,413 = [342; (1, 1, 1, 9, 1, 1, 3, 1, 1, 7, 1, 2, 3, 1, 1, 1, 3, 6, 1, 3, 1, 3, 3, 4, …)]

Representations

In words
one hundred seventeen thousand four hundred thirteen
Ordinal
117413th
Binary
11100101010100101
Octal
345245
Hexadecimal
0x1CAA5
Base64
Acql
One's complement
4,294,849,882 (32-bit)
Scientific notation
1.17413 × 10⁵
As a duration
117,413 s = 1 day, 8 hours, 36 minutes, 53 seconds
In other bases
ternary (3) 12222001122
quaternary (4) 130222211
quinary (5) 12224123
senary (6) 2303325
septenary (7) 666212
nonary (9) 188048
undecimal (11) 8023a
duodecimal (12) 57b45
tridecimal (13) 4159a
tetradecimal (14) 30b09
pentadecimal (15) 24bc8

As an angle

117,413° = 326 × 360° + 53°
53° ≈ 0.925 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριζυιγʹ
Mayan (base 20)
𝋮·𝋭·𝋪·𝋭
Chinese
一十一萬七千四百一十三
Chinese (financial)
壹拾壹萬柒仟肆佰壹拾參
In other modern scripts
Eastern Arabic ١١٧٤١٣ Devanagari ११७४१३ Bengali ১১৭৪১৩ Tamil ௧௧௭௪௧௩ Thai ๑๑๗๔๑๓ Tibetan ༡༡༧༤༡༣ Khmer ១១៧៤១៣ Lao ໑໑໗໔໑໓ Burmese ၁၁၇၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01CAA5
RGB(1, 202, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.165.

Address
0.1.202.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.165

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 117,413 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 117413 first appears in π at position 611,453 of the decimal expansion (the 611,453ordinal-suffix:rd 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.