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120,413

120,413 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.).

120,413 (one hundred twenty 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, 0x1D65D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
314,021
Square (n²)
14,499,290,569
Cube (n³)
1,745,903,075,284,997
Divisor count
2
σ(n) — sum of divisors
120,414
φ(n) — Euler's totient
120,412

Primality

120,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,413)
1 × 120413
First multiples
120,413 · 240,826 (double) · 361,239 · 481,652 · 602,065 · 722,478 · 842,891 · 963,304 · 1,083,717 · 1,204,130

Sums & aliquot sequence

As a sum of two squares: 2² + 347²
As consecutive integers: 60,206 + 60,207

Continued fraction of √n

√120,413 = [347; (173, 1, 1, 173, 694)]

Period length 5 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty thousand four hundred thirteen
Ordinal
120413th
Binary
11101011001011101
Octal
353135
Hexadecimal
0x1D65D
Base64
AdZd
One's complement
4,294,846,882 (32-bit)
Scientific notation
1.20413 × 10⁵
As a duration
120,413 s = 1 day, 9 hours, 26 minutes, 53 seconds
In other bases
ternary (3) 20010011202
quaternary (4) 131121131
quinary (5) 12323123
senary (6) 2325245
septenary (7) 1011026
nonary (9) 203152
undecimal (11) 82517
duodecimal (12) 59825
tridecimal (13) 42a67
tetradecimal (14) 31c4d
pentadecimal (15) 25a28
Palindromic in base 4

As an angle

120,413° = 334 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκυιγʹ
Mayan (base 20)
𝋯·𝋡·𝋠·𝋭
Chinese
一十二萬零四百一十三
Chinese (financial)
壹拾貳萬零肆佰壹拾參
In other modern scripts
Eastern Arabic ١٢٠٤١٣ Devanagari १२०४१३ Bengali ১২০৪১৩ Tamil ௧௨௦௪௧௩ Thai ๑๒๐๔๑๓ Tibetan ༡༢༠༤༡༣ Khmer ១២០៤១៣ Lao ໑໒໐໔໑໓ Burmese ၁၂၀၄၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𝙝
Mathematical Sans-Serif Bold Italic Small H
U+1D65D
Lowercase letter (Ll)

UTF-8 encoding: F0 9D 99 9D (4 bytes).

Hex color
#01D65D
RGB(1, 214, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.93.

Address
0.1.214.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.93

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 120,413 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 120413 first appears in π at position 642,539 of the decimal expansion (the 642,539ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.