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103,421

103,421 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.).

103,421 (one hundred three thousand four hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x193FD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
124,301
Recamán's sequence
a(95,657) = 103,421
Square (n²)
10,695,903,241
Cube (n³)
1,106,181,009,087,461
Divisor count
2
σ(n) — sum of divisors
103,422
φ(n) — Euler's totient
103,420

Primality

103,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 103421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 103,421)
1 × 103421
First multiples
103,421 · 206,842 (double) · 310,263 · 413,684 · 517,105 · 620,526 · 723,947 · 827,368 · 930,789 · 1,034,210

Sums & aliquot sequence

As a sum of two squares: 139² + 290²
As consecutive integers: 51,710 + 51,711

Continued fraction of √n

√103,421 = [321; (1, 1, 2, 4, 4, 2, 1, 1, 642)]

Period length 9 — the block in parentheses repeats forever.

Representations

In words
one hundred three thousand four hundred twenty-one
Ordinal
103421st
Binary
11001001111111101
Octal
311775
Hexadecimal
0x193FD
Base64
AZP9
One's complement
4,294,863,874 (32-bit)
Scientific notation
1.03421 × 10⁵
As a duration
103,421 s = 1 day, 4 hours, 43 minutes, 41 seconds
In other bases
ternary (3) 12020212102
quaternary (4) 121033331
quinary (5) 11302141
senary (6) 2114445
septenary (7) 610343
nonary (9) 166772
undecimal (11) 7077a
duodecimal (12) 4ba25
tridecimal (13) 380c6
tetradecimal (14) 29993
pentadecimal (15) 2099b

As an angle

103,421° = 287 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ργυκαʹ
Mayan (base 20)
𝋬·𝋲·𝋫·𝋡
Chinese
一十萬三千四百二十一
Chinese (financial)
壹拾萬參仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٠٣٤٢١ Devanagari १०३४२१ Bengali ১০৩৪২১ Tamil ௧௦௩௪௨௧ Thai ๑๐๓๔๒๑ Tibetan ༡༠༣༤༢༡ Khmer ១០៣៤២១ Lao ໑໐໓໔໒໑ Burmese ၁၀၃၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 103423.

Hex color
#0193FD
RGB(1, 147, 253)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.147.253.

Address
0.1.147.253
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.147.253

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 103,421 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 103421 first appears in π at position 73,291 of the decimal expansion (the 73,291ordinal-suffix:st 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.