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Number

13,421

13,421 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
24
Digital root
2
Palindrome
No
Bit width
14 bits
Reversed
12,431
Recamán's sequence
a(47,433) = 13,421
Square (n²)
180,123,241
Cube (n³)
2,417,434,017,461
Divisor count
2
σ(n) — sum of divisors
13,422
φ(n) — Euler's totient
13,420

Primality

13,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 13421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 13,421)
1 × 13421
First multiples
13,421 · 26,842 (double) · 40,263 · 53,684 · 67,105 · 80,526 · 93,947 · 107,368 · 120,789 · 134,210

Sums & aliquot sequence

As a sum of two squares: 14² + 115²
As consecutive integers: 6,710 + 6,711

Representations

In words
thirteen thousand four hundred twenty-one
Ordinal
13421st
Binary
11010001101101
Octal
32155
Hexadecimal
0x346D
Base64
NG0=
One's complement
52,114 (16-bit)
In other bases
ternary (3) 200102002
quaternary (4) 3101231
quinary (5) 412141
senary (6) 142045
septenary (7) 54062
nonary (9) 20362
undecimal (11) a0a1
duodecimal (12) 7925
tridecimal (13) 6155
tetradecimal (14) 4c69
pentadecimal (15) 3e9b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ιγυκαʹ
Mayan (base 20)
𝋡·𝋭·𝋫·𝋡
Chinese
一萬三千四百二十一
Chinese (financial)
壹萬參仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٤٢١ Devanagari १३४२१ Bengali ১৩৪২১ Tamil ௧௩௪௨௧ Thai ๑๓๔๒๑ Tibetan ༡༣༤༢༡ Khmer ១៣៤២១ Lao ໑໓໔໒໑ Burmese ၁၃၄၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 13,421 = 2
e — Euler's number (e)
Digit 13,421 = 4
φ — Golden ratio (φ)
Digit 13,421 = 6
√2 — Pythagoras's (√2)
Digit 13,421 = 3
ln 2 — Natural log of 2
Digit 13,421 = 7
γ — Euler-Mascheroni (γ)
Digit 13,421 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 13,417 (gap of 4)
  • Next prime: 13,441 (gap of 20)

Pair status: cousin with 13417.

Unicode codepoint
CJK Unified Ideograph-346D
U+346D
Other letter (Lo)

UTF-8 encoding: E3 91 AD (3 bytes).

Hex color
#00346D
RGB(0, 52, 109)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.109.

Address
0.0.52.109
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.109

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 13421 first appears in π at position 16,639 of the decimal expansion (the 16,639ordinal-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.