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Number

18,461

18,461 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
192
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
16,481
Recamán's sequence
a(8,982) = 18,461
Square (n²)
340,808,521
Cube (n³)
6,291,666,106,181
Divisor count
2
σ(n) — sum of divisors
18,462
φ(n) — Euler's totient
18,460

Primality

18,461 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 18461
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 18,461)
1 × 18461
First multiples
18,461 · 36,922 (double) · 55,383 · 73,844 · 92,305 · 110,766 · 129,227 · 147,688 · 166,149 · 184,610

Sums & aliquot sequence

As a sum of two squares: 85² + 106²
As consecutive integers: 9,230 + 9,231

Representations

In words
eighteen thousand four hundred sixty-one
Ordinal
18461st
Binary
100100000011101
Octal
44035
Hexadecimal
0x481D
Base64
SB0=
One's complement
47,074 (16-bit)
In other bases
ternary (3) 221022202
quaternary (4) 10200131
quinary (5) 1042321
senary (6) 221245
septenary (7) 104552
nonary (9) 27282
undecimal (11) 12963
duodecimal (12) a825
tridecimal (13) 8531
tetradecimal (14) 6a29
pentadecimal (15) 570b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ιηυξαʹ
Mayan (base 20)
𝋢·𝋦·𝋣·𝋡
Chinese
一萬八千四百六十一
Chinese (financial)
壹萬捌仟肆佰陸拾壹
In other modern scripts
Eastern Arabic ١٨٤٦١ Devanagari १८४६१ Bengali ১৮৪৬১ Tamil ௧௮௪௬௧ Thai ๑๘๔๖๑ Tibetan ༡༨༤༦༡ Khmer ១៨៤៦១ Lao ໑໘໔໖໑ Burmese ၁၈၄၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 18,461 = 8
e — Euler's number (e)
Digit 18,461 = 1
φ — Golden ratio (φ)
Digit 18,461 = 2
√2 — Pythagoras's (√2)
Digit 18,461 = 9
ln 2 — Natural log of 2
Digit 18,461 = 7
γ — Euler-Mascheroni (γ)
Digit 18,461 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 18,457 (gap of 4)
  • Next prime: 18,481 (gap of 20)

Pair status: cousin with 18457.

Unicode codepoint
CJK Unified Ideograph-481D
U+481D
Other letter (Lo)

UTF-8 encoding: E4 A0 9D (3 bytes).

Hex color
#00481D
RGB(0, 72, 29)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.72.29.

Address
0.0.72.29
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.72.29

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000018461
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 18461 first appears in π at position 145,752 of the decimal expansion (the 145,752ordinal-suffix:nd 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.