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Number

28,001

28,001 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
10,082
Recamán's sequence
a(34,429) = 28,001
Square (n²)
784,056,001
Cube (n³)
21,954,352,084,001
Divisor count
2
σ(n) — sum of divisors
28,002
φ(n) — Euler's totient
28,000

Primality

28,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 28001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 28,001)
1 × 28001
First multiples
28,001 · 56,002 (double) · 84,003 · 112,004 · 140,005 · 168,006 · 196,007 · 224,008 · 252,009 · 280,010

Sums & aliquot sequence

As a sum of two squares: 49² + 160²
As consecutive integers: 14,000 + 14,001

Representations

In words
twenty-eight thousand one
Ordinal
28001st
Binary
110110101100001
Octal
66541
Hexadecimal
0x6D61
Base64
bWE=
One's complement
37,534 (16-bit)
In other bases
ternary (3) 1102102002
quaternary (4) 12311201
quinary (5) 1344001
senary (6) 333345
septenary (7) 144431
nonary (9) 42362
undecimal (11) 1a046
duodecimal (12) 14255
tridecimal (13) c98c
tetradecimal (14) a2c1
pentadecimal (15) 846b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵κηαʹ
Mayan (base 20)
𝋣·𝋪·𝋠·𝋡
Chinese
二萬八千零一
Chinese (financial)
貳萬捌仟零壹
In other modern scripts
Eastern Arabic ٢٨٠٠١ Devanagari २८००१ Bengali ২৮০০১ Tamil ௨௮௦௦௧ Thai ๒๘๐๐๑ Tibetan ༢༨༠༠༡ Khmer ២៨០០១ Lao ໒໘໐໐໑ Burmese ၂၈၀၀၁

Digit at this position in famous constants

π — Pi (π)
Digit 28,001 = 5
e — Euler's number (e)
Digit 28,001 = 3
φ — Golden ratio (φ)
Digit 28,001 = 6
√2 — Pythagoras's (√2)
Digit 28,001 = 7
ln 2 — Natural log of 2
Digit 28,001 = 9
γ — Euler-Mascheroni (γ)
Digit 28,001 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 27,997 (gap of 4)
  • Next prime: 28,019 (gap of 18)

Pair status: cousin with 27997.

Unicode codepoint
CJK Unified Ideograph-6D61
U+6D61
Other letter (Lo)

UTF-8 encoding: E6 B5 A1 (3 bytes).

Hex color
#006D61
RGB(0, 109, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.109.97.

Address
0.0.109.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.109.97

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

Position in π

The digit sequence 28001 first appears in π at position 64,245 of the decimal expansion (the 64,245ordinal-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.