number.wiki
Number

21,157

21,157 is a prime, odd.

Arithmetic Number Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
70
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
75,112
Recamán's sequence
a(41,525) = 21,157
Square (n²)
447,618,649
Cube (n³)
9,470,267,756,893
Divisor count
2
σ(n) — sum of divisors
21,158
φ(n) — Euler's totient
21,156

Primality

21,157 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21157
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,157)
1 × 21157
First multiples
21,157 · 42,314 (double) · 63,471 · 84,628 · 105,785 · 126,942 · 148,099 · 169,256 · 190,413 · 211,570

Sums & aliquot sequence

As a sum of two squares: 94² + 111²
As consecutive integers: 10,578 + 10,579

Representations

In words
twenty-one thousand one hundred fifty-seven
Ordinal
21157th
Binary
101001010100101
Octal
51245
Hexadecimal
0x52A5
Base64
UqU=
One's complement
44,378 (16-bit)
In other bases
ternary (3) 1002000121
quaternary (4) 11022211
quinary (5) 1134112
senary (6) 241541
septenary (7) 115453
nonary (9) 32017
undecimal (11) 14994
duodecimal (12) 102b1
tridecimal (13) 9826
tetradecimal (14) 79d3
pentadecimal (15) 6407

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καρνζʹ
Mayan (base 20)
𝋢·𝋬·𝋱·𝋱
Chinese
二萬一千一百五十七
Chinese (financial)
貳萬壹仟壹佰伍拾柒
In other modern scripts
Eastern Arabic ٢١١٥٧ Devanagari २११५७ Bengali ২১১৫৭ Tamil ௨௧௧௫௭ Thai ๒๑๑๕๗ Tibetan ༢༡༡༥༧ Khmer ២១១៥៧ Lao ໒໑໑໕໗ Burmese ၂၁၁၅၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,157 = 0
e — Euler's number (e)
Digit 21,157 = 9
φ — Golden ratio (φ)
Digit 21,157 = 6
√2 — Pythagoras's (√2)
Digit 21,157 = 3
ln 2 — Natural log of 2
Digit 21,157 = 1
γ — Euler-Mascheroni (γ)
Digit 21,157 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,149 (gap of 8)
  • Next prime: 21,163 (gap of 6)

Pair status: sexy with 21163.

Unicode codepoint
CJK Unified Ideograph-52A5
U+52A5
Other letter (Lo)

UTF-8 encoding: E5 8A A5 (3 bytes).

Hex color
#0052A5
RGB(0, 82, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.165.

Address
0.0.82.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.165

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
000021157
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 21157 first appears in π at position 17,398 of the decimal expansion (the 17,398ordinal-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.