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Number

21,377

21,377 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
294
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
77,312
Recamán's sequence
a(41,085) = 21,377
Square (n²)
456,976,129
Cube (n³)
9,768,778,709,633
Divisor count
2
σ(n) — sum of divisors
21,378
φ(n) — Euler's totient
21,376

Primality

21,377 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21377
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,377)
1 × 21377
First multiples
21,377 · 42,754 (double) · 64,131 · 85,508 · 106,885 · 128,262 · 149,639 · 171,016 · 192,393 · 213,770

Sums & aliquot sequence

As a sum of two squares: 89² + 116²
As consecutive integers: 10,688 + 10,689

Representations

In words
twenty-one thousand three hundred seventy-seven
Ordinal
21377th
Binary
101001110000001
Octal
51601
Hexadecimal
0x5381
Base64
U4E=
One's complement
44,158 (16-bit)
In other bases
ternary (3) 1002022202
quaternary (4) 11032001
quinary (5) 1141002
senary (6) 242545
septenary (7) 116216
nonary (9) 32282
undecimal (11) 15074
duodecimal (12) 10455
tridecimal (13) 9965
tetradecimal (14) 7b0d
pentadecimal (15) 6502

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατοζʹ
Mayan (base 20)
𝋢·𝋭·𝋨·𝋱
Chinese
二萬一千三百七十七
Chinese (financial)
貳萬壹仟參佰柒拾柒
In other modern scripts
Eastern Arabic ٢١٣٧٧ Devanagari २१३७७ Bengali ২১৩৭৭ Tamil ௨௧௩௭௭ Thai ๒๑๓๗๗ Tibetan ༢༡༣༧༧ Khmer ២១៣៧៧ Lao ໒໑໓໗໗ Burmese ၂၁၃၇၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,377 = 5
e — Euler's number (e)
Digit 21,377 = 8
φ — Golden ratio (φ)
Digit 21,377 = 9
√2 — Pythagoras's (√2)
Digit 21,377 = 5
ln 2 — Natural log of 2
Digit 21,377 = 7
γ — Euler-Mascheroni (γ)
Digit 21,377 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,347 (gap of 30)
  • Next prime: 21,379 (gap of 2)

Pair status: twin with 21379.

Unicode codepoint
CJK Unified Ideograph-5381
U+5381
Other letter (Lo)

UTF-8 encoding: E5 8E 81 (3 bytes).

Hex color
#005381
RGB(0, 83, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.129.

Address
0.0.83.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.129

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
000021377
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 21377 first appears in π at position 87,392 of the decimal expansion (the 87,392ordinal-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.