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Number

21,977

21,977 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
26
Digit product
882
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
77,912
Recamán's sequence
a(167,809) = 21,977
Square (n²)
482,988,529
Cube (n³)
10,614,638,901,833
Divisor count
2
σ(n) — sum of divisors
21,978
φ(n) — Euler's totient
21,976

Primality

21,977 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21977
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,977)
1 × 21977
First multiples
21,977 · 43,954 (double) · 65,931 · 87,908 · 109,885 · 131,862 · 153,839 · 175,816 · 197,793 · 219,770

Sums & aliquot sequence

As a sum of two squares: 59² + 136²
As consecutive integers: 10,988 + 10,989

Representations

In words
twenty-one thousand nine hundred seventy-seven
Ordinal
21977th
Binary
101010111011001
Octal
52731
Hexadecimal
0x55D9
Base64
Vdk=
One's complement
43,558 (16-bit)
In other bases
ternary (3) 1010010222
quaternary (4) 11113121
quinary (5) 1200402
senary (6) 245425
septenary (7) 121034
nonary (9) 33128
undecimal (11) 1556a
duodecimal (12) 10875
tridecimal (13) a007
tetradecimal (14) 801b
pentadecimal (15) 67a2

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καϡοζʹ
Mayan (base 20)
𝋢·𝋮·𝋲·𝋱
Chinese
二萬一千九百七十七
Chinese (financial)
貳萬壹仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ٢١٩٧٧ Devanagari २१९७७ Bengali ২১৯৭৭ Tamil ௨௧௯௭௭ Thai ๒๑๙๗๗ Tibetan ༢༡༩༧༧ Khmer ២១៩៧៧ Lao ໒໑໙໗໗ Burmese ၂၁၉၇၇

Digit at this position in famous constants

π — Pi (π)
Digit 21,977 = 6
e — Euler's number (e)
Digit 21,977 = 3
φ — Golden ratio (φ)
Digit 21,977 = 4
√2 — Pythagoras's (√2)
Digit 21,977 = 0
ln 2 — Natural log of 2
Digit 21,977 = 4
γ — Euler-Mascheroni (γ)
Digit 21,977 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,961 (gap of 16)
  • Next prime: 21,991 (gap of 14)
Unicode codepoint
CJK Unified Ideograph-55D9
U+55D9
Other letter (Lo)

UTF-8 encoding: E5 97 99 (3 bytes).

Hex color
#0055D9
RGB(0, 85, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.217.

Address
0.0.85.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.217

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

Position in π

The digit sequence 21977 first appears in π at position 137,774 of the decimal expansion (the 137,774ordinal-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.