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Number

35,221

35,221 is a prime, odd.

35,221 (thirty-five thousand two hundred twenty-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x8995.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
60
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
12,253
Recamán's sequence
a(309,058) = 35,221
Square (n²)
1,240,518,841
Cube (n³)
43,692,314,098,861
Divisor count
2
σ(n) — sum of divisors
35,222
φ(n) — Euler's totient
35,220

Primality

35,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 35221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 35,221)
1 × 35221
First multiples
35,221 · 70,442 (double) · 105,663 · 140,884 · 176,105 · 211,326 · 246,547 · 281,768 · 316,989 · 352,210

Sums & aliquot sequence

As a sum of two squares: 25² + 186²
As consecutive integers: 17,610 + 17,611

Continued fraction of √n

√35,221 = [187; (1, 2, 18, 2, 3, 3, 1, 2, 1, 74, 2, 1, 93, 5, 1, 17, 1, 14, 14, 1, 17, 1, 5, 93, …)]

Period length 37 — the block in parentheses repeats forever.

Representations

In words
thirty-five thousand two hundred twenty-one
Ordinal
35221st
Binary
1000100110010101
Octal
104625
Hexadecimal
0x8995
Base64
iZU=
One's complement
30,314 (16-bit)
Scientific notation
3.5221 × 10⁴
As a duration
35,221 s = 9 hours, 47 minutes, 1 second
In other bases
ternary (3) 1210022111
quaternary (4) 20212111
quinary (5) 2111341
senary (6) 431021
septenary (7) 204454
nonary (9) 53274
undecimal (11) 2450a
duodecimal (12) 18471
tridecimal (13) 13054
tetradecimal (14) cb9b
pentadecimal (15) a681

As an angle

35,221° = 97 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵λεσκαʹ
Mayan (base 20)
𝋤·𝋨·𝋡·𝋡
Chinese
三萬五千二百二十一
Chinese (financial)
參萬伍仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٣٥٢٢١ Devanagari ३५२२१ Bengali ৩৫২২১ Tamil ௩௫௨௨௧ Thai ๓๕๒๒๑ Tibetan ༣༥༢༢༡ Khmer ៣៥២២១ Lao ໓໕໒໒໑ Burmese ၃၅၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 35,221 = 8
e — Euler's number (e)
Digit 35,221 = 0
φ — Golden ratio (φ)
Digit 35,221 = 4
√2 — Pythagoras's (√2)
Digit 35,221 = 7
ln 2 — Natural log of 2
Digit 35,221 = 3
γ — Euler-Mascheroni (γ)
Digit 35,221 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 35,201 (gap of 20)
  • Next prime: 35,227 (gap of 6)

Pair status: sexy with 35227.

Unicode codepoint
CJK Unified Ideograph-8995
U+8995
Other letter (Lo)

UTF-8 encoding: E8 A6 95 (3 bytes).

Hex color
#008995
RGB(0, 137, 149)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.137.149.

Address
0.0.137.149
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.137.149

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

Position in π

The digit sequence 35221 first appears in π at position 93,743 of the decimal expansion (the 93,743ordinal-suffix:rd 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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.