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147,221

147,221 is a prime, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

147,221 (one hundred forty-seven thousand two hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23F15.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
112
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
122,741
Recamán's sequence
a(213,974) = 147,221
Square (n²)
21,674,022,841
Cube (n³)
3,190,871,316,674,861
Divisor count
2
σ(n) — sum of divisors
147,222
φ(n) — Euler's totient
147,220

Primality

147,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 147221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 147,221)
1 × 147221
First multiples
147,221 · 294,442 (double) · 441,663 · 588,884 · 736,105 · 883,326 · 1,030,547 · 1,177,768 · 1,324,989 · 1,472,210

Sums & aliquot sequence

As a sum of two squares: 130² + 361²
As consecutive integers: 73,610 + 73,611

Continued fraction of √n

√147,221 = [383; (1, 2, 3, 1, 2, 1, 37, 1, 1, 1, 2, 1, 4, 4, 2, 7, 4, 2, 2, 5, 1, 3, 1, 1, …)]

Representations

In words
one hundred forty-seven thousand two hundred twenty-one
Ordinal
147221st
Binary
100011111100010101
Octal
437425
Hexadecimal
0x23F15
Base64
Aj8V
One's complement
4,294,820,074 (32-bit)
Scientific notation
1.47221 × 10⁵
As a duration
147,221 s = 1 day, 16 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 21110221122
quaternary (4) 203330111
quinary (5) 14202341
senary (6) 3053325
septenary (7) 1152134
nonary (9) 243848
undecimal (11) a0678
duodecimal (12) 71245
tridecimal (13) 52019
tetradecimal (14) 3b91b
pentadecimal (15) 2d94b

As an angle

147,221° = 408 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμζσκαʹ
Mayan (base 20)
𝋲·𝋨·𝋡·𝋡
Chinese
一十四萬七千二百二十一
Chinese (financial)
壹拾肆萬柒仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٧٢٢١ Devanagari १४७२२१ Bengali ১৪৭২২১ Tamil ௧௪௭௨௨௧ Thai ๑๔๗๒๒๑ Tibetan ༡༤༧༢༢༡ Khmer ១៤៧២២១ Lao ໑໔໗໒໒໑ Burmese ၁၄၇၂၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 147227.

Unicode codepoint
𣼕
CJK Unified Ideograph-23F15
U+23F15
Other letter (Lo)

UTF-8 encoding: F0 A3 BC 95 (4 bytes).

Hex color
#023F15
RGB(2, 63, 21)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.63.21.

Address
0.2.63.21
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.63.21

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 147,221 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 147221 first appears in π at position 4,561 of the decimal expansion (the 4,561ordinal-suffix:st 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.