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172,421

172,421 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.).

172,421 (one hundred seventy-two thousand four 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, 0x2A185.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
112
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
124,271
Recamán's sequence
a(190,922) = 172,421
Square (n²)
29,729,001,241
Cube (n³)
5,125,904,122,974,461
Divisor count
2
σ(n) — sum of divisors
172,422
φ(n) — Euler's totient
172,420

Primality

172,421 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172421
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,421)
1 × 172421
First multiples
172,421 · 344,842 (double) · 517,263 · 689,684 · 862,105 · 1,034,526 · 1,206,947 · 1,379,368 · 1,551,789 · 1,724,210

Sums & aliquot sequence

As a sum of two squares: 14² + 415²
As consecutive integers: 86,210 + 86,211

Continued fraction of √n

√172,421 = [415; (4, 4, 4, 5, 2, 28, 5, 1, 1, 5, 1, 165, 4, 22, 5, 8, 1, 4, 1, 5, 9, 1, 5, 33, …)]

Representations

In words
one hundred seventy-two thousand four hundred twenty-one
Ordinal
172421st
Binary
101010000110000101
Octal
520605
Hexadecimal
0x2A185
Base64
AqGF
One's complement
4,294,794,874 (32-bit)
Scientific notation
1.72421 × 10⁵
As a duration
172,421 s = 1 day, 23 hours, 53 minutes, 41 seconds
In other bases
ternary (3) 22202111222
quaternary (4) 222012011
quinary (5) 21004141
senary (6) 3410125
septenary (7) 1315454
nonary (9) 282458
undecimal (11) 1085a7
duodecimal (12) 83945
tridecimal (13) 60632
tetradecimal (14) 46b9b
pentadecimal (15) 3614b

As an angle

172,421° = 478 × 360° + 341°
341° ≈ 5.952 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ροβυκαʹ
Chinese
一十七萬二千四百二十一
Chinese (financial)
壹拾柒萬貳仟肆佰貳拾壹
In other modern scripts
Eastern Arabic ١٧٢٤٢١ Devanagari १७२४२१ Bengali ১৭২৪২১ Tamil ௧௭௨௪௨௧ Thai ๑๗๒๔๒๑ Tibetan ༡༧༢༤༢༡ Khmer ១៧២៤២១ Lao ໑໗໒໔໒໑ Burmese ၁၇၂၄၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 172423.

Unicode codepoint
𪆅
CJK Unified Ideograph-2A185
U+2A185
Other letter (Lo)

UTF-8 encoding: F0 AA 86 85 (4 bytes).

Hex color
#02A185
RGB(2, 161, 133)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.133.

Address
0.2.161.133
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.133

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 172,421 and was likely granted around 1874.

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

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.