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172,441

172,441 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.).

172,441 (one hundred seventy-two thousand four hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A199.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
224
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
144,271
Recamán's sequence
a(190,882) = 172,441
Square (n²)
29,735,898,481
Cube (n³)
5,127,688,069,962,121
Divisor count
2
σ(n) — sum of divisors
172,442
φ(n) — Euler's totient
172,440

Primality

172,441 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172441
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,441)
1 × 172441
First multiples
172,441 · 344,882 (double) · 517,323 · 689,764 · 862,205 · 1,034,646 · 1,207,087 · 1,379,528 · 1,551,969 · 1,724,410

Sums & aliquot sequence

As a sum of two squares: 125² + 396²
As consecutive integers: 86,220 + 86,221

Continued fraction of √n

√172,441 = [415; (3, 1, 5, 2, 2, 20, 2, 1, 4, 7, 1, 3, 2, 1, 1, 1, 2, 16, 1, 11, 1, 5, 19, 6, …)]

Representations

In words
one hundred seventy-two thousand four hundred forty-one
Ordinal
172441st
Binary
101010000110011001
Octal
520631
Hexadecimal
0x2A199
Base64
AqGZ
One's complement
4,294,794,854 (32-bit)
Scientific notation
1.72441 × 10⁵
As a duration
172,441 s = 1 day, 23 hours, 54 minutes, 1 second
In other bases
ternary (3) 22202112201
quaternary (4) 222012121
quinary (5) 21004231
senary (6) 3410201
septenary (7) 1315513
nonary (9) 282481
undecimal (11) 108615
duodecimal (12) 83961
tridecimal (13) 60649
tetradecimal (14) 46bb3
pentadecimal (15) 36161

As an angle

172,441° = 479 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ροβυμαʹ
Chinese
一十七萬二千四百四十一
Chinese (financial)
壹拾柒萬貳仟肆佰肆拾壹
In other modern scripts
Eastern Arabic ١٧٢٤٤١ Devanagari १७२४४१ Bengali ১৭২৪৪১ Tamil ௧௭௨௪௪௧ Thai ๑๗๒๔๔๑ Tibetan ༡༧༢༤༤༡ Khmer ១៧២៤៤១ Lao ໑໗໒໔໔໑ Burmese ၁၇၂၄၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 172439.

Unicode codepoint
𪆙
CJK Unified Ideograph-2A199
U+2A199
Other letter (Lo)

UTF-8 encoding: F0 AA 86 99 (4 bytes).

Hex color
#02A199
RGB(2, 161, 153)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.161.153.

Address
0.2.161.153
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.161.153

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 172,441 and was likely granted around 1874.

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

Position in π

The digit sequence 172441 first appears in π at position 110,547 of the decimal expansion (the 110,547ordinal-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.

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.