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172,001

172,001 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.).

172,001 (one hundred seventy-two thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29FE1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
100,271
Recamán's sequence
a(191,762) = 172,001
Square (n²)
29,584,344,001
Cube (n³)
5,088,536,752,516,001
Divisor count
2
σ(n) — sum of divisors
172,002
φ(n) — Euler's totient
172,000

Primality

172,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,001)
1 × 172001
First multiples
172,001 · 344,002 (double) · 516,003 · 688,004 · 860,005 · 1,032,006 · 1,204,007 · 1,376,008 · 1,548,009 · 1,720,010

Sums & aliquot sequence

As a sum of two squares: 175² + 376²
As consecutive integers: 86,000 + 86,001

Continued fraction of √n

√172,001 = [414; (1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 3, 9, 7, 1, 1, 117, 1, 24, 1, 13, 10, 3, 2, 1, …)]

Representations

In words
one hundred seventy-two thousand one
Ordinal
172001st
Binary
101001111111100001
Octal
517741
Hexadecimal
0x29FE1
Base64
Ap/h
One's complement
4,294,795,294 (32-bit)
Scientific notation
1.72001 × 10⁵
As a duration
172,001 s = 1 day, 23 hours, 46 minutes, 41 seconds
In other bases
ternary (3) 22201221102
quaternary (4) 221333201
quinary (5) 21001001
senary (6) 3404145
septenary (7) 1314314
nonary (9) 281842
undecimal (11) 108255
duodecimal (12) 83655
tridecimal (13) 6039b
tetradecimal (14) 4697b
pentadecimal (15) 35e6b

As an angle

172,001° = 477 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓏺
Greek (Milesian)
͵ροβαʹ
Chinese
一十七萬二千零一
Chinese (financial)
壹拾柒萬貳仟零壹
In other modern scripts
Eastern Arabic ١٧٢٠٠١ Devanagari १७२००१ Bengali ১৭২০০১ Tamil ௧௭௨௦௦௧ Thai ๑๗๒๐๐๑ Tibetan ༡༧༢༠༠༡ Khmer ១៧២០០១ Lao ໑໗໒໐໐໑ Burmese ၁၇၂၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𩿡
CJK Unified Ideograph-29Fe1
U+29FE1
Other letter (Lo)

UTF-8 encoding: F0 A9 BF A1 (4 bytes).

Hex color
#029FE1
RGB(2, 159, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.159.225.

Address
0.2.159.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.159.225

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 172,001 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 172001 first appears in π at position 654,667 of the decimal expansion (the 654,667ordinal-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.