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170,801

170,801 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.).

170,801 (one hundred seventy thousand eight hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x29B31.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
108,071
Recamán's sequence
a(469,685) = 170,801
Square (n²)
29,172,981,601
Cube (n³)
4,982,774,430,432,401
Divisor count
2
σ(n) — sum of divisors
170,802
φ(n) — Euler's totient
170,800

Primality

170,801 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 170801
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 170,801)
1 × 170801
First multiples
170,801 · 341,602 (double) · 512,403 · 683,204 · 854,005 · 1,024,806 · 1,195,607 · 1,366,408 · 1,537,209 · 1,708,010

Sums & aliquot sequence

As a sum of two squares: 100² + 401²
As consecutive integers: 85,400 + 85,401

Continued fraction of √n

√170,801 = [413; (3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 826)]

Period length 11 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy thousand eight hundred one
Ordinal
170801st
Binary
101001101100110001
Octal
515461
Hexadecimal
0x29B31
Base64
Apsx
One's complement
4,294,796,494 (32-bit)
Scientific notation
1.70801 × 10⁵
As a duration
170,801 s = 1 day, 23 hours, 26 minutes, 41 seconds
In other bases
ternary (3) 22200021222
quaternary (4) 221230301
quinary (5) 20431201
senary (6) 3354425
septenary (7) 1310651
nonary (9) 280258
undecimal (11) 107364
duodecimal (12) 82a15
tridecimal (13) 5c987
tetradecimal (14) 46361
pentadecimal (15) 3591b

As an angle

170,801° = 474 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ροωαʹ
Chinese
一十七萬零八百零一
Chinese (financial)
壹拾柒萬零捌佰零壹
In other modern scripts
Eastern Arabic ١٧٠٨٠١ Devanagari १७०८०१ Bengali ১৭০৮০১ Tamil ௧௭௦௮௦௧ Thai ๑๗๐๘๐๑ Tibetan ༡༧༠༨༠༡ Khmer ១៧០៨០១ Lao ໑໗໐໘໐໑ Burmese ၁၇၀၈၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𩬱
CJK Unified Ideograph-29B31
U+29B31
Other letter (Lo)

UTF-8 encoding: F0 A9 AC B1 (4 bytes).

Hex color
#029B31
RGB(2, 155, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.155.49.

Address
0.2.155.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.155.49

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 170,801 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 170801 first appears in π at position 912,169 of the decimal expansion (the 912,169ordinal-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.