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142,097

142,097 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.).

142,097 (one hundred forty-two thousand ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22B11.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
790,241
Recamán's sequence
a(484,633) = 142,097
Square (n²)
20,191,557,409
Cube (n³)
2,869,159,733,146,673
Divisor count
2
σ(n) — sum of divisors
142,098
φ(n) — Euler's totient
142,096

Primality

142,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 142097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 142,097)
1 × 142097
First multiples
142,097 · 284,194 (double) · 426,291 · 568,388 · 710,485 · 852,582 · 994,679 · 1,136,776 · 1,278,873 · 1,420,970

Sums & aliquot sequence

As a sum of two squares: 184² + 329²
As consecutive integers: 71,048 + 71,049

Continued fraction of √n

√142,097 = [376; (1, 22, 1, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 3, 1, 1, 22, 1, 752)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-two thousand ninety-seven
Ordinal
142097th
Binary
100010101100010001
Octal
425421
Hexadecimal
0x22B11
Base64
AisR
One's complement
4,294,825,198 (32-bit)
Scientific notation
1.42097 × 10⁵
As a duration
142,097 s = 1 day, 15 hours, 28 minutes, 17 seconds
In other bases
ternary (3) 21012220212
quaternary (4) 202230101
quinary (5) 14021342
senary (6) 3013505
septenary (7) 1131164
nonary (9) 235825
undecimal (11) 9783a
duodecimal (12) 6a295
tridecimal (13) 4c8a7
tetradecimal (14) 39adb
pentadecimal (15) 2c182

As an angle

142,097° = 394 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμβϟζʹ
Mayan (base 20)
𝋱·𝋯·𝋤·𝋱
Chinese
一十四萬二千零九十七
Chinese (financial)
壹拾肆萬貳仟零玖拾柒
In other modern scripts
Eastern Arabic ١٤٢٠٩٧ Devanagari १४२०९७ Bengali ১৪২০৯৭ Tamil ௧௪௨௦௯௭ Thai ๑๔๒๐๙๗ Tibetan ༡༤༢༠༩༧ Khmer ១៤២០៩៧ Lao ໑໔໒໐໙໗ Burmese ၁၄၂၀၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 142099.

Unicode codepoint
𢬑
CJK Unified Ideograph-22B11
U+22B11
Other letter (Lo)

UTF-8 encoding: F0 A2 AC 91 (4 bytes).

Hex color
#022B11
RGB(2, 43, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.43.17.

Address
0.2.43.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.43.17

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 142,097 and was likely granted around 1872.

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

Position in π

The digit sequence 142097 first appears in π at position 214,705 of the decimal expansion (the 214,705ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.