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120,397

120,397 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.).

120,397 (one hundred twenty thousand three hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D64D.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
793,021
Square (n²)
14,495,437,609
Cube (n³)
1,745,207,201,810,773
Divisor count
2
σ(n) — sum of divisors
120,398
φ(n) — Euler's totient
120,396

Primality

120,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,397)
1 × 120397
First multiples
120,397 · 240,794 (double) · 361,191 · 481,588 · 601,985 · 722,382 · 842,779 · 963,176 · 1,083,573 · 1,203,970

Sums & aliquot sequence

As a sum of two squares: 74² + 339²
As consecutive integers: 60,198 + 60,199

Continued fraction of √n

√120,397 = [346; (1, 56, 1, 4, 1, 18, 2, 3, 1, 24, 1, 12, 2, 1, 1, 1, 1, 17, 5, 1, 1, 2, 2, 3, …)]

Representations

In words
one hundred twenty thousand three hundred ninety-seven
Ordinal
120397th
Binary
11101011001001101
Octal
353115
Hexadecimal
0x1D64D
Base64
AdZN
One's complement
4,294,846,898 (32-bit)
Scientific notation
1.20397 × 10⁵
As a duration
120,397 s = 1 day, 9 hours, 26 minutes, 37 seconds
In other bases
ternary (3) 20010011011
quaternary (4) 131121031
quinary (5) 12323042
senary (6) 2325221
septenary (7) 1011004
nonary (9) 203134
undecimal (11) 82502
duodecimal (12) 59811
tridecimal (13) 42a54
tetradecimal (14) 31c3b
pentadecimal (15) 25a17

As an angle

120,397° = 334 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκτϟζʹ
Mayan (base 20)
𝋯·𝋠·𝋳·𝋱
Chinese
一十二萬零三百九十七
Chinese (financial)
壹拾貳萬零參佰玖拾柒
In other modern scripts
Eastern Arabic ١٢٠٣٩٧ Devanagari १२०३९७ Bengali ১২০৩৯৭ Tamil ௧௨௦௩௯௭ Thai ๑๒๐๓๙๗ Tibetan ༡༢༠༣༩༧ Khmer ១២០៣៩៧ Lao ໑໒໐໓໙໗ Burmese ၁၂၀၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 120401, sexy with 120391.

Unicode codepoint
𝙍
Mathematical Sans-Serif Bold Italic Capital R
U+1D64D
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 99 8D (4 bytes).

Hex color
#01D64D
RGB(1, 214, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.214.77.

Address
0.1.214.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.214.77

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 120,397 and was likely granted around 1871.

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

Position in π

The digit sequence 120397 first appears in π at position 230,256 of the decimal expansion (the 230,256ordinal-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.