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112,397

112,397 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.).

112,397 (one hundred twelve 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, 0x1B70D.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
793,211
Recamán's sequence
a(246,746) = 112,397
Square (n²)
12,633,085,609
Cube (n³)
1,419,920,923,194,773
Divisor count
2
σ(n) — sum of divisors
112,398
φ(n) — Euler's totient
112,396

Primality

112,397 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 112397
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 112,397)
1 × 112397
First multiples
112,397 · 224,794 (double) · 337,191 · 449,588 · 561,985 · 674,382 · 786,779 · 899,176 · 1,011,573 · 1,123,970

Sums & aliquot sequence

As a sum of two squares: 29² + 334²
As consecutive integers: 56,198 + 56,199

Continued fraction of √n

√112,397 = [335; (3, 1, 8, 1, 2, 3, 1, 3, 3, 7, 4, 2, 1, 1, 5, 1, 2, 12, 1, 1, 5, 3, 1, 5, …)]

Representations

In words
one hundred twelve thousand three hundred ninety-seven
Ordinal
112397th
Binary
11011011100001101
Octal
333415
Hexadecimal
0x1B70D
Base64
AbcN
One's complement
4,294,854,898 (32-bit)
Scientific notation
1.12397 × 10⁵
As a duration
112,397 s = 1 day, 7 hours, 13 minutes, 17 seconds
In other bases
ternary (3) 12201011212
quaternary (4) 123130031
quinary (5) 12044042
senary (6) 2224205
septenary (7) 645455
nonary (9) 181155
undecimal (11) 7749a
duodecimal (12) 55065
tridecimal (13) 3c20c
tetradecimal (14) 2cd65
pentadecimal (15) 23482

As an angle

112,397° = 312 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβτϟζʹ
Mayan (base 20)
𝋮·𝋠·𝋳·𝋱
Chinese
一十一萬二千三百九十七
Chinese (financial)
壹拾壹萬貳仟參佰玖拾柒
In other modern scripts
Eastern Arabic ١١٢٣٩٧ Devanagari ११२३९७ Bengali ১১২৩৯৭ Tamil ௧௧௨௩௯௭ Thai ๑๑๒๓๙๗ Tibetan ༡༡༢༣༩༧ Khmer ១១២៣៩៧ Lao ໑໑໒໓໙໗ Burmese ၁၁၂၃၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 112403.

Hex color
#01B70D
RGB(1, 183, 13)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.13.

Address
0.1.183.13
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.13

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 112,397 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 112397 first appears in π at position 956,930 of the decimal expansion (the 956,930ordinal-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.