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134,597

134,597 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.).

134,597 (one hundred thirty-four thousand five 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, 0x20DC5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,780
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
795,431
Square (n²)
18,116,352,409
Cube (n³)
2,438,406,685,194,173
Divisor count
2
σ(n) — sum of divisors
134,598
φ(n) — Euler's totient
134,596

Primality

134,597 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134597
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,597)
1 × 134597
First multiples
134,597 · 269,194 (double) · 403,791 · 538,388 · 672,985 · 807,582 · 942,179 · 1,076,776 · 1,211,373 · 1,345,970

Sums & aliquot sequence

As a sum of two squares: 226² + 289²
As consecutive integers: 67,298 + 67,299

Continued fraction of √n

√134,597 = [366; (1, 6, 1, 42, 3, 2, 19, 2, 2, 19, 2, 3, 42, 1, 6, 1, 732)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-four thousand five hundred ninety-seven
Ordinal
134597th
Binary
100000110111000101
Octal
406705
Hexadecimal
0x20DC5
Base64
Ag3F
One's complement
4,294,832,698 (32-bit)
Scientific notation
1.34597 × 10⁵
As a duration
134,597 s = 1 day, 13 hours, 23 minutes, 17 seconds
In other bases
ternary (3) 20211122002
quaternary (4) 200313011
quinary (5) 13301342
senary (6) 2515045
septenary (7) 1100261
nonary (9) 224562
undecimal (11) 92141
duodecimal (12) 65a85
tridecimal (13) 49358
tetradecimal (14) 370a1
pentadecimal (15) 29d32

As an angle

134,597° = 373 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλδφϟζʹ
Mayan (base 20)
𝋰·𝋰·𝋩·𝋱
Chinese
一十三萬四千五百九十七
Chinese (financial)
壹拾參萬肆仟伍佰玖拾柒
In other modern scripts
Eastern Arabic ١٣٤٥٩٧ Devanagari १३४५९७ Bengali ১৩৪৫৯৭ Tamil ௧௩௪௫௯௭ Thai ๑๓๔๕๙๗ Tibetan ༡༣༤༥༩༧ Khmer ១៣៤៥៩៧ Lao ໑໓໔໕໙໗ Burmese ၁၃၄၅၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 134593.

Unicode codepoint
𠷅
CJK Unified Ideograph-20Dc5
U+20DC5
Other letter (Lo)

UTF-8 encoding: F0 A0 B7 85 (4 bytes).

Hex color
#020DC5
RGB(2, 13, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.13.197.

Address
0.2.13.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.13.197

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 134,597 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 134597 first appears in π at position 37,400 of the decimal expansion (the 37,400ordinal-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.