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134,741

134,741 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.).

134,741 (one hundred thirty-four thousand seven hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20E55.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
147,431
Square (n²)
18,155,137,081
Cube (n³)
2,446,241,325,431,021
Divisor count
2
σ(n) — sum of divisors
134,742
φ(n) — Euler's totient
134,740

Primality

134,741 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 134741
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 134,741)
1 × 134741
First multiples
134,741 · 269,482 (double) · 404,223 · 538,964 · 673,705 · 808,446 · 943,187 · 1,077,928 · 1,212,669 · 1,347,410

Sums & aliquot sequence

As a sum of two squares: 254² + 265²
As consecutive integers: 67,370 + 67,371

Continued fraction of √n

√134,741 = [367; (14, 8, 1, 1, 3, 3, 5, 1, 1, 3, 6, 1, 5, 2, 6, 1, 7, 2, 1, 1, 1, 1, 2, 1, …)]

Representations

In words
one hundred thirty-four thousand seven hundred forty-one
Ordinal
134741st
Binary
100000111001010101
Octal
407125
Hexadecimal
0x20E55
Base64
Ag5V
One's complement
4,294,832,554 (32-bit)
Scientific notation
1.34741 × 10⁵
As a duration
134,741 s = 1 day, 13 hours, 25 minutes, 41 seconds
In other bases
ternary (3) 20211211102
quaternary (4) 200321111
quinary (5) 13302431
senary (6) 2515445
septenary (7) 1100555
nonary (9) 224742
undecimal (11) 92262
duodecimal (12) 65b85
tridecimal (13) 49439
tetradecimal (14) 37165
pentadecimal (15) 29dcb

As an angle

134,741° = 374 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλδψμαʹ
Mayan (base 20)
𝋰·𝋰·𝋱·𝋡
Chinese
一十三萬四千七百四十一
Chinese (financial)
壹拾參萬肆仟柒佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٤٧٤١ Devanagari १३४७४१ Bengali ১৩৪৭৪১ Tamil ௧௩௪௭௪௧ Thai ๑๓๔๗๔๑ Tibetan ༡༣༤༧༤༡ Khmer ១៣៤៧៤១ Lao ໑໓໔໗໔໑ Burmese ၁၃၄၇၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠹕
CJK Unified Ideograph-20E55
U+20E55
Other letter (Lo)

UTF-8 encoding: F0 A0 B9 95 (4 bytes).

Hex color
#020E55
RGB(2, 14, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.14.85.

Address
0.2.14.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.14.85

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 134,741 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 134741 first appears in π at position 866,788 of the decimal expansion (the 866,788ordinal-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.