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147,137

147,137 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.).

147,137 (one hundred forty-seven thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x23EC1.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
588
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
731,741
Recamán's sequence
a(214,142) = 147,137
Square (n²)
21,649,296,769
Cube (n³)
3,185,412,578,700,353
Divisor count
2
σ(n) — sum of divisors
147,138
φ(n) — Euler's totient
147,136

Primality

147,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 147137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 147,137)
1 × 147137
First multiples
147,137 · 294,274 (double) · 441,411 · 588,548 · 735,685 · 882,822 · 1,029,959 · 1,177,096 · 1,324,233 · 1,471,370

Sums & aliquot sequence

As a sum of two squares: 121² + 364²
As consecutive integers: 73,568 + 73,569

Continued fraction of √n

√147,137 = [383; (1, 1, 2, 2, 6, 33, 5, 58, 1, 4, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 6, 4, 1, …)]

Representations

In words
one hundred forty-seven thousand one hundred thirty-seven
Ordinal
147137th
Binary
100011111011000001
Octal
437301
Hexadecimal
0x23EC1
Base64
Aj7B
One's complement
4,294,820,158 (32-bit)
Scientific notation
1.47137 × 10⁵
As a duration
147,137 s = 1 day, 16 hours, 52 minutes, 17 seconds
In other bases
ternary (3) 21110211112
quaternary (4) 203323001
quinary (5) 14202022
senary (6) 3053105
septenary (7) 1151654
nonary (9) 243745
undecimal (11) a0601
duodecimal (12) 71195
tridecimal (13) 51c83
tetradecimal (14) 3b89b
pentadecimal (15) 2d8e2

As an angle

147,137° = 408 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμζρλζʹ
Mayan (base 20)
𝋲·𝋧·𝋰·𝋱
Chinese
一十四萬七千一百三十七
Chinese (financial)
壹拾肆萬柒仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٤٧١٣٧ Devanagari १४७१३७ Bengali ১৪৭১৩৭ Tamil ௧௪௭௧௩௭ Thai ๑๔๗๑๓๗ Tibetan ༡༤༧༡༣༧ Khmer ១៤៧១៣៧ Lao ໑໔໗໑໓໗ Burmese ၁၄၇၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 147139.

Unicode codepoint
𣻁
CJK Unified Ideograph-23Ec1
U+23EC1
Other letter (Lo)

UTF-8 encoding: F0 A3 BB 81 (4 bytes).

Hex color
#023EC1
RGB(2, 62, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.62.193.

Address
0.2.62.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.62.193

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 147,137 and was likely granted around 1873.

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

Position in π

The digit sequence 147137 first appears in π at position 531,407 of the decimal expansion (the 531,407ordinal-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.