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137,477

137,477 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.).

137,477 (one hundred thirty-seven thousand four hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21905.

Arithmetic Number Chen 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
4,116
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
774,731
Square (n²)
18,899,925,529
Cube (n³)
2,598,305,061,950,333
Divisor count
2
σ(n) — sum of divisors
137,478
φ(n) — Euler's totient
137,476

Primality

137,477 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137477
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,477)
1 × 137477
First multiples
137,477 · 274,954 (double) · 412,431 · 549,908 · 687,385 · 824,862 · 962,339 · 1,099,816 · 1,237,293 · 1,374,770

Sums & aliquot sequence

As a sum of two squares: 161² + 334²
As consecutive integers: 68,738 + 68,739

Continued fraction of √n

√137,477 = [370; (1, 3, 1, 1, 10, 2, 1, 6, 7, 1, 10, 5, 4, 8, 1, 2, 3, 2, 3, 1, 1, 25, 1, 11, …)]

Representations

In words
one hundred thirty-seven thousand four hundred seventy-seven
Ordinal
137477th
Binary
100001100100000101
Octal
414405
Hexadecimal
0x21905
Base64
AhkF
One's complement
4,294,829,818 (32-bit)
Scientific notation
1.37477 × 10⁵
As a duration
137,477 s = 1 day, 14 hours, 11 minutes, 17 seconds
In other bases
ternary (3) 20222120202
quaternary (4) 201210011
quinary (5) 13344402
senary (6) 2540245
septenary (7) 1111544
nonary (9) 228522
undecimal (11) 9431a
duodecimal (12) 67685
tridecimal (13) 4a762
tetradecimal (14) 3815b
pentadecimal (15) 2ab02

As an angle

137,477° = 381 × 360° + 317°
317° ≈ 5.533 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυοζʹ
Mayan (base 20)
𝋱·𝋣·𝋭·𝋱
Chinese
一十三萬七千四百七十七
Chinese (financial)
壹拾參萬柒仟肆佰柒拾柒
In other modern scripts
Eastern Arabic ١٣٧٤٧٧ Devanagari १३७४७७ Bengali ১৩৭৪৭৭ Tamil ௧௩௭௪௭௭ Thai ๑๓๗๔๗๗ Tibetan ༡༣༧༤༧༧ Khmer ១៣៧៤៧៧ Lao ໑໓໗໔໗໗ Burmese ၁၃၇၄၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137483.

Unicode codepoint
𡤅
CJK Unified Ideograph-21905
U+21905
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 85 (4 bytes).

Hex color
#021905
RGB(2, 25, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.5.

Address
0.2.25.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.5

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 137,477 and was likely granted around 1872.

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

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.