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137,165

137,165 is a composite number, 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.).

137,165 (one hundred thirty-seven thousand one hundred sixty-five) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 5 × 7 × 3,919. Written other ways, in hexadecimal, 0x217CD.

Arithmetic Number Cube-Free Deficient Number Evil Number Self Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
630
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
561,731
Square (n²)
18,814,237,225
Cube (n³)
2,580,654,848,967,125
Divisor count
8
σ(n) — sum of divisors
188,160
φ(n) — Euler's totient
94,032
Sum of prime factors
3,931

Primality

Prime factorization: 5 × 7 × 3919

Nearest primes: 137,153 (−12) · 137,177 (+12)

Divisors & multiples

All divisors (8)
1 · 5 · 7 · 35 · 3919 · 19595 · 27433 · 137165
Aliquot sum (sum of proper divisors): 50,995
Factor pairs (a × b = 137,165)
1 × 137165
5 × 27433
7 × 19595
35 × 3919
First multiples
137,165 · 274,330 (double) · 411,495 · 548,660 · 685,825 · 822,990 · 960,155 · 1,097,320 · 1,234,485 · 1,371,650

Sums & aliquot sequence

As consecutive integers: 68,582 + 68,583 27,431 + 27,432 + 27,433 + 27,434 + 27,435 19,592 + 19,593 + … + 19,598 13,712 + 13,713 + … + 13,721
Aliquot sequence: 137,165 50,995 22,733 307 1 0 — terminates at zero

Continued fraction of √n

√137,165 = [370; (2, 1, 3, 1, 5, 1, 1, 1, 9, 10, 3, 25, 4, 1, 1, 3, 1, 1, 2, 1, 1, 20, 1, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred sixty-five
Ordinal
137165th
Binary
100001011111001101
Octal
413715
Hexadecimal
0x217CD
Base64
AhfN
One's complement
4,294,830,130 (32-bit)
Scientific notation
1.37165 × 10⁵
As a duration
137,165 s = 1 day, 14 hours, 6 minutes, 5 seconds
In other bases
ternary (3) 20222011012
quaternary (4) 201133031
quinary (5) 13342130
senary (6) 2535005
septenary (7) 1110620
nonary (9) 228135
undecimal (11) 94066
duodecimal (12) 67465
tridecimal (13) 4a582
tetradecimal (14) 37db7
pentadecimal (15) 2a995

As an angle

137,165° = 381 × 360° + 5°
5° ≈ 0.087 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρξεʹ
Mayan (base 20)
𝋱·𝋢·𝋲·𝋥
Chinese
一十三萬七千一百六十五
Chinese (financial)
壹拾參萬柒仟壹佰陸拾伍
In other modern scripts
Eastern Arabic ١٣٧١٦٥ Devanagari १३७१६५ Bengali ১৩৭১৬৫ Tamil ௧௩௭௧௬௫ Thai ๑๓๗๑๖๕ Tibetan ༡༣༧༡༦༥ Khmer ១៣៧១៦៥ Lao ໑໓໗໑໖໕ Burmese ၁၃၇၁၆၅

Also seen as

Unicode codepoint
𡟍
CJK Unified Ideograph-217Cd
U+217CD
Other letter (Lo)

UTF-8 encoding: F0 A1 9F 8D (4 bytes).

Hex color
#0217CD
RGB(2, 23, 205)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.205.

Address
0.2.23.205
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.205

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 137,165 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 137165 first appears in π at position 188,982 of the decimal expansion (the 188,982ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.