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137,105

137,105 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.).

137,105 (one hundred thirty-seven thousand one hundred five) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 5 × 17 × 1,613. Written other ways, in hexadecimal, 0x21791.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
501,731
Square (n²)
18,797,781,025
Cube (n³)
2,577,269,767,432,625
Divisor count
8
σ(n) — sum of divisors
174,312
φ(n) — Euler's totient
103,168
Sum of prime factors
1,635

Primality

Prime factorization: 5 × 17 × 1613

Nearest primes: 137,089 (−16) · 137,117 (+12)

Divisors & multiples

All divisors (8)
1 · 5 · 17 · 85 · 1613 · 8065 · 27421 · 137105
Aliquot sum (sum of proper divisors): 37,207
Factor pairs (a × b = 137,105)
1 × 137105
5 × 27421
17 × 8065
85 × 1613
First multiples
137,105 · 274,210 (double) · 411,315 · 548,420 · 685,525 · 822,630 · 959,735 · 1,096,840 · 1,233,945 · 1,371,050

Sums & aliquot sequence

As a sum of two squares: 41² + 368² = 137² + 344² = 188² + 319² = 193² + 316²
As consecutive integers: 68,552 + 68,553 27,419 + 27,420 + 27,421 + 27,422 + 27,423 13,706 + 13,707 + … + 13,715 8,057 + 8,058 + … + 8,073
Aliquot sequence: 137,105 37,207 1,313 115 29 1 0 — terminates at zero

Continued fraction of √n

√137,105 = [370; (3, 1, 1, 1, 1, 3, 740)]

Period length 7 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred five
Ordinal
137105th
Binary
100001011110010001
Octal
413621
Hexadecimal
0x21791
Base64
AheR
One's complement
4,294,830,190 (32-bit)
Scientific notation
1.37105 × 10⁵
As a duration
137,105 s = 1 day, 14 hours, 5 minutes, 5 seconds
In other bases
ternary (3) 20222001222
quaternary (4) 201132101
quinary (5) 13341410
senary (6) 2534425
septenary (7) 1110503
nonary (9) 228058
undecimal (11) 94011
duodecimal (12) 67415
tridecimal (13) 4a537
tetradecimal (14) 37d73
pentadecimal (15) 2a955
Palindromic in base 14

As an angle

137,105° = 380 × 360° + 305°
305° ≈ 5.323 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρεʹ
Mayan (base 20)
𝋱·𝋢·𝋯·𝋥
Chinese
一十三萬七千一百零五
Chinese (financial)
壹拾參萬柒仟壹佰零伍
In other modern scripts
Eastern Arabic ١٣٧١٠٥ Devanagari १३७१०५ Bengali ১৩৭১০৫ Tamil ௧௩௭௧௦௫ Thai ๑๓๗๑๐๕ Tibetan ༡༣༧༡༠༥ Khmer ១៣៧១០៥ Lao ໑໓໗໑໐໕ Burmese ၁၃၇၁၀၅

Also seen as

Unicode codepoint
𡞑
CJK Unified Ideograph-21791
U+21791
Other letter (Lo)

UTF-8 encoding: F0 A1 9E 91 (4 bytes).

Hex color
#021791
RGB(2, 23, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.145.

Address
0.2.23.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.145

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 137,105 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 137105 first appears in π at position 885,755 of the decimal expansion (the 885,755ordinal-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

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