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137,115

137,115 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.).

137,115 (one hundred thirty-seven thousand one hundred fifteen) is an odd 6-digit number. It is a composite number with 24 divisors, and factors as 3² × 5 × 11 × 277. Written other ways, in hexadecimal, 0x2179B.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number Happy Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
105
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
511,731
Square (n²)
18,800,523,225
Cube (n³)
2,577,833,741,995,875
Divisor count
24
σ(n) — sum of divisors
260,208
φ(n) — Euler's totient
66,240
Sum of prime factors
299

Primality

Prime factorization: 3 2 × 5 × 11 × 277

Nearest primes: 137,089 (−26) · 137,117 (+2)

Divisors & multiples

All divisors (24)
1 · 3 · 5 · 9 · 11 · 15 · 33 · 45 · 55 · 99 · 165 · 277 · 495 · 831 · 1385 · 2493 · 3047 · 4155 · 9141 · 12465 · 15235 · 27423 · 45705 · 137115
Aliquot sum (sum of proper divisors): 123,093
Factor pairs (a × b = 137,115)
1 × 137115
3 × 45705
5 × 27423
9 × 15235
11 × 12465
15 × 9141
33 × 4155
45 × 3047
55 × 2493
99 × 1385
165 × 831
277 × 495
First multiples
137,115 · 274,230 (double) · 411,345 · 548,460 · 685,575 · 822,690 · 959,805 · 1,096,920 · 1,234,035 · 1,371,150

Sums & aliquot sequence

As consecutive integers: 68,557 + 68,558 45,704 + 45,705 + 45,706 27,421 + 27,422 + 27,423 + 27,424 + 27,425 22,850 + 22,851 + 22,852 + 22,853 + 22,854 + 22,855
Aliquot sequence: 137,115 123,093 65,067 27,837 13,443 4,485 3,579 1,197 883 1 0 — terminates at zero

Continued fraction of √n

√137,115 = [370; (3, 2, 3, 1, 9, 4, 3, 1, 1, 2, 1, 8, 2, 2, 1, 3, 5, 2, 1, 1, 1, 1, 7, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred fifteen
Ordinal
137115th
Binary
100001011110011011
Octal
413633
Hexadecimal
0x2179B
Base64
Aheb
One's complement
4,294,830,180 (32-bit)
Scientific notation
1.37115 × 10⁵
As a duration
137,115 s = 1 day, 14 hours, 5 minutes, 15 seconds
In other bases
ternary (3) 20222002100
quaternary (4) 201132123
quinary (5) 13341430
senary (6) 2534443
septenary (7) 1110516
nonary (9) 228070
undecimal (11) 94020
duodecimal (12) 67423
tridecimal (13) 4a544
tetradecimal (14) 37d7d
pentadecimal (15) 2a960

As an angle

137,115° = 380 × 360° + 315°
315° ≈ 5.498 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζριεʹ
Mayan (base 20)
𝋱·𝋢·𝋯·𝋯
Chinese
一十三萬七千一百一十五
Chinese (financial)
壹拾參萬柒仟壹佰壹拾伍
In other modern scripts
Eastern Arabic ١٣٧١١٥ Devanagari १३७११५ Bengali ১৩৭১১৫ Tamil ௧௩௭௧௧௫ Thai ๑๓๗๑๑๕ Tibetan ༡༣༧༡༡༥ Khmer ១៣៧១១៥ Lao ໑໓໗໑໑໕ Burmese ၁၃၇၁၁၅

Also seen as

Unicode codepoint
𡞛
CJK Unified Ideograph-2179B
U+2179B
Other letter (Lo)

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

Hex color
#02179B
RGB(2, 23, 155)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.155.

Address
0.2.23.155
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.155

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 137,115 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 137115 first appears in π at position 151,462 of the decimal expansion (the 151,462ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.