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137,003

137,003 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.).

137,003 (one hundred thirty-seven thousand three) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 17 × 8,059. Written other ways, in hexadecimal, 0x2172B.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
300,731
Square (n²)
18,769,822,009
Cube (n³)
2,571,521,924,699,027
Divisor count
4
σ(n) — sum of divisors
145,080
φ(n) — Euler's totient
128,928
Sum of prime factors
8,076

Primality

Prime factorization: 17 × 8059

Nearest primes: 136,999 (−4) · 137,029 (+26)

Divisors & multiples

All divisors (4)
1 · 17 · 8059 · 137003
Aliquot sum (sum of proper divisors): 8,077
Factor pairs (a × b = 137,003)
1 × 137003
17 × 8059
First multiples
137,003 · 274,006 (double) · 411,009 · 548,012 · 685,015 · 822,018 · 959,021 · 1,096,024 · 1,233,027 · 1,370,030

Sums & aliquot sequence

As consecutive integers: 68,501 + 68,502 8,051 + 8,052 + … + 8,067 4,013 + 4,014 + … + 4,046
Aliquot sequence: 137,003 8,077 239 1 0 — terminates at zero

Continued fraction of √n

√137,003 = [370; (7, 5, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 56, 4, 7, 12, 2, 2, 3, 1, 42, 1, 3, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three
Ordinal
137003rd
Binary
100001011100101011
Octal
413453
Hexadecimal
0x2172B
Base64
Ahcr
One's complement
4,294,830,292 (32-bit)
Scientific notation
1.37003 × 10⁵
As a duration
137,003 s = 1 day, 14 hours, 3 minutes, 23 seconds
In other bases
ternary (3) 20221221012
quaternary (4) 201130223
quinary (5) 13341003
senary (6) 2534135
septenary (7) 1110266
nonary (9) 227835
undecimal (11) 93a29
duodecimal (12) 6734b
tridecimal (13) 4a489
tetradecimal (14) 37cdd
pentadecimal (15) 2a8d8

As an angle

137,003° = 380 × 360° + 203°
203° ≈ 3.543 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian)
͵ρλζγʹ
Mayan (base 20)
𝋱·𝋢·𝋪·𝋣
Chinese
一十三萬七千零三
Chinese (financial)
壹拾參萬柒仟零參
In other modern scripts
Eastern Arabic ١٣٧٠٠٣ Devanagari १३७००३ Bengali ১৩৭০০৩ Tamil ௧௩௭௦௦௩ Thai ๑๓๗๐๐๓ Tibetan ༡༣༧༠༠༣ Khmer ១៣៧០០៣ Lao ໑໓໗໐໐໓ Burmese ၁၃၇၀၀၃

Also seen as

Unicode codepoint
𡜫
CJK Unified Ideograph-2172B
U+2172B
Other letter (Lo)

UTF-8 encoding: F0 A1 9C AB (4 bytes).

Hex color
#02172B
RGB(2, 23, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.43.

Address
0.2.23.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.43

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 137,003 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 137003 first appears in π at position 862,300 of the decimal expansion (the 862,300ordinal-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.