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137,033

137,033 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.).

137,033 (one hundred thirty-seven thousand thirty-three) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 13 × 83 × 127. Written other ways, in hexadecimal, 0x21749.

Arithmetic Number Cube-Free Deficient Number Evil Number Gapful Number 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
330,731
Square (n²)
18,778,043,089
Cube (n³)
2,573,211,578,614,937
Divisor count
8
σ(n) — sum of divisors
150,528
φ(n) — Euler's totient
123,984
Sum of prime factors
223

Primality

Prime factorization: 13 × 83 × 127

Nearest primes: 137,029 (−4) · 137,077 (+44)

Divisors & multiples

All divisors (8)
1 · 13 · 83 · 127 · 1079 · 1651 · 10541 · 137033
Aliquot sum (sum of proper divisors): 13,495
Factor pairs (a × b = 137,033)
1 × 137033
13 × 10541
83 × 1651
127 × 1079
First multiples
137,033 · 274,066 (double) · 411,099 · 548,132 · 685,165 · 822,198 · 959,231 · 1,096,264 · 1,233,297 · 1,370,330

Sums & aliquot sequence

As consecutive integers: 68,516 + 68,517 10,535 + 10,536 + … + 10,547 5,258 + 5,259 + … + 5,283 1,610 + 1,611 + … + 1,692
Aliquot sequence: 137,033 13,495 2,705 547 1 0 — terminates at zero

Continued fraction of √n

√137,033 = [370; (5, 1, 1, 3, 3, 43, 4, 14, 1, 6, 5, 2, 2, 1, 2, 1, 1, 2, 6, 1, 16, 2, 1, 4, …)]

Representations

In words
one hundred thirty-seven thousand thirty-three
Ordinal
137033rd
Binary
100001011101001001
Octal
413511
Hexadecimal
0x21749
Base64
AhdJ
One's complement
4,294,830,262 (32-bit)
Scientific notation
1.37033 × 10⁵
As a duration
137,033 s = 1 day, 14 hours, 3 minutes, 53 seconds
In other bases
ternary (3) 20221222022
quaternary (4) 201131021
quinary (5) 13341113
senary (6) 2534225
septenary (7) 1110341
nonary (9) 227868
undecimal (11) 93a56
duodecimal (12) 67375
tridecimal (13) 4a4b0
tetradecimal (14) 37d21
pentadecimal (15) 2a908

As an angle

137,033° = 380 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρλζλγʹ
Mayan (base 20)
𝋱·𝋢·𝋫·𝋭
Chinese
一十三萬七千零三十三
Chinese (financial)
壹拾參萬柒仟零參拾參
In other modern scripts
Eastern Arabic ١٣٧٠٣٣ Devanagari १३७०३३ Bengali ১৩৭০৩৩ Tamil ௧௩௭௦௩௩ Thai ๑๓๗๐๓๓ Tibetan ༡༣༧༠༣༣ Khmer ១៣៧០៣៣ Lao ໑໓໗໐໓໓ Burmese ၁၃၇၀၃၃

Also seen as

Unicode codepoint
𡝉
CJK Unified Ideograph-21749
U+21749
Other letter (Lo)

UTF-8 encoding: F0 A1 9D 89 (4 bytes).

Hex color
#021749
RGB(2, 23, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.73.

Address
0.2.23.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.73

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 137,033 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 137033 first appears in π at position 95,585 of the decimal expansion (the 95,585ordinal-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.