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137,021

137,021 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.).

137,021 (one hundred thirty-seven thousand twenty-one) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 73 × 1,877. Written other ways, in hexadecimal, 0x2173D.

Arithmetic Number Cube-Free Deficient Number Evil 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
120,731
Square (n²)
18,774,754,441
Cube (n³)
2,572,535,628,260,261
Divisor count
4
σ(n) — sum of divisors
138,972
φ(n) — Euler's totient
135,072
Sum of prime factors
1,950

Primality

Prime factorization: 73 × 1877

Nearest primes: 136,999 (−22) · 137,029 (+8)

Divisors & multiples

All divisors (4)
1 · 73 · 1877 · 137021
Aliquot sum (sum of proper divisors): 1,951
Factor pairs (a × b = 137,021)
1 × 137021
73 × 1877
First multiples
137,021 · 274,042 (double) · 411,063 · 548,084 · 685,105 · 822,126 · 959,147 · 1,096,168 · 1,233,189 · 1,370,210

Sums & aliquot sequence

As a sum of two squares: 11² + 370² = 235² + 286²
As consecutive integers: 68,510 + 68,511 1,841 + 1,842 + … + 1,913 866 + 867 + … + 1,011
Aliquot sequence: 137,021 1,951 1 0 — terminates at zero

Continued fraction of √n

√137,021 = [370; (6, 8, 1, 1, 5, 3, 3, 19, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 4, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand twenty-one
Ordinal
137021st
Binary
100001011100111101
Octal
413475
Hexadecimal
0x2173D
Base64
Ahc9
One's complement
4,294,830,274 (32-bit)
Scientific notation
1.37021 × 10⁵
As a duration
137,021 s = 1 day, 14 hours, 3 minutes, 41 seconds
In other bases
ternary (3) 20221221212
quaternary (4) 201130331
quinary (5) 13341041
senary (6) 2534205
septenary (7) 1110323
nonary (9) 227855
undecimal (11) 93a45
duodecimal (12) 67365
tridecimal (13) 4a4a1
tetradecimal (14) 37d13
pentadecimal (15) 2a8eb

As an angle

137,021° = 380 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρλζκαʹ
Mayan (base 20)
𝋱·𝋢·𝋫·𝋡
Chinese
一十三萬七千零二十一
Chinese (financial)
壹拾參萬柒仟零貳拾壹
In other modern scripts
Eastern Arabic ١٣٧٠٢١ Devanagari १३७०२१ Bengali ১৩৭০২১ Tamil ௧௩௭௦௨௧ Thai ๑๓๗๐๒๑ Tibetan ༡༣༧༠༢༡ Khmer ១៣៧០២១ Lao ໑໓໗໐໒໑ Burmese ၁၃၇၀၂၁

Also seen as

Unicode codepoint
𡜽
CJK Unified Ideograph-2173D
U+2173D
Other letter (Lo)

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

Hex color
#02173D
RGB(2, 23, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.61.

Address
0.2.23.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.61

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 137,021 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 137021 first appears in π at position 81,172 of the decimal expansion (the 81,172ordinal-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.