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137,609

137,609 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.).

137,609 (one hundred thirty-seven thousand six hundred nine) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 23 × 31 × 193. Written other ways, in hexadecimal, 0x21989.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
906,731
Recamán's sequence
a(493,609) = 137,609
Square (n²)
18,936,236,881
Cube (n³)
2,605,796,620,957,529
Divisor count
8
σ(n) — sum of divisors
148,992
φ(n) — Euler's totient
126,720
Sum of prime factors
247

Primality

Prime factorization: 23 × 31 × 193

Nearest primes: 137,597 (−12) · 137,623 (+14)

Divisors & multiples

All divisors (8)
1 · 23 · 31 · 193 · 713 · 4439 · 5983 · 137609
Aliquot sum (sum of proper divisors): 11,383
Factor pairs (a × b = 137,609)
1 × 137609
23 × 5983
31 × 4439
193 × 713
First multiples
137,609 · 275,218 (double) · 412,827 · 550,436 · 688,045 · 825,654 · 963,263 · 1,100,872 · 1,238,481 · 1,376,090

Sums & aliquot sequence

As consecutive integers: 68,804 + 68,805 5,972 + 5,973 + … + 5,994 4,424 + 4,425 + … + 4,454 2,969 + 2,970 + … + 3,014
Aliquot sequence: 137,609 11,383 1 0 — terminates at zero

Continued fraction of √n

√137,609 = [370; (1, 22, 5, 2, 1, 2, 4, 1, 2, 1, 10, 1, 2, 11, 4, 92, 2, 45, 1, 6, 1, 4, 1, 11, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred nine
Ordinal
137609th
Binary
100001100110001001
Octal
414611
Hexadecimal
0x21989
Base64
AhmJ
One's complement
4,294,829,686 (32-bit)
Scientific notation
1.37609 × 10⁵
As a duration
137,609 s = 1 day, 14 hours, 13 minutes, 29 seconds
In other bases
ternary (3) 20222202122
quaternary (4) 201212021
quinary (5) 13400414
senary (6) 2541025
septenary (7) 1112123
nonary (9) 228678
undecimal (11) 9442a
duodecimal (12) 67775
tridecimal (13) 4a834
tetradecimal (14) 38213
pentadecimal (15) 2ab8e

As an angle

137,609° = 382 × 360° + 89°
89° ≈ 1.553 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχθʹ
Mayan (base 20)
𝋱·𝋤·𝋠·𝋩
Chinese
一十三萬七千六百零九
Chinese (financial)
壹拾參萬柒仟陸佰零玖
In other modern scripts
Eastern Arabic ١٣٧٦٠٩ Devanagari १३७६०९ Bengali ১৩৭৬০৯ Tamil ௧௩௭௬௦௯ Thai ๑๓๗๖๐๙ Tibetan ༡༣༧༦༠༩ Khmer ១៣៧៦០៩ Lao ໑໓໗໖໐໙ Burmese ၁၃၇၆၀၉

Also seen as

Unicode codepoint
𡦉
CJK Unified Ideograph-21989
U+21989
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 89 (4 bytes).

Hex color
#021989
RGB(2, 25, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.137.

Address
0.2.25.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.137

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 137,609 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 137609 first appears in π at position 499,935 of the decimal expansion (the 499,935ordinal-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.