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137,684

137,684 is a composite number, even.

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.).

137,684 (one hundred thirty-seven thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,421. Written other ways, in hexadecimal, 0x219D4.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
486,731
Recamán's sequence
a(493,459) = 137,684
Square (n²)
18,956,883,856
Cube (n³)
2,610,059,596,829,504
Divisor count
6
σ(n) — sum of divisors
240,954
φ(n) — Euler's totient
68,840
Sum of prime factors
34,425

Primality

Prime factorization: 2 2 × 34421

Nearest primes: 137,659 (−25) · 137,699 (+15)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34421 · 68842 (half) · 137684
Aliquot sum (sum of proper divisors): 103,270
Factor pairs (a × b = 137,684)
1 × 137684
2 × 68842
4 × 34421
First multiples
137,684 · 275,368 (double) · 413,052 · 550,736 · 688,420 · 826,104 · 963,788 · 1,101,472 · 1,239,156 · 1,376,840

Sums & aliquot sequence

As a sum of two squares: 28² + 370²
As consecutive integers: 17,207 + 17,208 + … + 17,214
Aliquot sequence: 137,684 103,270 91,130 85,774 52,826 27,898 19,982 10,594 5,300 6,418 3,212 3,004 2,260 2,528 2,512 2,386 1,196 — unresolved within range

Continued fraction of √n

√137,684 = [371; (17, 3, 1, 7, 1, 42, 1, 3, 3, 4, 1, 147, 1, 1, 1, 1, 2, 1, 5, 1, 2, 1, 2, 1, …)]

Representations

In words
one hundred thirty-seven thousand six hundred eighty-four
Ordinal
137684th
Binary
100001100111010100
Octal
414724
Hexadecimal
0x219D4
Base64
AhnU
One's complement
4,294,829,611 (32-bit)
Scientific notation
1.37684 × 10⁵
As a duration
137,684 s = 1 day, 14 hours, 14 minutes, 44 seconds
In other bases
ternary (3) 20222212102
quaternary (4) 201213110
quinary (5) 13401214
senary (6) 2541232
septenary (7) 1112261
nonary (9) 228772
undecimal (11) 94498
duodecimal (12) 67818
tridecimal (13) 4a891
tetradecimal (14) 38268
pentadecimal (15) 2abde

As an angle

137,684° = 382 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχπδʹ
Mayan (base 20)
𝋱·𝋤·𝋤·𝋤
Chinese
一十三萬七千六百八十四
Chinese (financial)
壹拾參萬柒仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٧٦٨٤ Devanagari १३७६८४ Bengali ১৩৭৬৮৪ Tamil ௧௩௭௬௮௪ Thai ๑๓๗๖๘๔ Tibetan ༡༣༧༦༨༤ Khmer ១៣៧៦៨៤ Lao ໑໓໗໖໘໔ Burmese ၁၃၇၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137684, here are decompositions:

  • 31 + 137653 = 137684
  • 61 + 137623 = 137684
  • 97 + 137587 = 137684
  • 193 + 137491 = 137684
  • 241 + 137443 = 137684
  • 271 + 137413 = 137684
  • 331 + 137353 = 137684
  • 433 + 137251 = 137684

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧔
CJK Unified Ideograph-219D4
U+219D4
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 94 (4 bytes).

Hex color
#0219D4
RGB(2, 25, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.212.

Address
0.2.25.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.212

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 137,684 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 137684 first appears in π at position 471,348 of the decimal expansion (the 471,348ordinal-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.