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137,698

137,698 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.).

137,698 (one hundred thirty-seven thousand six hundred ninety-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2 × 11² × 569. Written other ways, in hexadecimal, 0x219E2.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
34
Digit product
9,072
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
896,731
Recamán's sequence
a(493,431) = 137,698
Square (n²)
18,960,739,204
Cube (n³)
2,610,855,866,912,392
Divisor count
12
σ(n) — sum of divisors
227,430
φ(n) — Euler's totient
62,480
Sum of prime factors
593

Primality

Prime factorization: 2 × 11 2 × 569

Nearest primes: 137,659 (−39) · 137,699 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 11 · 22 · 121 · 242 · 569 · 1138 · 6259 · 12518 · 68849 (half) · 137698
Aliquot sum (sum of proper divisors): 89,732
Factor pairs (a × b = 137,698)
1 × 137698
2 × 68849
11 × 12518
22 × 6259
121 × 1138
242 × 569
First multiples
137,698 · 275,396 (double) · 413,094 · 550,792 · 688,490 · 826,188 · 963,886 · 1,101,584 · 1,239,282 · 1,376,980

Sums & aliquot sequence

As a sum of two squares: 77² + 363²
As consecutive integers: 34,423 + 34,424 + 34,425 + 34,426 12,513 + 12,514 + … + 12,523 3,108 + 3,109 + … + 3,151 1,078 + 1,079 + … + 1,198
Aliquot sequence: 137,698 89,732 67,306 35,258 21,844 17,580 31,812 49,500 120,852 195,926 100,258 50,132 39,244 29,440 44,144 45,136 65,968 — unresolved within range

Continued fraction of √n

√137,698 = [371; (13, 52, 1, 14, 6, 14, 1, 52, 13, 742)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred ninety-eight
Ordinal
137698th
Binary
100001100111100010
Octal
414742
Hexadecimal
0x219E2
Base64
Ahni
One's complement
4,294,829,597 (32-bit)
Scientific notation
1.37698 × 10⁵
As a duration
137,698 s = 1 day, 14 hours, 14 minutes, 58 seconds
In other bases
ternary (3) 20222212221
quaternary (4) 201213202
quinary (5) 13401243
senary (6) 2541254
septenary (7) 1112311
nonary (9) 228787
undecimal (11) 94500
duodecimal (12) 6782a
tridecimal (13) 4a8a2
tetradecimal (14) 38278
pentadecimal (15) 2abed

As an angle

137,698° = 382 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχϟηʹ
Mayan (base 20)
𝋱·𝋤·𝋤·𝋲
Chinese
一十三萬七千六百九十八
Chinese (financial)
壹拾參萬柒仟陸佰玖拾捌
In other modern scripts
Eastern Arabic ١٣٧٦٩٨ Devanagari १३७६९८ Bengali ১৩৭৬৯৮ Tamil ௧௩௭௬௯௮ Thai ๑๓๗๖๙๘ Tibetan ༡༣༧༦༩༨ Khmer ១៣៧៦៩៨ Lao ໑໓໗໖໙໘ Burmese ၁၃၇၆၉၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137698, here are decompositions:

  • 59 + 137639 = 137698
  • 101 + 137597 = 137698
  • 131 + 137567 = 137698
  • 179 + 137519 = 137698
  • 191 + 137507 = 137698
  • 251 + 137447 = 137698
  • 311 + 137387 = 137698
  • 359 + 137339 = 137698

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧢
CJK Unified Ideograph-219E2
U+219E2
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 A2 (4 bytes).

Hex color
#0219E2
RGB(2, 25, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.226.

Address
0.2.25.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.226

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 137,698 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 137698 first appears in π at position 46,079 of the decimal expansion (the 46,079ordinal-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