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137,764

137,764 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.).

137,764 (one hundred thirty-seven thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 11 × 31 × 101. Written other ways, in hexadecimal, 0x21A24.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,528
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
467,731
Recamán's sequence
a(493,299) = 137,764
Square (n²)
18,978,919,696
Cube (n³)
2,614,611,892,999,744
Divisor count
24
σ(n) — sum of divisors
274,176
φ(n) — Euler's totient
60,000
Sum of prime factors
147

Primality

Prime factorization: 2 2 × 11 × 31 × 101

Nearest primes: 137,743 (−21) · 137,771 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 11 · 22 · 31 · 44 · 62 · 101 · 124 · 202 · 341 · 404 · 682 · 1111 · 1364 · 2222 · 3131 · 4444 · 6262 · 12524 · 34441 · 68882 (half) · 137764
Aliquot sum (sum of proper divisors): 136,412
Factor pairs (a × b = 137,764)
1 × 137764
2 × 68882
4 × 34441
11 × 12524
22 × 6262
31 × 4444
44 × 3131
62 × 2222
101 × 1364
124 × 1111
202 × 682
341 × 404
First multiples
137,764 · 275,528 (double) · 413,292 · 551,056 · 688,820 · 826,584 · 964,348 · 1,102,112 · 1,239,876 · 1,377,640

Sums & aliquot sequence

As consecutive integers: 17,217 + 17,218 + … + 17,224 12,519 + 12,520 + … + 12,529 4,429 + 4,430 + … + 4,459 1,522 + 1,523 + … + 1,609
Aliquot sequence: 137,764 136,412 106,348 96,764 82,660 90,968 82,912 80,384 81,250 82,802 47,998 25,010 21,862 12,914 8,254 4,130 4,510 — unresolved within range

Continued fraction of √n

√137,764 = [371; (6, 29, 1, 1, 8, 1, 7, 1, 16, 2, 1, 1, 1, 15, 1, 6, 1, 2, 2, 16, 14, 4, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred sixty-four
Ordinal
137764th
Binary
100001101000100100
Octal
415044
Hexadecimal
0x21A24
Base64
Ahok
One's complement
4,294,829,531 (32-bit)
Scientific notation
1.37764 × 10⁵
As a duration
137,764 s = 1 day, 14 hours, 16 minutes, 4 seconds
In other bases
ternary (3) 20222222101
quaternary (4) 201220210
quinary (5) 13402024
senary (6) 2541444
septenary (7) 1112434
nonary (9) 228871
undecimal (11) 94560
duodecimal (12) 67884
tridecimal (13) 4a923
tetradecimal (14) 382c4
pentadecimal (15) 2ac44

As an angle

137,764° = 382 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζψξδʹ
Mayan (base 20)
𝋱·𝋤·𝋨·𝋤
Chinese
一十三萬七千七百六十四
Chinese (financial)
壹拾參萬柒仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٧٧٦٤ Devanagari १३७७६४ Bengali ১৩৭৭৬৪ Tamil ௧௩௭௭௬௪ Thai ๑๓๗๗๖๔ Tibetan ༡༣༧༧༦༤ Khmer ១៣៧៧៦៤ Lao ໑໓໗໗໖໔ Burmese ၁၃၇၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137764, here are decompositions:

  • 41 + 137723 = 137764
  • 131 + 137633 = 137764
  • 167 + 137597 = 137764
  • 191 + 137573 = 137764
  • 197 + 137567 = 137764
  • 227 + 137537 = 137764
  • 257 + 137507 = 137764
  • 281 + 137483 = 137764

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨤
CJK Unified Ideograph-21A24
U+21A24
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 A4 (4 bytes).

Hex color
#021A24
RGB(2, 26, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.36.

Address
0.2.26.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.36

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 137,764 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading