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137,884

137,884 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.).

137,884 (one hundred thirty-seven thousand eight hundred eighty-four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,471. Written other ways, in hexadecimal, 0x21A9C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
5,376
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
488,731
Recamán's sequence
a(493,059) = 137,884
Square (n²)
19,011,997,456
Cube (n³)
2,621,450,257,223,104
Divisor count
6
σ(n) — sum of divisors
241,304
φ(n) — Euler's totient
68,940
Sum of prime factors
34,475

Primality

Prime factorization: 2 2 × 34471

Nearest primes: 137,873 (−11) · 137,909 (+25)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34471 · 68942 (half) · 137884
Aliquot sum (sum of proper divisors): 103,420
Factor pairs (a × b = 137,884)
1 × 137884
2 × 68942
4 × 34471
First multiples
137,884 · 275,768 (double) · 413,652 · 551,536 · 689,420 · 827,304 · 965,188 · 1,103,072 · 1,240,956 · 1,378,840

Sums & aliquot sequence

As consecutive integers: 17,232 + 17,233 + … + 17,239
Aliquot sequence: 137,884 103,420 113,804 94,180 115,988 89,644 69,900 133,212 196,404 297,516 396,716 326,944 355,724 273,100 319,744 319,006 159,506 — unresolved within range

Continued fraction of √n

√137,884 = [371; (3, 18, 4, 3, 2, 6, 1, 147, 1, 1, 1, 92, 6, 36, 1, 28, 1, 2, 1, 2, 1, 17, 1, 4, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred eighty-four
Ordinal
137884th
Binary
100001101010011100
Octal
415234
Hexadecimal
0x21A9C
Base64
Ahqc
One's complement
4,294,829,411 (32-bit)
Scientific notation
1.37884 × 10⁵
As a duration
137,884 s = 1 day, 14 hours, 18 minutes, 4 seconds
In other bases
ternary (3) 21000010211
quaternary (4) 201222130
quinary (5) 13403014
senary (6) 2542204
septenary (7) 1112665
nonary (9) 230124
undecimal (11) 9465a
duodecimal (12) 67964
tridecimal (13) 4a9b6
tetradecimal (14) 3836c
pentadecimal (15) 2acc4

As an angle

137,884° = 383 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωπδʹ
Mayan (base 20)
𝋱·𝋤·𝋮·𝋤
Chinese
一十三萬七千八百八十四
Chinese (financial)
壹拾參萬柒仟捌佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٧٨٨٤ Devanagari १३७८८४ Bengali ১৩৭৮৮৪ Tamil ௧௩௭௮௮௪ Thai ๑๓๗๘๘๔ Tibetan ༡༣༧༨༨༤ Khmer ១៣៧៨៨៤ Lao ໑໓໗໘໘໔ Burmese ၁၃၇၈၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137884, here are decompositions:

  • 11 + 137873 = 137884
  • 17 + 137867 = 137884
  • 53 + 137831 = 137884
  • 107 + 137777 = 137884
  • 113 + 137771 = 137884
  • 251 + 137633 = 137884
  • 311 + 137573 = 137884
  • 317 + 137567 = 137884

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪜
CJK Unified Ideograph-21A9C
U+21A9C
Other letter (Lo)

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

Hex color
#021A9C
RGB(2, 26, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.156.

Address
0.2.26.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.156

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 137,884 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