number.wiki
Live analysis

137,284

137,284 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.).

137,284 (one hundred thirty-seven thousand two hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,903. Its proper divisors sum to 137,340, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21844.

Abundant Number Cube-Free Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
482,731
Recamán's sequence
a(37,372) = 137,284
Square (n²)
18,846,896,656
Cube (n³)
2,587,377,360,522,304
Divisor count
12
σ(n) — sum of divisors
274,624
φ(n) — Euler's totient
58,824
Sum of prime factors
4,914

Primality

Prime factorization: 2 2 × 7 × 4903

Nearest primes: 137,279 (−5) · 137,303 (+19)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4903 · 9806 · 19612 · 34321 · 68642 (half) · 137284
Aliquot sum (sum of proper divisors): 137,340
Factor pairs (a × b = 137,284)
1 × 137284
2 × 68642
4 × 34321
7 × 19612
14 × 9806
28 × 4903
First multiples
137,284 · 274,568 (double) · 411,852 · 549,136 · 686,420 · 823,704 · 960,988 · 1,098,272 · 1,235,556 · 1,372,840

Sums & aliquot sequence

As consecutive integers: 19,609 + 19,610 + … + 19,615 17,157 + 17,158 + … + 17,164 2,424 + 2,425 + … + 2,479
Aliquot sequence: 137,284 137,340 343,140 839,580 1,848,420 4,819,164 8,180,004 13,633,564 15,710,436 31,376,604 53,488,932 89,148,444 178,979,556 313,099,164 591,410,260 835,877,420 1,302,719,572 — unresolved within range

Continued fraction of √n

√137,284 = [370; (1, 1, 12, 1, 36, 7, 1, 15, 1, 28, 1, 2, 2, 1, 12, 1, 3, 2, 2, 5, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand two hundred eighty-four
Ordinal
137284th
Binary
100001100001000100
Octal
414104
Hexadecimal
0x21844
Base64
AhhE
One's complement
4,294,830,011 (32-bit)
Scientific notation
1.37284 × 10⁵
As a duration
137,284 s = 1 day, 14 hours, 8 minutes, 4 seconds
In other bases
ternary (3) 20222022121
quaternary (4) 201201010
quinary (5) 13343114
senary (6) 2535324
septenary (7) 1111150
nonary (9) 228277
undecimal (11) 94164
duodecimal (12) 67544
tridecimal (13) 4a644
tetradecimal (14) 38060
pentadecimal (15) 2aa24

As an angle

137,284° = 381 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσπδʹ
Mayan (base 20)
𝋱·𝋣·𝋤·𝋤
Chinese
一十三萬七千二百八十四
Chinese (financial)
壹拾參萬柒仟貳佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٧٢٨٤ Devanagari १३७२८४ Bengali ১৩৭২৮৪ Tamil ௧௩௭௨௮௪ Thai ๑๓๗๒๘๔ Tibetan ༡༣༧༢༨༤ Khmer ១៣៧២៨៤ Lao ໑໓໗໒໘໔ Burmese ၁၃၇၂၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137284, here are decompositions:

  • 5 + 137279 = 137284
  • 11 + 137273 = 137284
  • 83 + 137201 = 137284
  • 101 + 137183 = 137284
  • 107 + 137177 = 137284
  • 131 + 137153 = 137284
  • 137 + 137147 = 137284
  • 167 + 137117 = 137284

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡄
CJK Unified Ideograph-21844
U+21844
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 84 (4 bytes).

Hex color
#021844
RGB(2, 24, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.68.

Address
0.2.24.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.68

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 137,284 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 137284 first appears in π at position 336,934 of the decimal expansion (the 336,934ordinal-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