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137,248

137,248 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.).

137,248 (one hundred thirty-seven thousand two hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,289. Written other ways, in hexadecimal, 0x21820.

Deficient Number Evil 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
842,731
Square (n²)
18,837,013,504
Cube (n³)
2,585,342,429,396,992
Divisor count
12
σ(n) — sum of divisors
270,270
φ(n) — Euler's totient
68,608
Sum of prime factors
4,299

Primality

Prime factorization: 2 5 × 4289

Nearest primes: 137,239 (−9) · 137,251 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4289 · 8578 · 17156 · 34312 · 68624 (half) · 137248
Aliquot sum (sum of proper divisors): 133,022
Factor pairs (a × b = 137,248)
1 × 137248
2 × 68624
4 × 34312
8 × 17156
16 × 8578
32 × 4289
First multiples
137,248 · 274,496 (double) · 411,744 · 548,992 · 686,240 · 823,488 · 960,736 · 1,097,984 · 1,235,232 · 1,372,480

Sums & aliquot sequence

As a sum of two squares: 228² + 292²
As consecutive integers: 2,113 + 2,114 + … + 2,176
Aliquot sequence: 137,248 133,022 68,074 35,354 22,534 13,106 6,556 6,044 4,540 5,036 3,784 4,136 4,504 3,956 3,436 2,584 2,816 — unresolved within range

Continued fraction of √n

√137,248 = [370; (2, 7, 1, 4, 1, 2, 1, 2, 1, 1, 22, 1, 1, 2, 1, 2, 1, 4, 1, 7, 2, 740)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand two hundred forty-eight
Ordinal
137248th
Binary
100001100000100000
Octal
414040
Hexadecimal
0x21820
Base64
Ahgg
One's complement
4,294,830,047 (32-bit)
Scientific notation
1.37248 × 10⁵
As a duration
137,248 s = 1 day, 14 hours, 7 minutes, 28 seconds
In other bases
ternary (3) 20222021021
quaternary (4) 201200200
quinary (5) 13342443
senary (6) 2535224
septenary (7) 1111066
nonary (9) 228237
undecimal (11) 94131
duodecimal (12) 67514
tridecimal (13) 4a617
tetradecimal (14) 38036
pentadecimal (15) 2a9ed

As an angle

137,248° = 381 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσμηʹ
Mayan (base 20)
𝋱·𝋣·𝋢·𝋨
Chinese
一十三萬七千二百四十八
Chinese (financial)
壹拾參萬柒仟貳佰肆拾捌
In other modern scripts
Eastern Arabic ١٣٧٢٤٨ Devanagari १३७२४८ Bengali ১৩৭২৪৮ Tamil ௧௩௭௨௪௮ Thai ๑๓๗๒๔๘ Tibetan ༡༣༧༢༤༨ Khmer ១៣៧២៤៨ Lao ໑໓໗໒໔໘ Burmese ၁၃၇၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137248, here are decompositions:

  • 29 + 137219 = 137248
  • 47 + 137201 = 137248
  • 71 + 137177 = 137248
  • 101 + 137147 = 137248
  • 131 + 137117 = 137248
  • 257 + 136991 = 137248
  • 269 + 136979 = 137248
  • 359 + 136889 = 137248

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠠
CJK Unified Ideograph-21820
U+21820
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 A0 (4 bytes).

Hex color
#021820
RGB(2, 24, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.32.

Address
0.2.24.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.32

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 137,248 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