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137,830

137,830 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.).

137,830 (one hundred thirty-seven thousand eight hundred thirty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 11 × 179. Its proper divisors sum to 173,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A66.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
38,731
Recamán's sequence
a(493,167) = 137,830
Square (n²)
18,997,108,900
Cube (n³)
2,618,371,519,687,000
Divisor count
32
σ(n) — sum of divisors
311,040
φ(n) — Euler's totient
42,720
Sum of prime factors
204

Primality

Prime factorization: 2 × 5 × 7 × 11 × 179

Nearest primes: 137,827 (−3) · 137,831 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 11 · 14 · 22 · 35 · 55 · 70 · 77 · 110 · 154 · 179 · 358 · 385 · 770 · 895 · 1253 · 1790 · 1969 · 2506 · 3938 · 6265 · 9845 · 12530 · 13783 · 19690 · 27566 · 68915 (half) · 137830
Aliquot sum (sum of proper divisors): 173,210
Factor pairs (a × b = 137,830)
1 × 137830
2 × 68915
5 × 27566
7 × 19690
10 × 13783
11 × 12530
14 × 9845
22 × 6265
35 × 3938
55 × 2506
70 × 1969
77 × 1790
110 × 1253
154 × 895
179 × 770
358 × 385
First multiples
137,830 · 275,660 (double) · 413,490 · 551,320 · 689,150 · 826,980 · 964,810 · 1,102,640 · 1,240,470 · 1,378,300

Sums & aliquot sequence

As consecutive integers: 34,456 + 34,457 + 34,458 + 34,459 27,564 + 27,565 + 27,566 + 27,567 + 27,568 19,687 + 19,688 + … + 19,693 12,525 + 12,526 + … + 12,535
Aliquot sequence: 137,830 173,210 138,586 111,974 55,990 54,170 43,354 23,066 13,414 7,826 6,958 5,354 2,680 3,440 4,744 4,166 2,086 — unresolved within range

Continued fraction of √n

√137,830 = [371; (3, 1, 12, 1, 3, 742)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred thirty
Ordinal
137830th
Binary
100001101001100110
Octal
415146
Hexadecimal
0x21A66
Base64
Ahpm
One's complement
4,294,829,465 (32-bit)
Scientific notation
1.3783 × 10⁵
As a duration
137,830 s = 1 day, 14 hours, 17 minutes, 10 seconds
In other bases
ternary (3) 21000001211
quaternary (4) 201221212
quinary (5) 13402310
senary (6) 2542034
septenary (7) 1112560
nonary (9) 230054
undecimal (11) 94610
duodecimal (12) 6791a
tridecimal (13) 4a974
tetradecimal (14) 38330
pentadecimal (15) 2ac8a

As an angle

137,830° = 382 × 360° + 310°
310° ≈ 5.411 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλζωλʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋪
Chinese
一十三萬七千八百三十
Chinese (financial)
壹拾參萬柒仟捌佰參拾
In other modern scripts
Eastern Arabic ١٣٧٨٣٠ Devanagari १३७८३० Bengali ১৩৭৮৩০ Tamil ௧௩௭௮௩௦ Thai ๑๓๗๘๓๐ Tibetan ༡༣༧༨༣༠ Khmer ១៣៧៨៣០ Lao ໑໓໗໘໓໐ Burmese ၁၃၇၈၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137830, here are decompositions:

  • 3 + 137827 = 137830
  • 53 + 137777 = 137830
  • 59 + 137771 = 137830
  • 107 + 137723 = 137830
  • 131 + 137699 = 137830
  • 191 + 137639 = 137830
  • 197 + 137633 = 137830
  • 233 + 137597 = 137830

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩦
CJK Unified Ideograph-21A66
U+21A66
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A6 (4 bytes).

Hex color
#021A66
RGB(2, 26, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.102.

Address
0.2.26.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.102

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 137,830 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 137830 first appears in π at position 328,558 of the decimal expansion (the 328,558ordinal-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