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137,826

137,826 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.).

137,826 (one hundred thirty-seven thousand eight hundred twenty-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 3² × 13 × 19 × 31. Its proper divisors sum to 211,614, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A62.

Abundant Number Arithmetic Number Cube-Free Decagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
628,731
Recamán's sequence
a(493,175) = 137,826
Square (n²)
18,996,006,276
Cube (n³)
2,618,143,560,995,976
Divisor count
48
σ(n) — sum of divisors
349,440
φ(n) — Euler's totient
38,880
Sum of prime factors
71

Primality

Prime factorization: 2 × 3 2 × 13 × 19 × 31

Nearest primes: 137,803 (−23) · 137,827 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 19 · 26 · 31 · 38 · 39 · 57 · 62 · 78 · 93 · 114 · 117 · 171 · 186 · 234 · 247 · 279 · 342 · 403 · 494 · 558 · 589 · 741 · 806 · 1178 · 1209 · 1482 · 1767 · 2223 · 2418 · 3534 · 3627 · 4446 · 5301 · 7254 · 7657 · 10602 · 15314 · 22971 · 45942 · 68913 (half) · 137826
Aliquot sum (sum of proper divisors): 211,614
Factor pairs (a × b = 137,826)
1 × 137826
2 × 68913
3 × 45942
6 × 22971
9 × 15314
13 × 10602
18 × 7657
19 × 7254
26 × 5301
31 × 4446
38 × 3627
39 × 3534
57 × 2418
62 × 2223
78 × 1767
93 × 1482
114 × 1209
117 × 1178
171 × 806
186 × 741
234 × 589
247 × 558
279 × 494
342 × 403
First multiples
137,826 · 275,652 (double) · 413,478 · 551,304 · 689,130 · 826,956 · 964,782 · 1,102,608 · 1,240,434 · 1,378,260

Sums & aliquot sequence

As consecutive integers: 45,941 + 45,942 + 45,943 34,455 + 34,456 + 34,457 + 34,458 15,310 + 15,311 + … + 15,318 11,480 + 11,481 + … + 11,491
Aliquot sequence: 137,826 211,614 244,338 249,198 261,858 289,662 315,138 327,678 378,258 411,438 429,522 480,270 837,618 851,502 851,514 865,446 865,458 — unresolved within range

Continued fraction of √n

√137,826 = [371; (4, 82, 4, 742)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred twenty-six
Ordinal
137826th
Binary
100001101001100010
Octal
415142
Hexadecimal
0x21A62
Base64
Ahpi
One's complement
4,294,829,469 (32-bit)
Scientific notation
1.37826 × 10⁵
As a duration
137,826 s = 1 day, 14 hours, 17 minutes, 6 seconds
In other bases
ternary (3) 21000001200
quaternary (4) 201221202
quinary (5) 13402301
senary (6) 2542030
septenary (7) 1112553
nonary (9) 230050
undecimal (11) 94607
duodecimal (12) 67916
tridecimal (13) 4a970
tetradecimal (14) 3832a
pentadecimal (15) 2ac86

As an angle

137,826° = 382 × 360° + 306°
306° ≈ 5.341 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωκϛʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋦
Chinese
一十三萬七千八百二十六
Chinese (financial)
壹拾參萬柒仟捌佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٧٨٢٦ Devanagari १३७८२६ Bengali ১৩৭৮২৬ Tamil ௧௩௭௮௨௬ Thai ๑๓๗๘๒๖ Tibetan ༡༣༧༨༢༦ Khmer ១៣៧៨២៦ Lao ໑໓໗໘໒໖ Burmese ၁၃၇၈၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137826, here are decompositions:

  • 23 + 137803 = 137826
  • 83 + 137743 = 137826
  • 89 + 137737 = 137826
  • 103 + 137723 = 137826
  • 113 + 137713 = 137826
  • 127 + 137699 = 137826
  • 167 + 137659 = 137826
  • 173 + 137653 = 137826

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩢
CJK Unified Ideograph-21A62
U+21A62
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A2 (4 bytes).

Hex color
#021A62
RGB(2, 26, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.98.

Address
0.2.26.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.98

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 137,826 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 137826 first appears in π at position 225,142 of the decimal expansion (the 225,142ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.