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137,828

137,828 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.).

137,828 (one hundred thirty-seven thousand eight hundred twenty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,457. Written other ways, in hexadecimal, 0x21A64.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,688
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
828,731
Recamán's sequence
a(493,171) = 137,828
Square (n²)
18,996,557,584
Cube (n³)
2,618,257,538,687,552
Divisor count
6
σ(n) — sum of divisors
241,206
φ(n) — Euler's totient
68,912
Sum of prime factors
34,461

Primality

Prime factorization: 2 2 × 34457

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

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34457 · 68914 (half) · 137828
Aliquot sum (sum of proper divisors): 103,378
Factor pairs (a × b = 137,828)
1 × 137828
2 × 68914
4 × 34457
First multiples
137,828 · 275,656 (double) · 413,484 · 551,312 · 689,140 · 826,968 · 964,796 · 1,102,624 · 1,240,452 · 1,378,280

Sums & aliquot sequence

As a sum of two squares: 118² + 352²
As consecutive integers: 17,225 + 17,226 + … + 17,232
Aliquot sequence: 137,828 103,378 71,726 35,866 18,854 12,034 7,694 3,850 5,078 2,542 1,490 1,210 1,184 1,210 — enters a cycle

Continued fraction of √n

√137,828 = [371; (3, 1, 31, 1, 1, 7, 6, 1, 4, 6, 2, 1, 2, 1, 5, 13, 1, 5, 17, 10, 8, 1, 5, 1, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred twenty-eight
Ordinal
137828th
Binary
100001101001100100
Octal
415144
Hexadecimal
0x21A64
Base64
Ahpk
One's complement
4,294,829,467 (32-bit)
Scientific notation
1.37828 × 10⁵
As a duration
137,828 s = 1 day, 14 hours, 17 minutes, 8 seconds
In other bases
ternary (3) 21000001202
quaternary (4) 201221210
quinary (5) 13402303
senary (6) 2542032
septenary (7) 1112555
nonary (9) 230052
undecimal (11) 94609
duodecimal (12) 67918
tridecimal (13) 4a972
tetradecimal (14) 3832c
pentadecimal (15) 2ac88

As an angle

137,828° = 382 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωκηʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋨
Chinese
一十三萬七千八百二十八
Chinese (financial)
壹拾參萬柒仟捌佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٧٨٢٨ Devanagari १३७८२८ Bengali ১৩৭৮২৮ Tamil ௧௩௭௮௨௮ Thai ๑๓๗๘๒๘ Tibetan ༡༣༧༨༢༨ Khmer ១៣៧៨២៨ Lao ໑໓໗໘໒໘ Burmese ၁၃၇၈၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137828, here are decompositions:

  • 37 + 137791 = 137828
  • 241 + 137587 = 137828
  • 337 + 137491 = 137828
  • 487 + 137341 = 137828
  • 577 + 137251 = 137828
  • 619 + 137209 = 137828
  • 631 + 137197 = 137828
  • 709 + 137119 = 137828

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩤
CJK Unified Ideograph-21A64
U+21A64
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A4 (4 bytes).

Hex color
#021A64
RGB(2, 26, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.100.

Address
0.2.26.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.100

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 137,828 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 137828 first appears in π at position 294,914 of the decimal expansion (the 294,914ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.