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137,782

137,782 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.).

137,782 (one hundred thirty-seven thousand seven hundred eighty-two) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,891. Written other ways, in hexadecimal, 0x21A36.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
2,352
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
287,731
Recamán's sequence
a(493,263) = 137,782
Square (n²)
18,983,879,524
Cube (n³)
2,615,636,888,575,768
Divisor count
4
σ(n) — sum of divisors
206,676
φ(n) — Euler's totient
68,890
Sum of prime factors
68,893

Primality

Prime factorization: 2 × 68891

Nearest primes: 137,777 (−5) · 137,791 (+9)

Divisors & multiples

All divisors (4)
1 · 2 · 68891 (half) · 137782
Aliquot sum (sum of proper divisors): 68,894
Factor pairs (a × b = 137,782)
1 × 137782
2 × 68891
First multiples
137,782 · 275,564 (double) · 413,346 · 551,128 · 688,910 · 826,692 · 964,474 · 1,102,256 · 1,240,038 · 1,377,820

Sums & aliquot sequence

As consecutive integers: 34,444 + 34,445 + 34,446 + 34,447
Aliquot sequence: 137,782 68,894 61,066 35,414 17,710 23,762 12,211 1 0 — terminates at zero

Continued fraction of √n

√137,782 = [371; (5, 3, 1, 3, 1, 3, 1, 4, 1, 1, 2, 3, 35, 17, 1, 1, 1, 5, 10, 1, 1, 2, 1, 1, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand seven hundred eighty-two
Ordinal
137782nd
Binary
100001101000110110
Octal
415066
Hexadecimal
0x21A36
Base64
Aho2
One's complement
4,294,829,513 (32-bit)
Scientific notation
1.37782 × 10⁵
As a duration
137,782 s = 1 day, 14 hours, 16 minutes, 22 seconds
In other bases
ternary (3) 21000000001
quaternary (4) 201220312
quinary (5) 13402112
senary (6) 2541514
septenary (7) 1112461
nonary (9) 230001
undecimal (11) 94577
duodecimal (12) 6789a
tridecimal (13) 4a938
tetradecimal (14) 382d8
pentadecimal (15) 2ac57

As an angle

137,782° = 382 × 360° + 262°
262° ≈ 4.573 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζψπβʹ
Mayan (base 20)
𝋱·𝋤·𝋩·𝋢
Chinese
一十三萬七千七百八十二
Chinese (financial)
壹拾參萬柒仟柒佰捌拾貳
In other modern scripts
Eastern Arabic ١٣٧٧٨٢ Devanagari १३७७८२ Bengali ১৩৭৭৮২ Tamil ௧௩௭௭௮௨ Thai ๑๓๗๗๘๒ Tibetan ༡༣༧༧༨༢ Khmer ១៣៧៧៨២ Lao ໑໓໗໗໘໒ Burmese ၁၃၇၇၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137782, here are decompositions:

  • 5 + 137777 = 137782
  • 11 + 137771 = 137782
  • 59 + 137723 = 137782
  • 83 + 137699 = 137782
  • 149 + 137633 = 137782
  • 263 + 137519 = 137782
  • 383 + 137399 = 137782
  • 389 + 137393 = 137782

Showing the first eight; more decompositions exist.

Unicode codepoint
𡨶
CJK Unified Ideograph-21A36
U+21A36
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 B6 (4 bytes).

Hex color
#021A36
RGB(2, 26, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.54.

Address
0.2.26.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.54

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 137,782 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 137782 first appears in π at position 179,474 of the decimal expansion (the 179,474ordinal-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