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137,781

137,781 is a composite number, odd.

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.).

137,781 (one hundred thirty-seven thousand seven hundred eighty-one) is an odd 6-digit number. It is a composite number with 20 divisors, and factors as 3⁹ × 7. Written other ways, in hexadecimal, 0x21A35.

Deficient Number Evil Number Frugal Number Harshad / Niven Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
27
Digit product
1,176
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
187,731
Recamán's sequence
a(493,265) = 137,781
Square (n²)
18,983,603,961
Cube (n³)
2,615,579,937,350,541
Divisor count
20
σ(n) — sum of divisors
236,192
φ(n) — Euler's totient
78,732
Sum of prime factors
34

Primality

Prime factorization: 3 9 × 7

Nearest primes: 137,777 (−4) · 137,791 (+10)

Divisors & multiples

All divisors (20)
1 · 3 · 7 · 9 · 21 · 27 · 63 · 81 · 189 · 243 · 567 · 729 · 1701 · 2187 · 5103 · 6561 · 15309 · 19683 · 45927 · 137781
Aliquot sum (sum of proper divisors): 98,411
Factor pairs (a × b = 137,781)
1 × 137781
3 × 45927
7 × 19683
9 × 15309
21 × 6561
27 × 5103
63 × 2187
81 × 1701
189 × 729
243 × 567
First multiples
137,781 · 275,562 (double) · 413,343 · 551,124 · 688,905 · 826,686 · 964,467 · 1,102,248 · 1,240,029 · 1,377,810

Sums & aliquot sequence

As a sum of two cubes: 36³ + 45³
As consecutive integers: 68,890 + 68,891 45,926 + 45,927 + 45,928 22,961 + 22,962 + 22,963 + 22,964 + 22,965 + 22,966 19,680 + 19,681 + … + 19,686
Aliquot sequence: 137,781 98,411 1 0 — terminates at zero

Continued fraction of √n

√137,781 = [371; (5, 3, 3, 7, 8, 4, 1, 8, 2, 1, 3, 2, 4, 11, 1, 1, 3, 1, 3, 2, 1, 8, 2, 8, …)]

Representations

In words
one hundred thirty-seven thousand seven hundred eighty-one
Ordinal
137781st
Binary
100001101000110101
Octal
415065
Hexadecimal
0x21A35
Base64
Aho1
One's complement
4,294,829,514 (32-bit)
Scientific notation
1.37781 × 10⁵
As a duration
137,781 s = 1 day, 14 hours, 16 minutes, 21 seconds
In other bases
ternary (3) 21000000000
quaternary (4) 201220311
quinary (5) 13402111
senary (6) 2541513
septenary (7) 1112460
nonary (9) 230000
undecimal (11) 94576
duodecimal (12) 67899
tridecimal (13) 4a937
tetradecimal (14) 382d7
pentadecimal (15) 2ac56

As an angle

137,781° = 382 × 360° + 261°
261° ≈ 4.555 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζψπαʹ
Mayan (base 20)
𝋱·𝋤·𝋩·𝋡
Chinese
一十三萬七千七百八十一
Chinese (financial)
壹拾參萬柒仟柒佰捌拾壹
In other modern scripts
Eastern Arabic ١٣٧٧٨١ Devanagari १३७७८१ Bengali ১৩৭৭৮১ Tamil ௧௩௭௭௮௧ Thai ๑๓๗๗๘๑ Tibetan ༡༣༧༧༨༡ Khmer ១៣៧៧៨១ Lao ໑໓໗໗໘໑ Burmese ၁၃၇၇၈၁

Also seen as

Unicode codepoint
𡨵
CJK Unified Ideograph-21A35
U+21A35
Other letter (Lo)

UTF-8 encoding: F0 A1 A8 B5 (4 bytes).

Hex color
#021A35
RGB(2, 26, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.53.

Address
0.2.26.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.53

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 137,781 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 137781 first appears in π at position 990,703 of the decimal expansion (the 990,703ordinal-suffix:rd 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°.