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137,270

137,270 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.).

137,270 (one hundred thirty-seven thousand two hundred seventy) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 7 × 37 × 53. Its proper divisors sum to 158,218, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21836.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Pronic / Oblong Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
72,731
Recamán's sequence
a(37,344) = 137,270
Square (n²)
18,843,052,900
Cube (n³)
2,586,585,871,583,000
Divisor count
32
σ(n) — sum of divisors
295,488
φ(n) — Euler's totient
44,928
Sum of prime factors
104

Primality

Prime factorization: 2 × 5 × 7 × 37 × 53

Nearest primes: 137,251 (−19) · 137,273 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 37 · 53 · 70 · 74 · 106 · 185 · 259 · 265 · 370 · 371 · 518 · 530 · 742 · 1295 · 1855 · 1961 · 2590 · 3710 · 3922 · 9805 · 13727 · 19610 · 27454 · 68635 (half) · 137270
Aliquot sum (sum of proper divisors): 158,218
Factor pairs (a × b = 137,270)
1 × 137270
2 × 68635
5 × 27454
7 × 19610
10 × 13727
14 × 9805
35 × 3922
37 × 3710
53 × 2590
70 × 1961
74 × 1855
106 × 1295
185 × 742
259 × 530
265 × 518
370 × 371
First multiples
137,270 · 274,540 (double) · 411,810 · 549,080 · 686,350 · 823,620 · 960,890 · 1,098,160 · 1,235,430 · 1,372,700

Sums & aliquot sequence

As consecutive integers: 34,316 + 34,317 + 34,318 + 34,319 27,452 + 27,453 + 27,454 + 27,455 + 27,456 19,607 + 19,608 + … + 19,613 6,854 + 6,855 + … + 6,873
Aliquot sequence: 137,270 158,218 80,822 64,330 68,150 65,770 52,634 26,320 45,104 42,316 33,284 26,440 33,140 36,496 34,246 17,126 8,566 — unresolved within range

Continued fraction of √n

√137,270 = [370; (2, 740)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand two hundred seventy
Ordinal
137270th
Binary
100001100000110110
Octal
414066
Hexadecimal
0x21836
Base64
Ahg2
One's complement
4,294,830,025 (32-bit)
Scientific notation
1.3727 × 10⁵
As a duration
137,270 s = 1 day, 14 hours, 7 minutes, 50 seconds
In other bases
ternary (3) 20222022002
quaternary (4) 201200312
quinary (5) 13343040
senary (6) 2535302
septenary (7) 1111130
nonary (9) 228262
undecimal (11) 94151
duodecimal (12) 67532
tridecimal (13) 4a633
tetradecimal (14) 38050
pentadecimal (15) 2aa15

As an angle

137,270° = 381 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζσοʹ
Mayan (base 20)
𝋱·𝋣·𝋣·𝋪
Chinese
一十三萬七千二百七十
Chinese (financial)
壹拾參萬柒仟貳佰柒拾
In other modern scripts
Eastern Arabic ١٣٧٢٧٠ Devanagari १३७२७० Bengali ১৩৭২৭০ Tamil ௧௩௭௨௭௦ Thai ๑๓๗๒๗๐ Tibetan ༡༣༧༢༧༠ Khmer ១៣៧២៧០ Lao ໑໓໗໒໗໐ Burmese ၁၃၇၂၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137270, here are decompositions:

  • 19 + 137251 = 137270
  • 31 + 137239 = 137270
  • 61 + 137209 = 137270
  • 73 + 137197 = 137270
  • 79 + 137191 = 137270
  • 127 + 137143 = 137270
  • 139 + 137131 = 137270
  • 151 + 137119 = 137270

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠶
CJK Unified Ideograph-21836
U+21836
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 B6 (4 bytes).

Hex color
#021836
RGB(2, 24, 54)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.54.

Address
0.2.24.54
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.54

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 137,270 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 137270 first appears in π at position 183,163 of the decimal expansion (the 183,163ordinal-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

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