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137,380

137,380 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.).

137,380 (one hundred thirty-seven thousand three hundred eighty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 6,869. Its proper divisors sum to 151,160, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218A4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
83,731
Recamán's sequence
a(37,564) = 137,380
Square (n²)
18,873,264,400
Cube (n³)
2,592,809,063,272,000
Divisor count
12
σ(n) — sum of divisors
288,540
φ(n) — Euler's totient
54,944
Sum of prime factors
6,878

Primality

Prime factorization: 2 2 × 5 × 6869

Nearest primes: 137,369 (−11) · 137,383 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 6869 · 13738 · 27476 · 34345 · 68690 (half) · 137380
Aliquot sum (sum of proper divisors): 151,160
Factor pairs (a × b = 137,380)
1 × 137380
2 × 68690
4 × 34345
5 × 27476
10 × 13738
20 × 6869
First multiples
137,380 · 274,760 (double) · 412,140 · 549,520 · 686,900 · 824,280 · 961,660 · 1,099,040 · 1,236,420 · 1,373,800

Sums & aliquot sequence

As a sum of two squares: 96² + 358² = 138² + 344²
As consecutive integers: 27,474 + 27,475 + 27,476 + 27,477 + 27,478 17,169 + 17,170 + … + 17,176 3,415 + 3,416 + … + 3,454
Aliquot sequence: 137,380 151,160 189,040 279,680 454,720 848,300 1,104,700 1,292,716 979,316 919,924 689,950 593,450 718,966 359,486 179,746 137,630 110,122 — unresolved within range

Continued fraction of √n

√137,380 = [370; (1, 1, 1, 5, 3, 4, 1, 3, 1, 15, 1, 2, 7, 2, 1, 1, 1, 1, 1, 2, 4, 1, 1, 8, …)]

Representations

In words
one hundred thirty-seven thousand three hundred eighty
Ordinal
137380th
Binary
100001100010100100
Octal
414244
Hexadecimal
0x218A4
Base64
Ahik
One's complement
4,294,829,915 (32-bit)
Scientific notation
1.3738 × 10⁵
As a duration
137,380 s = 1 day, 14 hours, 9 minutes, 40 seconds
In other bases
ternary (3) 20222110011
quaternary (4) 201202210
quinary (5) 13344010
senary (6) 2540004
septenary (7) 1111345
nonary (9) 228404
undecimal (11) 94241
duodecimal (12) 67604
tridecimal (13) 4a6b9
tetradecimal (14) 380cc
pentadecimal (15) 2aa8a

As an angle

137,380° = 381 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζτπʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋠
Chinese
一十三萬七千三百八十
Chinese (financial)
壹拾參萬柒仟參佰捌拾
In other modern scripts
Eastern Arabic ١٣٧٣٨٠ Devanagari १३७३८० Bengali ১৩৭৩৮০ Tamil ௧௩௭௩௮௦ Thai ๑๓๗๓๘๐ Tibetan ༡༣༧༣༨༠ Khmer ១៣៧៣៨០ Lao ໑໓໗໓໘໐ Burmese ၁၃၇၃၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137380, here are decompositions:

  • 11 + 137369 = 137380
  • 17 + 137363 = 137380
  • 41 + 137339 = 137380
  • 59 + 137321 = 137380
  • 101 + 137279 = 137380
  • 107 + 137273 = 137380
  • 179 + 137201 = 137380
  • 197 + 137183 = 137380

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢤
CJK Unified Ideograph-218A4
U+218A4
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 A4 (4 bytes).

Hex color
#0218A4
RGB(2, 24, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.164.

Address
0.2.24.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.164

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 137,380 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 137380 first appears in π at position 945,609 of the decimal expansion (the 945,609ordinal-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