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137,288

137,288 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.).

137,288 (one hundred thirty-seven thousand two hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2³ × 131². Written other ways, in hexadecimal, 0x21848.

Achilles Number Deficient Number Odious Number Pernicious Number Powerful 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
882,731
Recamán's sequence
a(37,380) = 137,288
Square (n²)
18,847,994,944
Cube (n³)
2,587,603,529,871,872
Divisor count
12
σ(n) — sum of divisors
259,395
φ(n) — Euler's totient
68,120
Sum of prime factors
268

Primality

Prime factorization: 2 3 × 131 2

Nearest primes: 137,279 (−9) · 137,303 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 131 · 262 · 524 · 1048 · 17161 · 34322 · 68644 (half) · 137288
Aliquot sum (sum of proper divisors): 122,107
Factor pairs (a × b = 137,288)
1 × 137288
2 × 68644
4 × 34322
8 × 17161
131 × 1048
262 × 524
First multiples
137,288 · 274,576 (double) · 411,864 · 549,152 · 686,440 · 823,728 · 961,016 · 1,098,304 · 1,235,592 · 1,372,880

Sums & aliquot sequence

As a sum of two squares: 262² + 262²
As consecutive integers: 8,573 + 8,574 + … + 8,588 983 + 984 + … + 1,113
Aliquot sequence: 137,288 122,107 5,333 1 0 — terminates at zero

Continued fraction of √n

√137,288 = [370; (1, 1, 9, 1, 14, 1, 6, 3, 1, 7, 1, 1, 3, 5, 6, 26, 3, 3, 1, 1, 23, 2, 1, 17, …)]

Representations

In words
one hundred thirty-seven thousand two hundred eighty-eight
Ordinal
137288th
Binary
100001100001001000
Octal
414110
Hexadecimal
0x21848
Base64
AhhI
One's complement
4,294,830,007 (32-bit)
Scientific notation
1.37288 × 10⁵
As a duration
137,288 s = 1 day, 14 hours, 8 minutes, 8 seconds
In other bases
ternary (3) 20222022202
quaternary (4) 201201020
quinary (5) 13343123
senary (6) 2535332
septenary (7) 1111154
nonary (9) 228282
undecimal (11) 94168
duodecimal (12) 67548
tridecimal (13) 4a648
tetradecimal (14) 38064
pentadecimal (15) 2aa28
Palindromic in base 3

As an angle

137,288° = 381 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσπηʹ
Mayan (base 20)
𝋱·𝋣·𝋤·𝋨
Chinese
一十三萬七千二百八十八
Chinese (financial)
壹拾參萬柒仟貳佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٧٢٨٨ Devanagari १३७२८८ Bengali ১৩৭২৮৮ Tamil ௧௩௭௨௮௮ Thai ๑๓๗๒๘๘ Tibetan ༡༣༧༢༨༨ Khmer ១៣៧២៨៨ Lao ໑໓໗໒໘໘ Burmese ၁၃၇၂၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137288, here are decompositions:

  • 37 + 137251 = 137288
  • 79 + 137209 = 137288
  • 97 + 137191 = 137288
  • 157 + 137131 = 137288
  • 199 + 137089 = 137288
  • 211 + 137077 = 137288
  • 337 + 136951 = 137288
  • 409 + 136879 = 137288

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡈
CJK Unified Ideograph-21848
U+21848
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 88 (4 bytes).

Hex color
#021848
RGB(2, 24, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.72.

Address
0.2.24.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.72

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 137,288 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 137288 first appears in π at position 587,410 of the decimal expansion (the 587,410ordinal-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.