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137,468

137,468 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.).

137,468 (one hundred thirty-seven thousand four hundred sixty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 34,367. Written other ways, in hexadecimal, 0x218FC.

Arithmetic Number Cube-Free Deficient Number Odious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
864,731
Square (n²)
18,897,451,024
Cube (n³)
2,597,794,797,367,232
Divisor count
6
σ(n) — sum of divisors
240,576
φ(n) — Euler's totient
68,732
Sum of prime factors
34,371

Primality

Prime factorization: 2 2 × 34367

Nearest primes: 137,453 (−15) · 137,477 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 34367 · 68734 (half) · 137468
Aliquot sum (sum of proper divisors): 103,108
Factor pairs (a × b = 137,468)
1 × 137468
2 × 68734
4 × 34367
First multiples
137,468 · 274,936 (double) · 412,404 · 549,872 · 687,340 · 824,808 · 962,276 · 1,099,744 · 1,237,212 · 1,374,680

Sums & aliquot sequence

As consecutive integers: 17,180 + 17,181 + … + 17,187
Aliquot sequence: 137,468 103,108 79,592 69,658 38,522 28,870 23,114 19,894 16,106 8,056 8,144 7,666 3,836 3,892 3,948 6,804 13,580 — unresolved within range

Continued fraction of √n

√137,468 = [370; (1, 3, 3, 2, 10, 92, 1, 1, 2, 9, 4, 2, 1, 184, 1, 2, 4, 9, 2, 1, 1, 92, 10, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred sixty-eight
Ordinal
137468th
Binary
100001100011111100
Octal
414374
Hexadecimal
0x218FC
Base64
Ahj8
One's complement
4,294,829,827 (32-bit)
Scientific notation
1.37468 × 10⁵
As a duration
137,468 s = 1 day, 14 hours, 11 minutes, 8 seconds
In other bases
ternary (3) 20222120102
quaternary (4) 201203330
quinary (5) 13344333
senary (6) 2540232
septenary (7) 1111532
nonary (9) 228512
undecimal (11) 94311
duodecimal (12) 67678
tridecimal (13) 4a756
tetradecimal (14) 38152
pentadecimal (15) 2aae8

As an angle

137,468° = 381 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυξηʹ
Mayan (base 20)
𝋱·𝋣·𝋭·𝋨
Chinese
一十三萬七千四百六十八
Chinese (financial)
壹拾參萬柒仟肆佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٧٤٦٨ Devanagari १३७४६८ Bengali ১৩৭৪৬৮ Tamil ௧௩௭௪௬௮ Thai ๑๓๗๔๖๘ Tibetan ༡༣༧༤༦༨ Khmer ១៣៧៤៦៨ Lao ໑໓໗໔໖໘ Burmese ၁၃၇၄၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137468, here are decompositions:

  • 31 + 137437 = 137468
  • 109 + 137359 = 137468
  • 127 + 137341 = 137468
  • 229 + 137239 = 137468
  • 271 + 137197 = 137468
  • 277 + 137191 = 137468
  • 337 + 137131 = 137468
  • 349 + 137119 = 137468

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣼
CJK Unified Ideograph-218Fc
U+218FC
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 BC (4 bytes).

Hex color
#0218FC
RGB(2, 24, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.252.

Address
0.2.24.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.252

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 137,468 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 137468 first appears in π at position 490,584 of the decimal expansion (the 490,584ordinal-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.