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137,462

137,462 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.).

137,462 (one hundred thirty-seven thousand four hundred sixty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 17 × 311. Written other ways, in hexadecimal, 0x218F6.

Arithmetic Number Cube-Free Deficient Number Odious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
264,731
Square (n²)
18,895,801,444
Cube (n³)
2,597,454,658,095,128
Divisor count
16
σ(n) — sum of divisors
235,872
φ(n) — Euler's totient
59,520
Sum of prime factors
343

Primality

Prime factorization: 2 × 13 × 17 × 311

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

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 17 · 26 · 34 · 221 · 311 · 442 · 622 · 4043 · 5287 · 8086 · 10574 · 68731 (half) · 137462
Aliquot sum (sum of proper divisors): 98,410
Factor pairs (a × b = 137,462)
1 × 137462
2 × 68731
13 × 10574
17 × 8086
26 × 5287
34 × 4043
221 × 622
311 × 442
First multiples
137,462 · 274,924 (double) · 412,386 · 549,848 · 687,310 · 824,772 · 962,234 · 1,099,696 · 1,237,158 · 1,374,620

Sums & aliquot sequence

As consecutive integers: 34,364 + 34,365 + 34,366 + 34,367 10,568 + 10,569 + … + 10,580 8,078 + 8,079 + … + 8,094 2,618 + 2,619 + … + 2,669
Aliquot sequence: 137,462 98,410 92,606 53,674 28,694 14,350 16,898 14,206 7,106 5,854 2,930 2,362 1,184 1,210 1,184 — enters a cycle

Continued fraction of √n

√137,462 = [370; (1, 3, 6, 1, 18, 1, 1, 1, 6, 1, 2, 7, 1, 1, 5, 1, 3, 28, 3, 1, 5, 1, 1, 7, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred sixty-two
Ordinal
137462nd
Binary
100001100011110110
Octal
414366
Hexadecimal
0x218F6
Base64
Ahj2
One's complement
4,294,829,833 (32-bit)
Scientific notation
1.37462 × 10⁵
As a duration
137,462 s = 1 day, 14 hours, 11 minutes, 2 seconds
In other bases
ternary (3) 20222120012
quaternary (4) 201203312
quinary (5) 13344322
senary (6) 2540222
septenary (7) 1111523
nonary (9) 228505
undecimal (11) 94306
duodecimal (12) 67672
tridecimal (13) 4a750
tetradecimal (14) 3814a
pentadecimal (15) 2aae2

As an angle

137,462° = 381 × 360° + 302°
302° ≈ 5.271 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζυξβʹ
Mayan (base 20)
𝋱·𝋣·𝋭·𝋢
Chinese
一十三萬七千四百六十二
Chinese (financial)
壹拾參萬柒仟肆佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٧٤٦٢ Devanagari १३७४६२ Bengali ১৩৭৪৬২ Tamil ௧௩௭௪௬௨ Thai ๑๓๗๔๖๒ Tibetan ༡༣༧༤༦༢ Khmer ១៣៧៤៦២ Lao ໑໓໗໔໖໒ Burmese ၁၃၇၄၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137462, here are decompositions:

  • 19 + 137443 = 137462
  • 79 + 137383 = 137462
  • 103 + 137359 = 137462
  • 109 + 137353 = 137462
  • 211 + 137251 = 137462
  • 223 + 137239 = 137462
  • 271 + 137191 = 137462
  • 331 + 137131 = 137462

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣶
CJK Unified Ideograph-218F6
U+218F6
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 B6 (4 bytes).

Hex color
#0218F6
RGB(2, 24, 246)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.246.

Address
0.2.24.246
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.246

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 137,462 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 137462 first appears in π at position 59,030 of the decimal expansion (the 59,030ordinal-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.