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137,432

137,432 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.).

137,432 (one hundred thirty-seven thousand four hundred thirty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 41 × 419. Written other ways, in hexadecimal, 0x218D8.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
234,731
Square (n²)
18,887,554,624
Cube (n³)
2,595,754,407,085,568
Divisor count
16
σ(n) — sum of divisors
264,600
φ(n) — Euler's totient
66,880
Sum of prime factors
466

Primality

Prime factorization: 2 3 × 41 × 419

Nearest primes: 137,413 (−19) · 137,437 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 41 · 82 · 164 · 328 · 419 · 838 · 1676 · 3352 · 17179 · 34358 · 68716 (half) · 137432
Aliquot sum (sum of proper divisors): 127,168
Factor pairs (a × b = 137,432)
1 × 137432
2 × 68716
4 × 34358
8 × 17179
41 × 3352
82 × 1676
164 × 838
328 × 419
First multiples
137,432 · 274,864 (double) · 412,296 · 549,728 · 687,160 · 824,592 · 962,024 · 1,099,456 · 1,236,888 · 1,374,320

Sums & aliquot sequence

As consecutive integers: 8,582 + 8,583 + … + 8,597 3,332 + 3,333 + … + 3,372 119 + 120 + … + 537
Aliquot sequence: 137,432 127,168 125,308 93,988 70,498 36,602 18,304 24,536 21,484 17,324 13,924 10,863 5,985 6,495 3,921 1,311 609 — unresolved within range

Continued fraction of √n

√137,432 = [370; (1, 2, 1, 1, 4, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred thirty-two
Ordinal
137432nd
Binary
100001100011011000
Octal
414330
Hexadecimal
0x218D8
Base64
AhjY
One's complement
4,294,829,863 (32-bit)
Scientific notation
1.37432 × 10⁵
As a duration
137,432 s = 1 day, 14 hours, 10 minutes, 32 seconds
In other bases
ternary (3) 20222112002
quaternary (4) 201203120
quinary (5) 13344212
senary (6) 2540132
septenary (7) 1111451
nonary (9) 228462
undecimal (11) 94289
duodecimal (12) 67648
tridecimal (13) 4a729
tetradecimal (14) 38128
pentadecimal (15) 2aac2

As an angle

137,432° = 381 × 360° + 272°
272° ≈ 4.747 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζυλβʹ
Mayan (base 20)
𝋱·𝋣·𝋫·𝋬
Chinese
一十三萬七千四百三十二
Chinese (financial)
壹拾參萬柒仟肆佰參拾貳
In other modern scripts
Eastern Arabic ١٣٧٤٣٢ Devanagari १३७४३२ Bengali ১৩৭৪৩২ Tamil ௧௩௭௪௩௨ Thai ๑๓๗๔๓๒ Tibetan ༡༣༧༤༣༢ Khmer ១៣៧៤៣២ Lao ໑໓໗໔໓໒ Burmese ၁၃၇၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137432, here are decompositions:

  • 19 + 137413 = 137432
  • 73 + 137359 = 137432
  • 79 + 137353 = 137432
  • 181 + 137251 = 137432
  • 193 + 137239 = 137432
  • 223 + 137209 = 137432
  • 241 + 137191 = 137432
  • 313 + 137119 = 137432

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣘
CJK Unified Ideograph-218D8
U+218D8
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 98 (4 bytes).

Hex color
#0218D8
RGB(2, 24, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.216.

Address
0.2.24.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.216

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 137,432 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 137432 first appears in π at position 420,866 of the decimal expansion (the 420,866ordinal-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.