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137,416

137,416 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.).

137,416 (one hundred thirty-seven thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 89 × 193. Written other ways, in hexadecimal, 0x218C8.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
504
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
614,731
Recamán's sequence
a(37,636) = 137,416
Square (n²)
18,883,157,056
Cube (n³)
2,594,847,910,007,296
Divisor count
16
σ(n) — sum of divisors
261,900
φ(n) — Euler's totient
67,584
Sum of prime factors
288

Primality

Prime factorization: 2 3 × 89 × 193

Nearest primes: 137,413 (−3) · 137,437 (+21)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 89 · 178 · 193 · 356 · 386 · 712 · 772 · 1544 · 17177 · 34354 · 68708 (half) · 137416
Aliquot sum (sum of proper divisors): 124,484
Factor pairs (a × b = 137,416)
1 × 137416
2 × 68708
4 × 34354
8 × 17177
89 × 1544
178 × 772
193 × 712
356 × 386
First multiples
137,416 · 274,832 (double) · 412,248 · 549,664 · 687,080 · 824,496 · 961,912 · 1,099,328 · 1,236,744 · 1,374,160

Sums & aliquot sequence

As a sum of two squares: 110² + 354² = 254² + 270²
As consecutive integers: 8,581 + 8,582 + … + 8,596 1,500 + 1,501 + … + 1,588 616 + 617 + … + 808
Aliquot sequence: 137,416 124,484 93,370 74,714 37,360 49,688 43,492 34,124 28,876 21,664 21,050 18,196 13,654 6,830 5,482 2,744 3,256 — unresolved within range

Continued fraction of √n

√137,416 = [370; (1, 2, 3, 2, 1, 2, 9, 1, 12, 1, 1, 2, 1, 3, 2, 8, 1, 2, 2, 9, 1, 6, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand four hundred sixteen
Ordinal
137416th
Binary
100001100011001000
Octal
414310
Hexadecimal
0x218C8
Base64
AhjI
One's complement
4,294,829,879 (32-bit)
Scientific notation
1.37416 × 10⁵
As a duration
137,416 s = 1 day, 14 hours, 10 minutes, 16 seconds
In other bases
ternary (3) 20222111111
quaternary (4) 201203020
quinary (5) 13344131
senary (6) 2540104
septenary (7) 1111426
nonary (9) 228444
undecimal (11) 94274
duodecimal (12) 67634
tridecimal (13) 4a716
tetradecimal (14) 38116
pentadecimal (15) 2aab1

As an angle

137,416° = 381 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυιϛʹ
Mayan (base 20)
𝋱·𝋣·𝋪·𝋰
Chinese
一十三萬七千四百一十六
Chinese (financial)
壹拾參萬柒仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١٣٧٤١٦ Devanagari १३७४१६ Bengali ১৩৭৪১৬ Tamil ௧௩௭௪௧௬ Thai ๑๓๗๔๑๖ Tibetan ༡༣༧༤༡༦ Khmer ១៣៧៤១៦ Lao ໑໓໗໔໑໖ Burmese ၁၃၇၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137416, here are decompositions:

  • 3 + 137413 = 137416
  • 17 + 137399 = 137416
  • 23 + 137393 = 137416
  • 29 + 137387 = 137416
  • 47 + 137369 = 137416
  • 53 + 137363 = 137416
  • 113 + 137303 = 137416
  • 137 + 137279 = 137416

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣈
CJK Unified Ideograph-218C8
U+218C8
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 88 (4 bytes).

Hex color
#0218C8
RGB(2, 24, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.200.

Address
0.2.24.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.200

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 137,416 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading