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107,416

107,416 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.).

107,416 (one hundred seven thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 463. It is the 463rd triangular number. Written other ways, in hexadecimal, 0x1A398.

Arithmetic Number Deficient Number Evil Number Happy Number Hexagonal Recamán's Sequence Triangular

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
614,701
Recamán's sequence
a(82,887) = 107,416
Square (n²)
11,538,197,056
Cube (n³)
1,239,386,974,967,296
Divisor count
16
σ(n) — sum of divisors
208,800
φ(n) — Euler's totient
51,744
Sum of prime factors
498

Primality

Prime factorization: 2 3 × 29 × 463

Nearest primes: 107,377 (−39) · 107,441 (+25)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 463 · 926 · 1852 · 3704 · 13427 · 26854 · 53708 (half) · 107416
Aliquot sum (sum of proper divisors): 101,384
Factor pairs (a × b = 107,416)
1 × 107416
2 × 53708
4 × 26854
8 × 13427
29 × 3704
58 × 1852
116 × 926
232 × 463
First multiples
107,416 · 214,832 (double) · 322,248 · 429,664 · 537,080 · 644,496 · 751,912 · 859,328 · 966,744 · 1,074,160

Sums & aliquot sequence

As consecutive integers: 6,706 + 6,707 + … + 6,721 3,690 + 3,691 + … + 3,718 1 + 2 + … + 463
Aliquot sequence: 107,416 → 101,384 → 114,616 → 100,304 → 94,066 → 67,214 → 48,034 → 37,214 → 21,106 → 11,258 → 6,970 → 6,638 → 3,322 → 2,150 → 1,942 → 974 → 490 — unresolved within range

Continued fraction of √n

√107,416 = [327; (1, 2, 1, 9, 2, 1, 92, 1, 26, 3, 10, 13, 3, 1, 1, 3, 3, 72, 1, 1, 8, 1, 2, 1, …)]

Representations

In words
one hundred seven thousand four hundred sixteen
Ordinal
107416th
Binary
11010001110011000
Octal
321630
Hexadecimal
0x1A398
Base64
AaOY
One's complement
4,294,859,879 (32-bit)
Scientific notation
1.07416 × 10⁵
As a duration
107,416 s = 1 day, 5 hours, 50 minutes, 16 seconds
In other bases
ternary (3) 12110100101
quaternary (4) 122032120
quinary (5) 11414131
senary (6) 2145144
septenary (7) 625111
nonary (9) 173311
undecimal (11) 73781
duodecimal (12) 521b4
tridecimal (13) 39b7a
tetradecimal (14) 2b208
pentadecimal (15) 21c61

As an angle

107,416° = 298 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζυιϛʹ
Mayan (base 20)
𝋭·𝋨·𝋪·𝋰
Chinese
十萬七千四百一十六
Chinese (financial)
壹拾萬柒仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١٠٧٤١٦ Devanagari १०७४१६ Bengali ১০৭৪১৬ Tamil ௧௦௭௪௧௬ Thai ๑๐๗๔๑๖ Tibetan ༡༠༧༤༡༦ Khmer ១០៧៤១៦ Lao ໑໐໗໔໑໖ Burmese ၁၀၇၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107416, here are decompositions:

  • 59 + 107357 = 107416
  • 107 + 107309 = 107416
  • 137 + 107279 = 107416
  • 173 + 107243 = 107416
  • 233 + 107183 = 107416
  • 293 + 107123 = 107416
  • 317 + 107099 = 107416
  • 347 + 107069 = 107416

Showing the first eight; more decompositions exist.

Hex color
#01A398
RGB(1, 163, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.163.152.

Address
0.1.163.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.163.152

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 107,416 and was likely granted around 1870.

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

Position in π

The digit sequence 107416 first appears in π at position 163,522 of the decimal expansion (the 163,522ordinal-suffix:nd 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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.