Live analysis

104,016

104,016 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.).

104,016 (one hundred four thousand sixteen) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 11 × 197. Its proper divisors sum to 190,608, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19650.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

104,004 104,005 104,006 104,007 104,008 104,009 104,010 104,011 104,012 104,013 104,014 104,015 104,016 104,017 104,018 104,019 104,020 104,021 104,022 104,023 104,024 104,025 104,026 104,027 104,028

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 610,401
Recamán's sequence: a(94,071) = 104,016
Square (n²): 10,819,328,256
Cube (n³): 1,125,383,247,876,096
Divisor count: 40
σ(n) — sum of divisors: 294,624
φ(n) — Euler's totient: 31,360
Sum of prime factors: 219

Primality

Prime factorization: 2 ⁴ × 3 × 11 × 197

Nearest primes: 104,009 (−7) · 104,021 (+5)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 33 · 44 · 48 · 66 · 88 · 132 · 176 · 197 · 264 · 394 · 528 · 591 · 788 · 1182 · 1576 · 2167 · 2364 · 3152 · 4334 · 4728 · 6501 · 8668 · 9456 · 13002 · 17336 · 26004 · 34672 · 52008 (half) · 104016

Aliquot sum (sum of proper divisors): 190,608

Factor pairs (a × b = 104,016)

1 × 104016

2 × 52008

3 × 34672

4 × 26004

6 × 17336

8 × 13002

11 × 9456

12 × 8668

16 × 6501

22 × 4728

24 × 4334

33 × 3152

44 × 2364

48 × 2167

66 × 1576

88 × 1182

132 × 788

176 × 591

197 × 528

264 × 394

First multiples

104,016 · 208,032 (double) · 312,048 · 416,064 · 520,080 · 624,096 · 728,112 · 832,128 · 936,144 · 1,040,160

Sums & aliquot sequence

As consecutive integers: 34,671 + 34,672 + 34,673 9,451 + 9,452 + … + 9,461 3,235 + 3,236 + … + 3,266 3,136 + 3,137 + … + 3,168

Aliquot sequence: 104,016 → 190,608 → 376,320 → 1,023,144 → 1,568,856 → 2,391,144 → 4,620,696 → 6,931,104 → 13,099,872 → 21,866,640 → 46,432,560 → 97,509,120 → 219,392,640 → 557,510,760 → 1,254,400,380 → 2,550,614,652 → 4,538,754,180 — unresolved within range

Continued fraction of √n

√104,016 = [322; (1, 1, 16, 25, 1, 2, 1, 5, 1, 9, 4, 2, 2, 3, 1, 18, 1, 3, 2, 2, 4, 9, 1, 5, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand sixteen
Ordinal: 104016th
Binary: 11001011001010000
Octal: 313120
Hexadecimal: 0x19650
Base64: AZZQ
One's complement: 4,294,863,279 (32-bit)
Scientific notation: 1.04016 × 10⁵
As a duration: 104,016 s = 1 day, 4 hours, 53 minutes, 36 seconds

In other bases

ternary (3) 12021200110

quaternary (4) 121121100

quinary (5) 11312031

senary (6) 2121320

septenary (7) 612153

nonary (9) 167613

undecimal (11) 71170

duodecimal (12) 50240

tridecimal (13) 38463

tetradecimal (14) 29c9a

pentadecimal (15) 20c46

As an angle

104,016° = 288 × 360° + 336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδιϛʹ
Mayan (base 20): 𝋭·𝋠·𝋠·𝋰
Chinese: 一十萬四千零一十六
Chinese (financial): 壹拾萬肆仟零壹拾陸

In other modern scripts

Eastern Arabic ١٠٤٠١٦ Devanagari १०४०१६ Bengali ১০৪০১৬ Tamil ௧௦௪௦௧௬ Thai ๑๐๔๐๑๖ Tibetan ༡༠༤༠༡༦ Khmer ១០៤០១៦ Lao ໑໐໔໐໑໖ Burmese ၁၀၄၀၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104016, here are decompositions:

7 + 104009 = 104016
13 + 104003 = 104016
19 + 103997 = 104016
23 + 103993 = 104016
37 + 103979 = 104016
47 + 103969 = 104016
53 + 103963 = 104016
97 + 103919 = 104016

Showing the first eight; more decompositions exist.

Hex color

#019650

RGB(1, 150, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.80.

Address: 0.1.150.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.80

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 104,016 and was likely granted around 1870.

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

Look up US104,016 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 104016 first appears in π at position 135,663 of the decimal expansion (the 135,663ordinal-suffix:rd 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.

Look up 104016 on Pi Search ↗