Live analysis

104,100

104,100 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.).

104,100 (one hundred four thousand one hundred) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 347. Its proper divisors sum to 197,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196A4.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

104,088 104,089 104,090 104,091 104,092 104,093 104,094 104,095 104,096 104,097 104,098 104,099 104,100 104,101 104,102 104,103 104,104 104,105 104,106 104,107 104,108 104,109 104,110 104,111 104,112

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Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 1,401
Recamán's sequence: a(93,903) = 104,100
Square (n²): 10,836,810,000
Cube (n³): 1,128,111,921,000,000
Divisor count: 36
σ(n) — sum of divisors: 302,064
φ(n) — Euler's totient: 27,680
Sum of prime factors: 364

Primality

Prime factorization: 2 ² × 3 × 5 ² × 347

Nearest primes: 104,089 (−11) · 104,107 (+7)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 347 · 694 · 1041 · 1388 · 1735 · 2082 · 3470 · 4164 · 5205 · 6940 · 8675 · 10410 · 17350 · 20820 · 26025 · 34700 · 52050 (half) · 104100

Aliquot sum (sum of proper divisors): 197,964

Factor pairs (a × b = 104,100)

1 × 104100

2 × 52050

3 × 34700

4 × 26025

5 × 20820

6 × 17350

10 × 10410

12 × 8675

15 × 6940

20 × 5205

25 × 4164

30 × 3470

50 × 2082

60 × 1735

75 × 1388

100 × 1041

150 × 694

300 × 347

First multiples

104,100 · 208,200 (double) · 312,300 · 416,400 · 520,500 · 624,600 · 728,700 · 832,800 · 936,900 · 1,041,000

Sums & aliquot sequence

As consecutive integers: 34,699 + 34,700 + 34,701 20,818 + 20,819 + 20,820 + 20,821 + 20,822 13,009 + 13,010 + … + 13,016 6,933 + 6,934 + … + 6,947

Aliquot sequence: 104,100 → 197,964 → 371,220 → 717,420 → 1,475,988 → 2,042,604 → 3,253,316 → 2,957,644 → 2,232,660 → 4,089,516 → 5,452,716 → 8,019,204 → 11,296,764 → 17,379,156 → 23,244,364 → 24,545,924 → 23,209,084 — unresolved within range

Continued fraction of √n

√104,100 = [322; (1, 1, 1, 4, 1, 1, 6, 5, 1, 3, 3, 2, 1, 9, 2, 1, 1, 2, 12, 3, 1, 2, 1, 4, …)]

Representations

In words: one hundred four thousand one hundred
Ordinal: 104100th
Binary: 11001011010100100
Octal: 313244
Hexadecimal: 0x196A4
Base64: AZak
One's complement: 4,294,863,195 (32-bit)
Scientific notation: 1.041 × 10⁵
As a duration: 104,100 s = 1 day, 4 hours, 55 minutes

In other bases

ternary (3) 12021210120

quaternary (4) 121122210

quinary (5) 11312400

senary (6) 2121540

septenary (7) 612333

nonary (9) 167716

undecimal (11) 71237

duodecimal (12) 502b0

tridecimal (13) 384c9

tetradecimal (14) 29d1a

pentadecimal (15) 20ca0

As an angle

104,100° = 289 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢
Greek (Milesian): ͵ρδρʹ
Mayan (base 20): 𝋭·𝋠·𝋥·𝋠
Chinese: 一十萬四千一百
Chinese (financial): 壹拾萬肆仟壹佰

In other modern scripts

Eastern Arabic ١٠٤١٠٠ Devanagari १०४१०० Bengali ১০৪১০০ Tamil ௧௦௪௧௦௦ Thai ๑๐๔๑๐๐ Tibetan ༡༠༤༡༠༠ Khmer ១០៤១០០ Lao ໑໐໔໑໐໐ Burmese ၁၀၄၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104100, here are decompositions:

11 + 104089 = 104100
13 + 104087 = 104100
41 + 104059 = 104100
47 + 104053 = 104100
53 + 104047 = 104100
67 + 104033 = 104100
79 + 104021 = 104100
97 + 104003 = 104100

Showing the first eight; more decompositions exist.

Hex color

#0196A4

RGB(1, 150, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.164.

Address: 0.1.150.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.164

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 104,100 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 US104,100 on Google Patents ↗ Look up on USPTO ↗