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104,120

104,120 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.).

104,120 (one hundred four thousand one hundred twenty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 5 × 19 × 137. Its proper divisors sum to 144,280, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196B8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
21,401
Recamán's sequence
a(93,863) = 104,120
Square (n²)
10,840,974,400
Cube (n³)
1,128,762,254,528,000
Divisor count
32
σ(n) — sum of divisors
248,400
φ(n) — Euler's totient
39,168
Sum of prime factors
167

Primality

Prime factorization: 2 3 × 5 × 19 × 137

Nearest primes: 104,119 (−1) · 104,123 (+3)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 19 · 20 · 38 · 40 · 76 · 95 · 137 · 152 · 190 · 274 · 380 · 548 · 685 · 760 · 1096 · 1370 · 2603 · 2740 · 5206 · 5480 · 10412 · 13015 · 20824 · 26030 · 52060 (half) · 104120
Aliquot sum (sum of proper divisors): 144,280
Factor pairs (a × b = 104,120)
1 × 104120
2 × 52060
4 × 26030
5 × 20824
8 × 13015
10 × 10412
19 × 5480
20 × 5206
38 × 2740
40 × 2603
76 × 1370
95 × 1096
137 × 760
152 × 685
190 × 548
274 × 380
First multiples
104,120 · 208,240 (double) · 312,360 · 416,480 · 520,600 · 624,720 · 728,840 · 832,960 · 937,080 · 1,041,200

Sums & aliquot sequence

As consecutive integers: 20,822 + 20,823 + 20,824 + 20,825 + 20,826 6,500 + 6,501 + … + 6,515 5,471 + 5,472 + … + 5,489 1,262 + 1,263 + … + 1,341
Aliquot sequence: 104,120 144,280 180,440 258,040 322,640 454,840 588,440 768,040 1,368,920 2,151,880 2,902,520 3,685,480 4,666,520 5,833,240 9,407,720 14,784,280 26,050,520 — unresolved within range

Continued fraction of √n

√104,120 = [322; (1, 2, 11, 5, 4, 12, 1, 13, 1, 2, 1, 7, 1, 2, 1, 13, 1, 12, 4, 5, 11, 2, 1, 644)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand one hundred twenty
Ordinal
104120th
Binary
11001011010111000
Octal
313270
Hexadecimal
0x196B8
Base64
AZa4
One's complement
4,294,863,175 (32-bit)
Scientific notation
1.0412 × 10⁵
As a duration
104,120 s = 1 day, 4 hours, 55 minutes, 20 seconds
In other bases
ternary (3) 12021211022
quaternary (4) 121122320
quinary (5) 11312440
senary (6) 2122012
septenary (7) 612362
nonary (9) 167738
undecimal (11) 71255
duodecimal (12) 50308
tridecimal (13) 38513
tetradecimal (14) 29d32
pentadecimal (15) 20cb5

As an angle

104,120° = 289 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓎆
Greek (Milesian)
͵ρδρκʹ
Mayan (base 20)
𝋭·𝋠·𝋦·𝋠
Chinese
一十萬四千一百二十
Chinese (financial)
壹拾萬肆仟壹佰貳拾
In other modern scripts
Eastern Arabic ١٠٤١٢٠ Devanagari १०४१२० Bengali ১০৪১২০ Tamil ௧௦௪௧௨௦ Thai ๑๐๔๑๒๐ Tibetan ༡༠༤༡༢༠ Khmer ១០៤១២០ Lao ໑໐໔໑໒໐ Burmese ၁၀၄၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104120, here are decompositions:

  • 7 + 104113 = 104120
  • 13 + 104107 = 104120
  • 31 + 104089 = 104120
  • 61 + 104059 = 104120
  • 67 + 104053 = 104120
  • 73 + 104047 = 104120
  • 127 + 103993 = 104120
  • 139 + 103981 = 104120

Showing the first eight; more decompositions exist.

Hex color
#0196B8
RGB(1, 150, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.184.

Address
0.1.150.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.184

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 104,120 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 104120 first appears in π at position 584,066 of the decimal expansion (the 584,066ordinal-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.