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121,904

121,904 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.).

121,904 (one hundred twenty-one thousand nine hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 401. Its proper divisors sum to 127,336, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DC30.

Abundant Number Arithmetic Number Evil Number Happy Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
409,121
Square (n²)
14,860,585,216
Cube (n³)
1,811,564,780,171,264
Divisor count
20
σ(n) — sum of divisors
249,240
φ(n) — Euler's totient
57,600
Sum of prime factors
428

Primality

Prime factorization: 2 4 × 19 × 401

Nearest primes: 121,889 (−15) · 121,909 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 401 · 802 · 1604 · 3208 · 6416 · 7619 · 15238 · 30476 · 60952 (half) · 121904
Aliquot sum (sum of proper divisors): 127,336
Factor pairs (a × b = 121,904)
1 × 121904
2 × 60952
4 × 30476
8 × 15238
16 × 7619
19 × 6416
38 × 3208
76 × 1604
152 × 802
304 × 401
First multiples
121,904 · 243,808 (double) · 365,712 · 487,616 · 609,520 · 731,424 · 853,328 · 975,232 · 1,097,136 · 1,219,040

Sums & aliquot sequence

As consecutive integers: 6,407 + 6,408 + … + 6,425 3,794 + 3,795 + … + 3,825 104 + 105 + … + 504
Aliquot sequence: 121,904 127,336 133,304 130,096 128,816 126,376 110,594 72,148 61,664 65,344 64,450 55,520 76,024 90,296 79,024 88,376 77,344 — unresolved within range

Continued fraction of √n

√121,904 = [349; (6, 1, 3, 1, 1, 34, 2, 1, 3, 1, 21, 27, 1, 7, 1, 3, 4, 9, 3, 43, 3, 9, 4, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand nine hundred four
Ordinal
121904th
Binary
11101110000110000
Octal
356060
Hexadecimal
0x1DC30
Base64
Adww
One's complement
4,294,845,391 (32-bit)
Scientific notation
1.21904 × 10⁵
As a duration
121,904 s = 1 day, 9 hours, 51 minutes, 44 seconds
In other bases
ternary (3) 20012012222
quaternary (4) 131300300
quinary (5) 12400104
senary (6) 2340212
septenary (7) 1015256
nonary (9) 205188
undecimal (11) 83652
duodecimal (12) 5a668
tridecimal (13) 43643
tetradecimal (14) 325d6
pentadecimal (15) 261be

As an angle

121,904° = 338 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαϡδʹ
Mayan (base 20)
𝋯·𝋤·𝋯·𝋤
Chinese
一十二萬一千九百零四
Chinese (financial)
壹拾貳萬壹仟玖佰零肆
In other modern scripts
Eastern Arabic ١٢١٩٠٤ Devanagari १२१९०४ Bengali ১২১৯০৪ Tamil ௧௨௧௯௦௪ Thai ๑๒๑๙๐๔ Tibetan ༡༢༡༩༠༤ Khmer ១២១៩០៤ Lao ໑໒໑໙໐໔ Burmese ၁၂၁၉၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121904, here are decompositions:

  • 37 + 121867 = 121904
  • 61 + 121843 = 121904
  • 193 + 121711 = 121904
  • 271 + 121633 = 121904
  • 283 + 121621 = 121904
  • 313 + 121591 = 121904
  • 373 + 121531 = 121904
  • 397 + 121507 = 121904

Showing the first eight; more decompositions exist.

Hex color
#01DC30
RGB(1, 220, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.48.

Address
0.1.220.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.48

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 121,904 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.