number.wiki
Live analysis

121,404

121,404 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.).

121,404 (one hundred twenty-one thousand four hundred four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 67 × 151. Its proper divisors sum to 168,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA3C.

Abundant Number Cube-Free Evil Number Harshad / Niven Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
404,121
Square (n²)
14,738,931,216
Cube (n³)
1,789,365,205,347,264
Divisor count
24
σ(n) — sum of divisors
289,408
φ(n) — Euler's totient
39,600
Sum of prime factors
225

Primality

Prime factorization: 2 2 × 3 × 67 × 151

Nearest primes: 121,403 (−1) · 121,421 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 67 · 134 · 151 · 201 · 268 · 302 · 402 · 453 · 604 · 804 · 906 · 1812 · 10117 · 20234 · 30351 · 40468 · 60702 (half) · 121404
Aliquot sum (sum of proper divisors): 168,004
Factor pairs (a × b = 121,404)
1 × 121404
2 × 60702
3 × 40468
4 × 30351
6 × 20234
12 × 10117
67 × 1812
134 × 906
151 × 804
201 × 604
268 × 453
302 × 402
First multiples
121,404 · 242,808 (double) · 364,212 · 485,616 · 607,020 · 728,424 · 849,828 · 971,232 · 1,092,636 · 1,214,040

Sums & aliquot sequence

As consecutive integers: 40,467 + 40,468 + 40,469 15,172 + 15,173 + … + 15,179 5,047 + 5,048 + … + 5,070 1,779 + 1,780 + … + 1,845
Aliquot sequence: 121,404 168,004 129,720 285,000 652,200 1,371,480 3,121,320 7,009,080 15,640,680 40,061,400 89,573,160 182,198,040 365,461,320 893,812,920 2,774,178,120 7,502,894,520 17,052,037,320 — keeps growing

Continued fraction of √n

√121,404 = [348; (2, 3, 9, 174, 9, 3, 2, 696)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred four
Ordinal
121404th
Binary
11101101000111100
Octal
355074
Hexadecimal
0x1DA3C
Base64
Ado8
One's complement
4,294,845,891 (32-bit)
Scientific notation
1.21404 × 10⁵
As a duration
121,404 s = 1 day, 9 hours, 43 minutes, 24 seconds
In other bases
ternary (3) 20011112110
quaternary (4) 131220330
quinary (5) 12341104
senary (6) 2334020
septenary (7) 1013643
nonary (9) 204473
undecimal (11) 83238
duodecimal (12) 5a310
tridecimal (13) 4334a
tetradecimal (14) 3235a
pentadecimal (15) 25e89
Palindromic in base 11

As an angle

121,404° = 337 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαυδʹ
Mayan (base 20)
𝋯·𝋣·𝋪·𝋤
Chinese
一十二萬一千四百零四
Chinese (financial)
壹拾貳萬壹仟肆佰零肆
In other modern scripts
Eastern Arabic ١٢١٤٠٤ Devanagari १२१४०४ Bengali ১২১৪০৪ Tamil ௧௨௧௪௦௪ Thai ๑๒๑๔๐๔ Tibetan ༡༢༡༤༠༤ Khmer ១២១៤០៤ Lao ໑໒໑໔໐໔ Burmese ၁၂၁၄၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121404, here are decompositions:

  • 37 + 121367 = 121404
  • 47 + 121357 = 121404
  • 53 + 121351 = 121404
  • 61 + 121343 = 121404
  • 71 + 121333 = 121404
  • 83 + 121321 = 121404
  • 113 + 121291 = 121404
  • 137 + 121267 = 121404

Showing the first eight; more decompositions exist.

Unicode codepoint
𝨼
Signwriting Mouth Closed Forward
U+1DA3C
Non-spacing mark (Mn)

UTF-8 encoding: F0 9D A8 BC (4 bytes).

Hex color
#01DA3C
RGB(1, 218, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.60.

Address
0.1.218.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.60

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 121,404 and was likely granted around 1871.

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

Position in π

The digit sequence 121404 first appears in π at position 890,047 of the decimal expansion (the 890,047ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.