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121,472

121,472 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.).

121,472 (one hundred twenty-one thousand four hundred seventy-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 13 × 73. Its proper divisors sum to 142,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DA80.

Abundant Number Odious Number Pernicious Number Practical Number Refactorable Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
112
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
274,121
Square (n²)
14,755,446,784
Cube (n³)
1,792,373,631,746,048
Divisor count
32
σ(n) — sum of divisors
264,180
φ(n) — Euler's totient
55,296
Sum of prime factors
100

Primality

Prime factorization: 2 7 × 13 × 73

Nearest primes: 121,469 (−3) · 121,487 (+15)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 64 · 73 · 104 · 128 · 146 · 208 · 292 · 416 · 584 · 832 · 949 · 1168 · 1664 · 1898 · 2336 · 3796 · 4672 · 7592 · 9344 · 15184 · 30368 · 60736 (half) · 121472
Aliquot sum (sum of proper divisors): 142,708
Factor pairs (a × b = 121,472)
1 × 121472
2 × 60736
4 × 30368
8 × 15184
13 × 9344
16 × 7592
26 × 4672
32 × 3796
52 × 2336
64 × 1898
73 × 1664
104 × 1168
128 × 949
146 × 832
208 × 584
292 × 416
First multiples
121,472 · 242,944 (double) · 364,416 · 485,888 · 607,360 · 728,832 · 850,304 · 971,776 · 1,093,248 · 1,214,720

Sums & aliquot sequence

As a sum of two squares: 56² + 344² = 184² + 296²
As consecutive integers: 9,338 + 9,339 + … + 9,350 1,628 + 1,629 + … + 1,700 347 + 348 + … + 602
Aliquot sequence: 121,472 142,708 107,038 55,322 28,678 17,690 15,790 12,650 14,134 7,754 3,880 4,940 6,820 9,308 8,332 6,256 7,136 — unresolved within range

Continued fraction of √n

√121,472 = [348; (1, 1, 8, 3, 10, 1, 1, 3, 30, 43, 1, 1, 7, 14, 10, 1, 4, 1, 1, 2, 1, 1, 1, 173, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand four hundred seventy-two
Ordinal
121472nd
Binary
11101101010000000
Octal
355200
Hexadecimal
0x1DA80
Base64
AdqA
One's complement
4,294,845,823 (32-bit)
Scientific notation
1.21472 × 10⁵
As a duration
121,472 s = 1 day, 9 hours, 44 minutes, 32 seconds
In other bases
ternary (3) 20011121222
quaternary (4) 131222000
quinary (5) 12341342
senary (6) 2334212
septenary (7) 1014101
nonary (9) 204558
undecimal (11) 8329a
duodecimal (12) 5a368
tridecimal (13) 433a0
tetradecimal (14) 323a8
pentadecimal (15) 25ed2
Palindromic in base 7

As an angle

121,472° = 337 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκαυοβʹ
Mayan (base 20)
𝋯·𝋣·𝋭·𝋬
Chinese
一十二萬一千四百七十二
Chinese (financial)
壹拾貳萬壹仟肆佰柒拾貳
In other modern scripts
Eastern Arabic ١٢١٤٧٢ Devanagari १२१४७२ Bengali ১২১৪৭২ Tamil ௧௨௧௪௭௨ Thai ๑๒๑๔๗๒ Tibetan ༡༢༡༤༧༢ Khmer ១២១៤៧២ Lao ໑໒໑໔໗໒ Burmese ၁၂၁၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121472, here are decompositions:

  • 3 + 121469 = 121472
  • 19 + 121453 = 121472
  • 31 + 121441 = 121472
  • 103 + 121369 = 121472
  • 139 + 121333 = 121472
  • 151 + 121321 = 121472
  • 163 + 121309 = 121472
  • 181 + 121291 = 121472

Showing the first eight; more decompositions exist.

Unicode codepoint
𝪀
Signwriting Location-Floorplane Space
U+1DA80
Other symbol (So)

UTF-8 encoding: F0 9D AA 80 (4 bytes).

Hex color
#01DA80
RGB(1, 218, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.218.128.

Address
0.1.218.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.218.128

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 121,472 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 121472 first appears in π at position 4,559 of the decimal expansion (the 4,559ordinal-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.