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141,984

141,984 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.).

141,984 (one hundred forty-one thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 17 × 29. Its proper divisors sum to 300,276, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x22AA0.

Abundant Number Evil Number Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,152
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
489,141
Recamán's sequence
a(484,859) = 141,984
Square (n²)
20,159,456,256
Cube (n³)
2,862,320,237,051,904
Divisor count
72
σ(n) — sum of divisors
442,260
φ(n) — Euler's totient
43,008
Sum of prime factors
62

Primality

Prime factorization: 2 5 × 3 2 × 17 × 29

Nearest primes: 141,971 (−13) · 141,991 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 17 · 18 · 24 · 29 · 32 · 34 · 36 · 48 · 51 · 58 · 68 · 72 · 87 · 96 · 102 · 116 · 136 · 144 · 153 · 174 · 204 · 232 · 261 · 272 · 288 · 306 · 348 · 408 · 464 · 493 · 522 · 544 · 612 · 696 · 816 · 928 · 986 · 1044 · 1224 · 1392 · 1479 · 1632 · 1972 · 2088 · 2448 · 2784 · 2958 · 3944 · 4176 · 4437 · 4896 · 5916 · 7888 · 8352 · 8874 · 11832 · 15776 · 17748 · 23664 · 35496 · 47328 · 70992 (half) · 141984
Aliquot sum (sum of proper divisors): 300,276
Factor pairs (a × b = 141,984)
1 × 141984
2 × 70992
3 × 47328
4 × 35496
6 × 23664
8 × 17748
9 × 15776
12 × 11832
16 × 8874
17 × 8352
18 × 7888
24 × 5916
29 × 4896
32 × 4437
34 × 4176
36 × 3944
48 × 2958
51 × 2784
58 × 2448
68 × 2088
72 × 1972
87 × 1632
96 × 1479
102 × 1392
116 × 1224
136 × 1044
144 × 986
153 × 928
174 × 816
204 × 696
232 × 612
261 × 544
272 × 522
288 × 493
306 × 464
348 × 408
First multiples
141,984 · 283,968 (double) · 425,952 · 567,936 · 709,920 · 851,904 · 993,888 · 1,135,872 · 1,277,856 · 1,419,840

Sums & aliquot sequence

As a sum of two squares: 60² + 372² = 228² + 300²
As consecutive integers: 47,327 + 47,328 + 47,329 15,772 + 15,773 + … + 15,780 8,344 + 8,345 + … + 8,360 4,882 + 4,883 + … + 4,910
Aliquot sequence: 141,984 300,276 500,524 375,400 497,870 398,314 314,774 172,714 86,360 121,000 190,220 209,284 156,970 151,478 94,762 47,384 41,476 — unresolved within range

Continued fraction of √n

√141,984 = [376; (1, 4, 5, 29, 1, 19, 1, 29, 5, 4, 1, 752)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-one thousand nine hundred eighty-four
Ordinal
141984th
Binary
100010101010100000
Octal
425240
Hexadecimal
0x22AA0
Base64
Aiqg
One's complement
4,294,825,311 (32-bit)
Scientific notation
1.41984 × 10⁵
As a duration
141,984 s = 1 day, 15 hours, 26 minutes, 24 seconds
In other bases
ternary (3) 21012202200
quaternary (4) 202222200
quinary (5) 14020414
senary (6) 3013200
septenary (7) 1130643
nonary (9) 235680
undecimal (11) 97747
duodecimal (12) 6a200
tridecimal (13) 4c81b
tetradecimal (14) 39a5a
pentadecimal (15) 2c109

As an angle

141,984° = 394 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμαϡπδʹ
Mayan (base 20)
𝋱·𝋮·𝋳·𝋤
Chinese
一十四萬一千九百八十四
Chinese (financial)
壹拾肆萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٤١٩٨٤ Devanagari १४१९८४ Bengali ১৪১৯৮৪ Tamil ௧௪௧௯௮௪ Thai ๑๔๑๙๘๔ Tibetan ༡༤༡༩༨༤ Khmer ១៤១៩៨៤ Lao ໑໔໑໙໘໔ Burmese ၁၄၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 141984, here are decompositions:

  • 13 + 141971 = 141984
  • 23 + 141961 = 141984
  • 43 + 141941 = 141984
  • 47 + 141937 = 141984
  • 53 + 141931 = 141984
  • 67 + 141917 = 141984
  • 113 + 141871 = 141984
  • 131 + 141853 = 141984

Showing the first eight; more decompositions exist.

Unicode codepoint
𢪠
CJK Unified Ideograph-22Aa0
U+22AA0
Other letter (Lo)

UTF-8 encoding: F0 A2 AA A0 (4 bytes).

Hex color
#022AA0
RGB(2, 42, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.42.160.

Address
0.2.42.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.42.160

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 141,984 and was likely granted around 1872.

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

Position in π

The digit sequence 141984 first appears in π at position 253,366 of the decimal expansion (the 253,366ordinal-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°.