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149,984

149,984 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.).

149,984 (one hundred forty-nine thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 43 × 109. Its proper divisors sum to 154,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x249E0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
10,368
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
489,941
Square (n²)
22,495,200,256
Cube (n³)
3,373,920,115,195,904
Divisor count
24
σ(n) — sum of divisors
304,920
φ(n) — Euler's totient
72,576
Sum of prime factors
162

Primality

Prime factorization: 2 5 × 43 × 109

Nearest primes: 149,971 (−13) · 149,993 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 32 · 43 · 86 · 109 · 172 · 218 · 344 · 436 · 688 · 872 · 1376 · 1744 · 3488 · 4687 · 9374 · 18748 · 37496 · 74992 (half) · 149984
Aliquot sum (sum of proper divisors): 154,936
Factor pairs (a × b = 149,984)
1 × 149984
2 × 74992
4 × 37496
8 × 18748
16 × 9374
32 × 4687
43 × 3488
86 × 1744
109 × 1376
172 × 872
218 × 688
344 × 436
First multiples
149,984 · 299,968 (double) · 449,952 · 599,936 · 749,920 · 899,904 · 1,049,888 · 1,199,872 · 1,349,856 · 1,499,840

Sums & aliquot sequence

As consecutive integers: 3,467 + 3,468 + … + 3,509 2,312 + 2,313 + … + 2,375 1,322 + 1,323 + … + 1,430
Aliquot sequence: 149,984 154,936 139,904 139,066 76,358 39,970 42,398 28,882 20,654 11,746 8,414 6,034 4,334 2,794 1,814 910 1,106 — unresolved within range

Continued fraction of √n

√149,984 = [387; (3, 1, 1, 1, 1, 30, 2, 1, 2, 3, 1, 1, 1, 3, 3, 5, 27, 2, 9, 5, 4, 4, 2, 1, …)]

Representations

In words
one hundred forty-nine thousand nine hundred eighty-four
Ordinal
149984th
Binary
100100100111100000
Octal
444740
Hexadecimal
0x249E0
Base64
Akng
One's complement
4,294,817,311 (32-bit)
Scientific notation
1.49984 × 10⁵
As a duration
149,984 s = 1 day, 17 hours, 39 minutes, 44 seconds
In other bases
ternary (3) 21121201222
quaternary (4) 210213200
quinary (5) 14244414
senary (6) 3114212
septenary (7) 1163162
nonary (9) 247658
undecimal (11) a275a
duodecimal (12) 72968
tridecimal (13) 53363
tetradecimal (14) 3c932
pentadecimal (15) 2e68e

As an angle

149,984° = 416 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμθϡπδʹ
Mayan (base 20)
𝋲·𝋮·𝋳·𝋤
Chinese
一十四萬九千九百八十四
Chinese (financial)
壹拾肆萬玖仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٤٩٩٨٤ Devanagari १४९९८४ Bengali ১৪৯৯৮৪ Tamil ௧௪௯௯௮௪ Thai ๑๔๙๙๘๔ Tibetan ༡༤༩༩༨༤ Khmer ១៤៩៩៨៤ Lao ໑໔໙໙໘໔ Burmese ၁၄၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 149984, here are decompositions:

  • 13 + 149971 = 149984
  • 31 + 149953 = 149984
  • 73 + 149911 = 149984
  • 157 + 149827 = 149984
  • 181 + 149803 = 149984
  • 193 + 149791 = 149984
  • 271 + 149713 = 149984
  • 421 + 149563 = 149984

Showing the first eight; more decompositions exist.

Unicode codepoint
𤧠
CJK Unified Ideograph-249E0
U+249E0
Other letter (Lo)

UTF-8 encoding: F0 A4 A7 A0 (4 bytes).

Hex color
#0249E0
RGB(2, 73, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.73.224.

Address
0.2.73.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.73.224

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 149,984 and was likely granted around 1873.

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.