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146,744

146,744 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.).

146,744 (one hundred forty-six thousand seven hundred forty-four) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 17 × 83. Its proper divisors sum to 170,776, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D38.

Abundant Number Harshad / Niven Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,688
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
447,641
Recamán's sequence
a(214,928) = 146,744
Square (n²)
21,533,801,536
Cube (n³)
3,159,956,172,598,784
Divisor count
32
σ(n) — sum of divisors
317,520
φ(n) — Euler's totient
62,976
Sum of prime factors
119

Primality

Prime factorization: 2 3 × 13 × 17 × 83

Nearest primes: 146,743 (−1) · 146,749 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 8 · 13 · 17 · 26 · 34 · 52 · 68 · 83 · 104 · 136 · 166 · 221 · 332 · 442 · 664 · 884 · 1079 · 1411 · 1768 · 2158 · 2822 · 4316 · 5644 · 8632 · 11288 · 18343 · 36686 · 73372 (half) · 146744
Aliquot sum (sum of proper divisors): 170,776
Factor pairs (a × b = 146,744)
1 × 146744
2 × 73372
4 × 36686
8 × 18343
13 × 11288
17 × 8632
26 × 5644
34 × 4316
52 × 2822
68 × 2158
83 × 1768
104 × 1411
136 × 1079
166 × 884
221 × 664
332 × 442
First multiples
146,744 · 293,488 (double) · 440,232 · 586,976 · 733,720 · 880,464 · 1,027,208 · 1,173,952 · 1,320,696 · 1,467,440

Sums & aliquot sequence

As consecutive integers: 11,282 + 11,283 + … + 11,294 9,164 + 9,165 + … + 9,179 8,624 + 8,625 + … + 8,640 1,727 + 1,728 + … + 1,809
Aliquot sequence: 146,744 170,776 149,444 112,090 108,230 90,490 72,410 68,206 35,834 24,646 12,326 6,166 3,086 1,546 776 694 350 — unresolved within range

Continued fraction of √n

√146,744 = [383; (13, 1, 13, 766)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand seven hundred forty-four
Ordinal
146744th
Binary
100011110100111000
Octal
436470
Hexadecimal
0x23D38
Base64
Aj04
One's complement
4,294,820,551 (32-bit)
Scientific notation
1.46744 × 10⁵
As a duration
146,744 s = 1 day, 16 hours, 45 minutes, 44 seconds
In other bases
ternary (3) 21110021222
quaternary (4) 203310320
quinary (5) 14143434
senary (6) 3051212
septenary (7) 1150553
nonary (9) 243258
undecimal (11) a0284
duodecimal (12) 70b08
tridecimal (13) 51a40
tetradecimal (14) 3b69a
pentadecimal (15) 2d72e

As an angle

146,744° = 407 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛψμδʹ
Mayan (base 20)
𝋲·𝋦·𝋱·𝋤
Chinese
一十四萬六千七百四十四
Chinese (financial)
壹拾肆萬陸仟柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٤٦٧٤٤ Devanagari १४६७४४ Bengali ১৪৬৭৪৪ Tamil ௧௪௬௭௪௪ Thai ๑๔๖๗๔๔ Tibetan ༡༤༦༧༤༤ Khmer ១៤៦៧៤៤ Lao ໑໔໖໗໔໔ Burmese ၁၄၆၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146744, here are decompositions:

  • 43 + 146701 = 146744
  • 61 + 146683 = 146744
  • 67 + 146677 = 146744
  • 97 + 146647 = 146744
  • 127 + 146617 = 146744
  • 163 + 146581 = 146744
  • 181 + 146563 = 146744
  • 223 + 146521 = 146744

Showing the first eight; more decompositions exist.

Unicode codepoint
𣴸
CJK Unified Ideograph-23D38
U+23D38
Other letter (Lo)

UTF-8 encoding: F0 A3 B4 B8 (4 bytes).

Hex color
#023D38
RGB(2, 61, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.56.

Address
0.2.61.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.56

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 146,744 and was likely granted around 1873.

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

Position in π

The digit sequence 146744 first appears in π at position 788,732 of the decimal expansion (the 788,732ordinal-suffix:nd 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.