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146,736

146,736 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.).

146,736 (one hundred forty-six thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 1,019. Its proper divisors sum to 264,324, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23D30.

Abundant Number Arithmetic Number Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
3,024
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
637,641
Recamán's sequence
a(214,944) = 146,736
Square (n²)
21,531,453,696
Cube (n³)
3,159,439,389,536,256
Divisor count
30
σ(n) — sum of divisors
411,060
φ(n) — Euler's totient
48,864
Sum of prime factors
1,033

Primality

Prime factorization: 2 4 × 3 2 × 1019

Nearest primes: 146,719 (−17) · 146,743 (+7)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 1019 · 2038 · 3057 · 4076 · 6114 · 8152 · 9171 · 12228 · 16304 · 18342 · 24456 · 36684 · 48912 · 73368 (half) · 146736
Aliquot sum (sum of proper divisors): 264,324
Factor pairs (a × b = 146,736)
1 × 146736
2 × 73368
3 × 48912
4 × 36684
6 × 24456
8 × 18342
9 × 16304
12 × 12228
16 × 9171
18 × 8152
24 × 6114
36 × 4076
48 × 3057
72 × 2038
144 × 1019
First multiples
146,736 · 293,472 (double) · 440,208 · 586,944 · 733,680 · 880,416 · 1,027,152 · 1,173,888 · 1,320,624 · 1,467,360

Sums & aliquot sequence

As consecutive integers: 48,911 + 48,912 + 48,913 16,300 + 16,301 + … + 16,308 4,570 + 4,571 + … + 4,601 1,481 + 1,482 + … + 1,576
Aliquot sequence: 146,736 264,324 352,460 387,748 338,012 253,516 197,844 263,820 475,044 670,044 893,420 1,235,476 1,181,708 1,104,436 895,184 839,266 425,738 — unresolved within range

Continued fraction of √n

√146,736 = [383; (16, 3, 2, 1, 11, 2, 5, 1, 23, 10, 2, 4, 1, 4, 5, 3, 1, 3, 2, 47, 2, 3, 1, 3, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-six thousand seven hundred thirty-six
Ordinal
146736th
Binary
100011110100110000
Octal
436460
Hexadecimal
0x23D30
Base64
Aj0w
One's complement
4,294,820,559 (32-bit)
Scientific notation
1.46736 × 10⁵
As a duration
146,736 s = 1 day, 16 hours, 45 minutes, 36 seconds
In other bases
ternary (3) 21110021200
quaternary (4) 203310300
quinary (5) 14143421
senary (6) 3051200
septenary (7) 1150542
nonary (9) 243250
undecimal (11) a0277
duodecimal (12) 70b00
tridecimal (13) 51a35
tetradecimal (14) 3b692
pentadecimal (15) 2d726

As an angle

146,736° = 407 × 360° + 216°
216° ≈ 3.77 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμϛψλϛʹ
Mayan (base 20)
𝋲·𝋦·𝋰·𝋰
Chinese
一十四萬六千七百三十六
Chinese (financial)
壹拾肆萬陸仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٤٦٧٣٦ Devanagari १४६७३६ Bengali ১৪৬৭৩৬ Tamil ௧௪௬௭௩௬ Thai ๑๔๖๗๓๖ Tibetan ༡༤༦༧༣༦ Khmer ១៤៦៧៣៦ Lao ໑໔໖໗໓໖ Burmese ၁၄၆၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 146736, here are decompositions:

  • 17 + 146719 = 146736
  • 53 + 146683 = 146736
  • 59 + 146677 = 146736
  • 67 + 146669 = 146736
  • 89 + 146647 = 146736
  • 97 + 146639 = 146736
  • 127 + 146609 = 146736
  • 173 + 146563 = 146736

Showing the first eight; more decompositions exist.

Unicode codepoint
𣴰
CJK Unified Ideograph-23D30
U+23D30
Other letter (Lo)

UTF-8 encoding: F0 A3 B4 B0 (4 bytes).

Hex color
#023D30
RGB(2, 61, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.61.48.

Address
0.2.61.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.61.48

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 146,736 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 146736 first appears in π at position 427,379 of the decimal expansion (the 427,379ordinal-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°.