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145,376

145,376 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.).

145,376 (one hundred forty-five thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 7 × 11 × 59. Its proper divisors sum to 217,504, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x237E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,520
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
673,541
Recamán's sequence
a(217,664) = 145,376
Square (n²)
21,134,181,376
Cube (n³)
3,072,402,751,717,376
Divisor count
48
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
55,680
Sum of prime factors
87

Primality

Prime factorization: 2 5 × 7 × 11 × 59

Nearest primes: 145,361 (−15) · 145,381 (+5)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 7 · 8 · 11 · 14 · 16 · 22 · 28 · 32 · 44 · 56 · 59 · 77 · 88 · 112 · 118 · 154 · 176 · 224 · 236 · 308 · 352 · 413 · 472 · 616 · 649 · 826 · 944 · 1232 · 1298 · 1652 · 1888 · 2464 · 2596 · 3304 · 4543 · 5192 · 6608 · 9086 · 10384 · 13216 · 18172 · 20768 · 36344 · 72688 (half) · 145376
Aliquot sum (sum of proper divisors): 217,504
Factor pairs (a × b = 145,376)
1 × 145376
2 × 72688
4 × 36344
7 × 20768
8 × 18172
11 × 13216
14 × 10384
16 × 9086
22 × 6608
28 × 5192
32 × 4543
44 × 3304
56 × 2596
59 × 2464
77 × 1888
88 × 1652
112 × 1298
118 × 1232
154 × 944
176 × 826
224 × 649
236 × 616
308 × 472
352 × 413
First multiples
145,376 · 290,752 (double) · 436,128 · 581,504 · 726,880 · 872,256 · 1,017,632 · 1,163,008 · 1,308,384 · 1,453,760

Sums & aliquot sequence

As consecutive integers: 20,765 + 20,766 + … + 20,771 13,211 + 13,212 + … + 13,221 2,435 + 2,436 + … + 2,493 2,240 + 2,241 + … + 2,303
Aliquot sequence: 145,376 217,504 272,384 382,816 479,024 708,400 1,505,744 1,411,666 705,836 529,384 463,226 231,616 353,600 638,524 478,900 560,530 448,442 — unresolved within range

Continued fraction of √n

√145,376 = [381; (3, 1, 1, 4, 1, 189, 1, 4, 1, 1, 3, 762)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand three hundred seventy-six
Ordinal
145376th
Binary
100011011111100000
Octal
433740
Hexadecimal
0x237E0
Base64
Ajfg
One's complement
4,294,821,919 (32-bit)
Scientific notation
1.45376 × 10⁵
As a duration
145,376 s = 1 day, 16 hours, 22 minutes, 56 seconds
In other bases
ternary (3) 21101102022
quaternary (4) 203133200
quinary (5) 14123001
senary (6) 3041012
septenary (7) 1143560
nonary (9) 241368
undecimal (11) 9a250
duodecimal (12) 70168
tridecimal (13) 5122a
tetradecimal (14) 3ada0
pentadecimal (15) 2d11b

As an angle

145,376° = 403 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμετοϛʹ
Mayan (base 20)
𝋲·𝋣·𝋨·𝋰
Chinese
一十四萬五千三百七十六
Chinese (financial)
壹拾肆萬伍仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٤٥٣٧٦ Devanagari १४५३७६ Bengali ১৪৫৩৭৬ Tamil ௧௪௫௩௭௬ Thai ๑๔๕๓๗๖ Tibetan ༡༤༥༣༧༦ Khmer ១៤៥៣៧៦ Lao ໑໔໕໓໗໖ Burmese ၁၄၅၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145376, here are decompositions:

  • 73 + 145303 = 145376
  • 109 + 145267 = 145376
  • 157 + 145219 = 145376
  • 163 + 145213 = 145376
  • 199 + 145177 = 145376
  • 307 + 145069 = 145376
  • 313 + 145063 = 145376
  • 367 + 145009 = 145376

Showing the first eight; more decompositions exist.

Unicode codepoint
𣟠
CJK Unified Ideograph-237E0
U+237E0
Other letter (Lo)

UTF-8 encoding: F0 A3 9F A0 (4 bytes).

Hex color
#0237E0
RGB(2, 55, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.55.224.

Address
0.2.55.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.55.224

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 145,376 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 145376 first appears in π at position 534,470 of the decimal expansion (the 534,470ordinal-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.