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10,374

10,374 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.).

10,374 (ten thousand three hundred seventy-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 13 × 19. Its proper divisors sum to 16,506, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2886.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
47,301
Recamán's sequence
a(50,771) = 10,374
Square (n²)
107,619,876
Cube (n³)
1,116,448,593,624
Divisor count
32
σ(n) — sum of divisors
26,880
φ(n) — Euler's totient
2,592
Sum of prime factors
44

Primality

Prime factorization: 2 × 3 × 7 × 13 × 19

Nearest primes: 10,369 (−5) · 10,391 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 13 · 14 · 19 · 21 · 26 · 38 · 39 · 42 · 57 · 78 · 91 · 114 · 133 · 182 · 247 · 266 · 273 · 399 · 494 · 546 · 741 · 798 · 1482 · 1729 · 3458 · 5187 (half) · 10374
Aliquot sum (sum of proper divisors): 16,506
Factor pairs (a × b = 10,374)
1 × 10374
2 × 5187
3 × 3458
6 × 1729
7 × 1482
13 × 798
14 × 741
19 × 546
21 × 494
26 × 399
38 × 273
39 × 266
42 × 247
57 × 182
78 × 133
91 × 114
First multiples
10,374 · 20,748 (double) · 31,122 · 41,496 · 51,870 · 62,244 · 72,618 · 82,992 · 93,366 · 103,740

Sums & aliquot sequence

As consecutive integers: 3,457 + 3,458 + 3,459 2,592 + 2,593 + 2,594 + 2,595 1,479 + 1,480 + … + 1,485 859 + 860 + … + 870
Aliquot sequence: 10,374 16,506 24,678 30,282 40,854 48,426 62,358 69,162 69,174 110,874 124,134 138,954 138,966 172,074 246,102 246,114 345,204 — unresolved within range

Continued fraction of √n

√10,374 = [101; (1, 5, 1, 3, 1, 7, 2, 1, 4, 1, 2, 7, 1, 3, 1, 5, 1, 202)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
ten thousand three hundred seventy-four
Ordinal
10374th
Binary
10100010000110
Octal
24206
Hexadecimal
0x2886
Base64
KIY=
One's complement
55,161 (16-bit)
Scientific notation
1.0374 × 10⁴
As a duration
10,374 s = 2 hours, 52 minutes, 54 seconds
In other bases
ternary (3) 112020020
quaternary (4) 2202012
quinary (5) 312444
senary (6) 120010
septenary (7) 42150
nonary (9) 15206
undecimal (11) 7881
duodecimal (12) 6006
tridecimal (13) 4950
tetradecimal (14) 3ad0
pentadecimal (15) 3119
Palindromic in base 12

As an angle

10,374° = 28 × 360° + 294°
294° ≈ 5.131 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιτοδʹ
Mayan (base 20)
𝋡·𝋥·𝋲·𝋮
Chinese
一萬零三百七十四
Chinese (financial)
壹萬零參佰柒拾肆
In other modern scripts
Eastern Arabic ١٠٣٧٤ Devanagari १०३७४ Bengali ১০৩৭৪ Tamil ௧௦௩௭௪ Thai ๑๐๓๗๔ Tibetan ༡༠༣༧༤ Khmer ១០៣៧៤ Lao ໑໐໓໗໔ Burmese ၁၀၃၇၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,374 = 3
e — Euler's number (e)
Digit 10,374 = 0
φ — Golden ratio (φ)
Digit 10,374 = 8
√2 — Pythagoras's (√2)
Digit 10,374 = 5
ln 2 — Natural log of 2
Digit 10,374 = 8
γ — Euler-Mascheroni (γ)
Digit 10,374 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10374, here are decompositions:

  • 5 + 10369 = 10374
  • 17 + 10357 = 10374
  • 31 + 10343 = 10374
  • 37 + 10337 = 10374
  • 41 + 10333 = 10374
  • 43 + 10331 = 10374
  • 53 + 10321 = 10374
  • 61 + 10313 = 10374

Showing the first eight; more decompositions exist.

Unicode codepoint
Braille Pattern Dots-238
U+2886
Other symbol (So)

UTF-8 encoding: E2 A2 86 (3 bytes).

Hex color
#002886
RGB(0, 40, 134)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.40.134.

Address
0.0.40.134
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.40.134

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 10,374 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E9 (10548.1 Hz, -29¢)
  • Scientific pitch (C4 = 256 Hz): E9 (10321.3 Hz, +9¢)
  • Baroque pitch (A4 = 415 Hz): F9 (10540.3 Hz, -28¢)
Position in π

The digit sequence 10374 first appears in π at position 150,474 of the decimal expansion (the 150,474ordinal-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°.