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1,003,374

1,003,374 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.).

1,003,374 (one million three thousand three hundred seventy-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 17 × 1,093. Its proper divisors sum to 1,359,666, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F6E.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
4,733,001
Square (n²)
1,006,759,383,876
Cube (n³)
1,010,156,190,037,197,624
Divisor count
32
σ(n) — sum of divisors
2,363,040
φ(n) — Euler's totient
314,496
Sum of prime factors
1,121

Primality

Prime factorization: 2 × 3 3 × 17 × 1093

Nearest primes: 1,003,369 (−5) · 1,003,381 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 9 · 17 · 18 · 27 · 34 · 51 · 54 · 102 · 153 · 306 · 459 · 918 · 1093 · 2186 · 3279 · 6558 · 9837 · 18581 · 19674 · 29511 · 37162 · 55743 · 59022 · 111486 · 167229 · 334458 · 501687 (half) · 1003374
Aliquot sum (sum of proper divisors): 1,359,666
Factor pairs (a × b = 1,003,374)
1 × 1003374
2 × 501687
3 × 334458
6 × 167229
9 × 111486
17 × 59022
18 × 55743
27 × 37162
34 × 29511
51 × 19674
54 × 18581
102 × 9837
153 × 6558
306 × 3279
459 × 2186
918 × 1093
First multiples
1,003,374 · 2,006,748 (double) · 3,010,122 · 4,013,496 · 5,016,870 · 6,020,244 · 7,023,618 · 8,026,992 · 9,030,366 · 10,033,740

Sums & aliquot sequence

As consecutive integers: 334,457 + 334,458 + 334,459 250,842 + 250,843 + 250,844 + 250,845 111,482 + 111,483 + … + 111,490 83,609 + 83,610 + … + 83,620
Aliquot sequence: 1,003,374 1,359,666 2,473,614 4,032,522 5,882,838 6,885,162 9,119,190 12,848,010 22,686,582 22,759,098 25,334,598 26,413,242 27,007,878 27,311,802 35,115,270 51,219,930 71,707,974 — unresolved within range

Continued fraction of √n

√1,003,374 = [1001; (1, 2, 5, 1, 1, 5, 1, 1, 25, 2, 10, 9, 7, 3, 4, 2, 2, 1, 1, 6, 6, 4, 2, 1, …)]

Representations

In words
one million three thousand three hundred seventy-four
Ordinal
1003374th
Binary
11110100111101101110
Octal
3647556
Hexadecimal
0xF4F6E
Base64
D09u
One's complement
4,293,963,921 (32-bit)
Scientific notation
1.003374 × 10⁶
As a duration
1,003,374 s = 11 days, 14 hours, 42 minutes, 54 seconds
In other bases
ternary (3) 1212222101000
quaternary (4) 3310331232
quinary (5) 224101444
senary (6) 33301130
septenary (7) 11346201
nonary (9) 1788330
undecimal (11) 625939
duodecimal (12) 4047a6
tridecimal (13) 291918
tetradecimal (14) 1c1938
pentadecimal (15) 14c469

As an angle

1,003,374° = 2,787 × 360° + 54°
54° ≈ 0.942 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百萬三千三百七十四
Chinese (financial)
壹佰萬參仟參佰柒拾肆
In other modern scripts
Eastern Arabic ١٠٠٣٣٧٤ Devanagari १००३३७४ Bengali ১০০৩৩৭৪ Tamil ௧௦௦௩௩௭௪ Thai ๑๐๐๓๓๗๔ Tibetan ༡༠༠༣༣༧༤ Khmer ១០០៣៣៧៤ Lao ໑໐໐໓໓໗໔ Burmese ၁၀၀၃၃၇၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003374, here are decompositions:

  • 5 + 1003369 = 1003374
  • 7 + 1003367 = 1003374
  • 11 + 1003363 = 1003374
  • 13 + 1003361 = 1003374
  • 23 + 1003351 = 1003374
  • 37 + 1003337 = 1003374
  • 67 + 1003307 = 1003374
  • 83 + 1003291 = 1003374

Showing the first eight; more decompositions exist.

Hex color
#0F4F6E
RGB(15, 79, 110)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.110.

Address
0.15.79.110
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.79.110

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 1,003,374 and was likely granted around 1911.

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

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.