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1,013,376

1,013,376 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.).

1,013,376 (one million thirteen thousand three hundred seventy-six) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 7 × 13 × 29. Its proper divisors sum to 2,413,824, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7680.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
6,733,101
Square (n²)
1,026,930,917,376
Cube (n³)
1,040,667,145,326,821,376
Divisor count
128
σ(n) — sum of divisors
3,427,200
φ(n) — Euler's totient
258,048
Sum of prime factors
66

Primality

Prime factorization: 2 7 × 3 × 7 × 13 × 29

Nearest primes: 1,013,329 (−47) · 1,013,377 (+1)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 13 · 14 · 16 · 21 · 24 · 26 · 28 · 29 · 32 · 39 · 42 · 48 · 52 · 56 · 58 · 64 · 78 · 84 · 87 · 91 · 96 · 104 · 112 · 116 · 128 · 156 · 168 · 174 · 182 · 192 · 203 · 208 · 224 · 232 · 273 · 312 · 336 · 348 · 364 · 377 · 384 · 406 · 416 · 448 · 464 · 546 · 609 · 624 · 672 · 696 · 728 · 754 · 812 · 832 · 896 · 928 · 1092 · 1131 · 1218 · 1248 · 1344 · 1392 · 1456 · 1508 · 1624 · 1664 · 1856 · 2184 · 2262 · 2436 · 2496 · 2639 · 2688 · 2784 · 2912 · 3016 · 3248 · 3712 · 4368 · 4524 · 4872 · 4992 · 5278 · 5568 · 5824 · 6032 · 6496 · 7917 · 8736 · 9048 · 9744 · 10556 · 11136 · 11648 · 12064 · 12992 · 15834 · 17472 · 18096 · 19488 · 21112 · 24128 · 25984 · 31668 · 34944 · 36192 · 38976 · 42224 · 48256 · 63336 · 72384 · 77952 · 84448 · 126672 · 144768 · 168896 · 253344 · 337792 · 506688 (half) · 1013376
Aliquot sum (sum of proper divisors): 2,413,824
Factor pairs (a × b = 1,013,376)
1 × 1013376
2 × 506688
3 × 337792
4 × 253344
6 × 168896
7 × 144768
8 × 126672
12 × 84448
13 × 77952
14 × 72384
16 × 63336
21 × 48256
24 × 42224
26 × 38976
28 × 36192
29 × 34944
32 × 31668
39 × 25984
42 × 24128
48 × 21112
52 × 19488
56 × 18096
58 × 17472
64 × 15834
78 × 12992
84 × 12064
87 × 11648
91 × 11136
96 × 10556
104 × 9744
112 × 9048
116 × 8736
128 × 7917
156 × 6496
168 × 6032
174 × 5824
182 × 5568
192 × 5278
203 × 4992
208 × 4872
224 × 4524
232 × 4368
273 × 3712
312 × 3248
336 × 3016
348 × 2912
364 × 2784
377 × 2688
384 × 2639
406 × 2496
416 × 2436
448 × 2262
464 × 2184
546 × 1856
609 × 1664
624 × 1624
672 × 1508
696 × 1456
728 × 1392
754 × 1344
812 × 1248
832 × 1218
896 × 1131
928 × 1092
First multiples
1,013,376 · 2,026,752 (double) · 3,040,128 · 4,053,504 · 5,066,880 · 6,080,256 · 7,093,632 · 8,107,008 · 9,120,384 · 10,133,760

Sums & aliquot sequence

As consecutive integers: 337,791 + 337,792 + 337,793 144,765 + 144,766 + … + 144,771 77,946 + 77,947 + … + 77,958 48,246 + 48,247 + … + 48,266
Aliquot sequence: 1,013,376 2,413,824 4,944,576 11,213,888 14,218,624 18,746,756 18,746,812 19,834,892 23,441,908 24,587,052 40,978,644 69,852,972 116,421,844 144,137,126 117,030,490 93,624,410 90,220,102 — unresolved within range

Continued fraction of √n

√1,013,376 = [1006; (1, 1, 1, 125, 6, 503, 6, 125, 1, 1, 1, 2012)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million thirteen thousand three hundred seventy-six
Ordinal
1013376th
Binary
11110111011010000000
Octal
3673200
Hexadecimal
0xF7680
Base64
D3aA
One's complement
4,293,953,919 (32-bit)
Scientific notation
1.013376 × 10⁶
As a duration
1,013,376 s = 11 days, 17 hours, 29 minutes, 36 seconds
In other bases
ternary (3) 1220111002110
quaternary (4) 3313122000
quinary (5) 224412001
senary (6) 33415320
septenary (7) 11420310
nonary (9) 1814073
undecimal (11) 632401
duodecimal (12) 40a540
tridecimal (13) 296340
tetradecimal (14) 1c5440
pentadecimal (15) 1503d6

As an angle

1,013,376° = 2,814 × 360° + 336°
336° ≈ 5.864 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千三百七十六
Chinese (financial)
壹佰零壹萬參仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٠١٣٣٧٦ Devanagari १०१३३७६ Bengali ১০১৩৩৭৬ Tamil ௧௦௧௩௩௭௬ Thai ๑๐๑๓๓๗๖ Tibetan ༡༠༡༣༣༧༦ Khmer ១០១៣៣៧៦ Lao ໑໐໑໓໓໗໖ Burmese ၁၀၁၃၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013376, here are decompositions:

  • 47 + 1013329 = 1013376
  • 97 + 1013279 = 1013376
  • 109 + 1013267 = 1013376
  • 113 + 1013263 = 1013376
  • 127 + 1013249 = 1013376
  • 137 + 1013239 = 1013376
  • 139 + 1013237 = 1013376
  • 149 + 1013227 = 1013376

Showing the first eight; more decompositions exist.

Hex color
#0F7680
RGB(15, 118, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.128.

Address
0.15.118.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3376 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3376-10-01 (MMDYYYY (US, single-digit day))
  • 3376-01-10 (DDMYYYY (Euro, single-digit month))
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 1,013,376 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°.