Live analysis

1,017,020

1,017,020 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.).

1,017,020 (one million seventeen thousand twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 211 × 241. Its proper divisors sum to 1,137,748, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF84BC.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,017,008 1,017,009 1,017,010 1,017,011 1,017,012 1,017,013 1,017,014 1,017,015 1,017,016 1,017,017 1,017,018 1,017,019 1,017,020 1,017,021 1,017,022 1,017,023 1,017,024 1,017,025 1,017,026 1,017,027 1,017,028 1,017,029 1,017,030 1,017,031 1,017,032

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 207,101
Recamán's sequence: a(367,139) = 1,017,020
Square (n²): 1,034,329,680,400
Cube (n³): 1,051,933,971,560,408,000
Divisor count: 24
σ(n) — sum of divisors: 2,154,768
φ(n) — Euler's totient: 403,200
Sum of prime factors: 461

Primality

Prime factorization: 2 ² × 5 × 211 × 241

Nearest primes: 1,017,011 (−9) · 1,017,031 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 211 · 241 · 422 · 482 · 844 · 964 · 1055 · 1205 · 2110 · 2410 · 4220 · 4820 · 50851 · 101702 · 203404 · 254255 · 508510 (half) · 1017020

Aliquot sum (sum of proper divisors): 1,137,748

Factor pairs (a × b = 1,017,020)

1 × 1017020

2 × 508510

4 × 254255

5 × 203404

10 × 101702

20 × 50851

211 × 4820

241 × 4220

422 × 2410

482 × 2110

844 × 1205

964 × 1055

First multiples

1,017,020 · 2,034,040 (double) · 3,051,060 · 4,068,080 · 5,085,100 · 6,102,120 · 7,119,140 · 8,136,160 · 9,153,180 · 10,170,200

Sums & aliquot sequence

As consecutive integers: 203,402 + 203,403 + 203,404 + 203,405 + 203,406 127,124 + 127,125 + … + 127,131 25,406 + 25,407 + … + 25,445 4,715 + 4,716 + … + 4,925

Aliquot sequence: 1,017,020 → 1,137,748 → 860,864 → 847,540 → 991,052 → 785,884 → 747,284 → 567,820 → 792,980 → 927,340 → 1,038,260 → 1,142,128 → 1,522,632 → 2,284,008 → 3,526,392 → 5,289,648 → 11,928,000 — unresolved within range

Continued fraction of √n

√1,017,020 = [1008; (2, 9, 6, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, …)]

Representations

In words: one million seventeen thousand twenty
Ordinal: 1017020th
Binary: 11111000010010111100
Octal: 3702274
Hexadecimal: 0xF84BC
Base64: D4S8
One's complement: 4,293,950,275 (32-bit)
Scientific notation: 1.01702 × 10⁶
As a duration: 1,017,020 s = 11 days, 18 hours, 30 minutes, 20 seconds

In other bases

ternary (3) 1220200002102

quaternary (4) 3320102330

quinary (5) 230021040

senary (6) 33444232

septenary (7) 11434034

nonary (9) 1820072

undecimal (11) 635114

duodecimal (12) 410678

tridecimal (13) 297bb4

tetradecimal (14) 1c68c4

pentadecimal (15) 151515

As an angle

1,017,020° = 2,825 × 360° + 20°

20° ≈ 0.349 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆
Chinese: 一百零一萬七千零二十
Chinese (financial): 壹佰零壹萬柒仟零貳拾

In other modern scripts

Eastern Arabic ١٠١٧٠٢٠ Devanagari १०१७०२० Bengali ১০১৭০২০ Tamil ௧௦௧௭௦௨௦ Thai ๑๐๑๗๐๒๐ Tibetan ༡༠༡༧༠༢༠ Khmer ១០១៧០២០ Lao ໑໐໑໗໐໒໐ Burmese ၁၀၁၇၀၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1017020, here are decompositions:

13 + 1017007 = 1017020
61 + 1016959 = 1017020
73 + 1016947 = 1017020
79 + 1016941 = 1017020
139 + 1016881 = 1017020
181 + 1016839 = 1017020
271 + 1016749 = 1017020
283 + 1016737 = 1017020

Showing the first eight; more decompositions exist.

Hex color

#0F84BC

RGB(15, 132, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.132.188.

Address: 0.15.132.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.132.188

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 7020 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

7020-10-01 (MMDYYYY (US, single-digit day))
7020-01-10 (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 1,017,020 and was likely granted around 1911.

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

Look up US1,017,020 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1017020 first appears in π at position 186,582 of the decimal expansion (the 186,582ordinal-suffix:nd 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.

Look up 1017020 on Pi Search ↗