Live analysis

1,001,500

1,001,500 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.).

1,001,500 (one million one thousand five hundred) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 2,003. Its proper divisors sum to 1,186,868, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF481C.

Abundant Number Arithmetic Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,488 1,001,489 1,001,490 1,001,491 1,001,492 1,001,493 1,001,494 1,001,495 1,001,496 1,001,497 1,001,498 1,001,499 1,001,500 1,001,501 1,001,502 1,001,503 1,001,504 1,001,505 1,001,506 1,001,507 1,001,508 1,001,509 1,001,510 1,001,511 1,001,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 51,001
Square (n²): 1,003,002,250,000
Cube (n³): 1,004,506,753,375,000,000
Divisor count: 24
σ(n) — sum of divisors: 2,188,368
φ(n) — Euler's totient: 400,400
Sum of prime factors: 2,022

Primality

Prime factorization: 2 ² × 5 ³ × 2003

Nearest primes: 1,001,491 (−9) · 1,001,501 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 125 · 250 · 500 · 2003 · 4006 · 8012 · 10015 · 20030 · 40060 · 50075 · 100150 · 200300 · 250375 · 500750 (half) · 1001500

Aliquot sum (sum of proper divisors): 1,186,868

Factor pairs (a × b = 1,001,500)

1 × 1001500

2 × 500750

4 × 250375

5 × 200300

10 × 100150

20 × 50075

25 × 40060

50 × 20030

100 × 10015

125 × 8012

250 × 4006

500 × 2003

First multiples

1,001,500 · 2,003,000 (double) · 3,004,500 · 4,006,000 · 5,007,500 · 6,009,000 · 7,010,500 · 8,012,000 · 9,013,500 · 10,015,000

Sums & aliquot sequence

As consecutive integers: 200,298 + 200,299 + 200,300 + 200,301 + 200,302 125,184 + 125,185 + … + 125,191 40,048 + 40,049 + … + 40,072 25,018 + 25,019 + … + 25,057

Aliquot sequence: 1,001,500 → 1,186,868 → 941,104 → 900,296 → 876,904 → 1,036,586 → 522,838 → 265,994 → 135,766 → 67,886 → 57,778 → 41,294 → 26,314 → 14,006 → 7,594 → 3,800 → 5,500 — unresolved within range

Continued fraction of √n

√1,001,500 = [1000; (1, 2, 1, 221, 1, 1, 1, 3, 3, 24, 2, 2, 8, 1, 6, 2, 1, 1, 1, 1, 82, 1, 3, 1, …)]

Representations

In words: one million one thousand five hundred
Ordinal: 1001500th
Binary: 11110100100000011100
Octal: 3644034
Hexadecimal: 0xF481C
Base64: D0gc
One's complement: 4,293,965,795 (32-bit)
Scientific notation: 1.0015 × 10⁶
As a duration: 1,001,500 s = 11 days, 14 hours, 11 minutes, 40 seconds

In other bases

ternary (3) 1212212210121

quaternary (4) 3310200130

quinary (5) 224022000

senary (6) 33244324

septenary (7) 11340553

nonary (9) 1785717

undecimal (11) 624495

duodecimal (12) 4036a4

tridecimal (13) 290b06

tetradecimal (14) 1c0d9a

pentadecimal (15) 14bb1a

As an angle

1,001,500° = 2,781 × 360° + 340°

340° ≈ 5.934 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢
Chinese: 一百萬一千五百
Chinese (financial): 壹佰萬壹仟伍佰

In other modern scripts

Eastern Arabic ١٠٠١٥٠٠ Devanagari १००१५०० Bengali ১০০১৫০০ Tamil ௧௦௦௧௫௦௦ Thai ๑๐๐๑๕๐๐ Tibetan ༡༠༠༡༥༠༠ Khmer ១០០១៥០០ Lao ໑໐໐໑໕໐໐ Burmese ၁၀၀၁၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001500, here are decompositions:

41 + 1001459 = 1001500
53 + 1001447 = 1001500
89 + 1001411 = 1001500
113 + 1001387 = 1001500
131 + 1001369 = 1001500
173 + 1001327 = 1001500
179 + 1001321 = 1001500
197 + 1001303 = 1001500

Showing the first eight; more decompositions exist.

Hex color

#0F481C

RGB(15, 72, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.28.

Address: 0.15.72.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.28

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 1,001,500 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 US1,001,500 on Google Patents ↗ Look up on USPTO ↗