Live analysis

1,001,480

1,001,480 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.).

1,001,480 (one million one thousand four hundred eighty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,037. Its proper divisors sum to 1,251,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4808.

Abundant Number Gapful Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,468 1,001,469 1,001,470 1,001,471 1,001,472 1,001,473 1,001,474 1,001,475 1,001,476 1,001,477 1,001,478 1,001,479 1,001,480 1,001,481 1,001,482 1,001,483 1,001,484 1,001,485 1,001,486 1,001,487 1,001,488 1,001,489 1,001,490 1,001,491 1,001,492

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 841,001
Square (n²): 1,002,962,190,400
Cube (n³): 1,004,446,574,441,792,000
Divisor count: 16
σ(n) — sum of divisors: 2,253,420
φ(n) — Euler's totient: 400,576
Sum of prime factors: 25,048

Primality

Prime factorization: 2 ³ × 5 × 25037

Nearest primes: 1,001,467 (−13) · 1,001,491 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25037 · 50074 · 100148 · 125185 · 200296 · 250370 · 500740 (half) · 1001480

Aliquot sum (sum of proper divisors): 1,251,940

Factor pairs (a × b = 1,001,480)

1 × 1001480

2 × 500740

4 × 250370

5 × 200296

8 × 125185

10 × 100148

20 × 50074

40 × 25037

First multiples

1,001,480 · 2,002,960 (double) · 3,004,440 · 4,005,920 · 5,007,400 · 6,008,880 · 7,010,360 · 8,011,840 · 9,013,320 · 10,014,800

Sums & aliquot sequence

As a sum of two squares: 74² + 998² = 658² + 754²

As consecutive integers: 200,294 + 200,295 + 200,296 + 200,297 + 200,298 62,585 + 62,586 + … + 62,600 12,479 + 12,480 + … + 12,558

Aliquot sequence: 1,001,480 → 1,251,940 → 1,377,176 → 1,205,044 → 911,756 → 700,036 → 619,324 → 565,076 → 423,814 → 248,270 → 260,626 → 133,358 → 68,602 → 34,304 → 35,260 → 42,356 → 31,774 — unresolved within range

Continued fraction of √n

√1,001,480 = [1000; (1, 2, 1, 5, 2, 1, 499, 1, 2, 5, 1, 2, 1, 2000)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred eighty
Ordinal: 1001480th
Binary: 11110100100000001000
Octal: 3644010
Hexadecimal: 0xF4808
Base64: D0gI
One's complement: 4,293,965,815 (32-bit)
Scientific notation: 1.00148 × 10⁶
As a duration: 1,001,480 s = 11 days, 14 hours, 11 minutes, 20 seconds

In other bases

ternary (3) 1212212202212

quaternary (4) 3310200020

quinary (5) 224021410

senary (6) 33244252

septenary (7) 11340524

nonary (9) 1785685

undecimal (11) 624477

duodecimal (12) 403688

tridecimal (13) 290abc

tetradecimal (14) 1c0d84

pentadecimal (15) 14bb05

As an angle

1,001,480° = 2,781 × 360° + 320°

320° ≈ 5.585 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千四百八十
Chinese (financial): 壹佰萬壹仟肆佰捌拾

In other modern scripts

Eastern Arabic ١٠٠١٤٨٠ Devanagari १००१४८० Bengali ১০০১৪৮০ Tamil ௧௦௦௧௪௮௦ Thai ๑๐๐๑๔๘๐ Tibetan ༡༠༠༡༤༨༠ Khmer ១០០១៤៨០ Lao ໑໐໐໑໔໘໐ Burmese ၁၀၀၁၄၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001480, here are decompositions:

13 + 1001467 = 1001480
79 + 1001401 = 1001480
127 + 1001353 = 1001480
157 + 1001323 = 1001480
283 + 1001197 = 1001480
307 + 1001173 = 1001480
373 + 1001107 = 1001480
439 + 1001041 = 1001480

Showing the first eight; more decompositions exist.

Hex color

#0F4808

RGB(15, 72, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.8.

Address: 0.15.72.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.8

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 1,001,480 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 US1,001,480 on Google Patents ↗ Look up on USPTO ↗