Live analysis

1,003,420

1,003,420 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.).

1,003,420 (one million three thousand four hundred twenty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 11 × 4,561. Its proper divisors sum to 1,295,828, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4F9C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,003,408 1,003,409 1,003,410 1,003,411 1,003,412 1,003,413 1,003,414 1,003,415 1,003,416 1,003,417 1,003,418 1,003,419 1,003,420 1,003,421 1,003,422 1,003,423 1,003,424 1,003,425 1,003,426 1,003,427 1,003,428 1,003,429 1,003,430 1,003,431 1,003,432

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 243,001
Square (n²): 1,006,851,696,400
Cube (n³): 1,010,295,129,201,688,000
Divisor count: 24
σ(n) — sum of divisors: 2,299,248
φ(n) — Euler's totient: 364,800
Sum of prime factors: 4,581

Primality

Prime factorization: 2 ² × 5 × 11 × 4561

Nearest primes: 1,003,417 (−3) · 1,003,433 (+13)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 11 · 20 · 22 · 44 · 55 · 110 · 220 · 4561 · 9122 · 18244 · 22805 · 45610 · 50171 · 91220 · 100342 · 200684 · 250855 · 501710 (half) · 1003420

Aliquot sum (sum of proper divisors): 1,295,828

Factor pairs (a × b = 1,003,420)

1 × 1003420

2 × 501710

4 × 250855

5 × 200684

10 × 100342

11 × 91220

20 × 50171

22 × 45610

44 × 22805

55 × 18244

110 × 9122

220 × 4561

First multiples

1,003,420 · 2,006,840 (double) · 3,010,260 · 4,013,680 · 5,017,100 · 6,020,520 · 7,023,940 · 8,027,360 · 9,030,780 · 10,034,200

Sums & aliquot sequence

As consecutive integers: 200,682 + 200,683 + 200,684 + 200,685 + 200,686 125,424 + 125,425 + … + 125,431 91,215 + 91,216 + … + 91,225 25,066 + 25,067 + … + 25,105

Aliquot sequence: 1,003,420 → 1,295,828 → 971,878 → 496,994 → 265,966 → 138,818 → 76,222 → 43,154 → 21,580 → 27,812 → 23,848 → 25,112 → 23,728 → 22,276 → 16,714 → 8,954 → 6,208 — unresolved within range

Continued fraction of √n

√1,003,420 = [1001; (1, 2, 2, 3, 8, 11, 105, 2, 1, 4, 1, 23, 1, 10, 9, 5, 2, 3, 1, 1, 1, 3, 1, 3, …)]

Representations

In words: one million three thousand four hundred twenty
Ordinal: 1003420th
Binary: 11110100111110011100
Octal: 3647634
Hexadecimal: 0xF4F9C
Base64: D0+c
One's complement: 4,293,963,875 (32-bit)
Scientific notation: 1.00342 × 10⁶
As a duration: 1,003,420 s = 11 days, 14 hours, 43 minutes, 40 seconds

In other bases

ternary (3) 1212222102201

quaternary (4) 3310332130

quinary (5) 224102140

senary (6) 33301244

septenary (7) 11346265

nonary (9) 1788381

undecimal (11) 625980

duodecimal (12) 404824

tridecimal (13) 291952

tetradecimal (14) 1c196c

pentadecimal (15) 14c49a

As an angle

1,003,420° = 2,787 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬三千四百二十
Chinese (financial): 壹佰萬參仟肆佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٣٤٢٠ Devanagari १००३४२० Bengali ১০০৩৪২০ Tamil ௧௦௦௩௪௨௦ Thai ๑๐๐๓๔๒๐ Tibetan ༡༠༠༣༤༢༠ Khmer ១០០៣៤២០ Lao ໑໐໐໓໔໒໐ Burmese ၁၀၀၃၄၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003420, here are decompositions:

3 + 1003417 = 1003420
23 + 1003397 = 1003420
53 + 1003367 = 1003420
59 + 1003361 = 1003420
71 + 1003349 = 1003420
83 + 1003337 = 1003420
113 + 1003307 = 1003420
179 + 1003241 = 1003420

Showing the first eight; more decompositions exist.

Hex color

#0F4F9C

RGB(15, 79, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.156.

Address: 0.15.79.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.156

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 1,003,420 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 US1,003,420 on Google Patents ↗ Look up on USPTO ↗