Live analysis

1,013,500

1,013,500 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.).

1,013,500 (one million thirteen thousand five hundred) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 5³ × 2,027. Its proper divisors sum to 1,201,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76FC.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,488 1,013,489 1,013,490 1,013,491 1,013,492 1,013,493 1,013,494 1,013,495 1,013,496 1,013,497 1,013,498 1,013,499 1,013,500 1,013,501 1,013,502 1,013,503 1,013,504 1,013,505 1,013,506 1,013,507 1,013,508 1,013,509 1,013,510 1,013,511 1,013,512

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 53,101
Square (n²): 1,027,182,250,000
Cube (n³): 1,041,049,210,375,000,000
Divisor count: 24
σ(n) — sum of divisors: 2,214,576
φ(n) — Euler's totient: 405,200
Sum of prime factors: 2,046

Primality

Prime factorization: 2 ² × 5 ³ × 2027

Nearest primes: 1,013,477 (−23) · 1,013,501 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 5 · 10 · 20 · 25 · 50 · 100 · 125 · 250 · 500 · 2027 · 4054 · 8108 · 10135 · 20270 · 40540 · 50675 · 101350 · 202700 · 253375 · 506750 (half) · 1013500

Aliquot sum (sum of proper divisors): 1,201,076

Factor pairs (a × b = 1,013,500)

1 × 1013500

2 × 506750

4 × 253375

5 × 202700

10 × 101350

20 × 50675

25 × 40540

50 × 20270

100 × 10135

125 × 8108

250 × 4054

500 × 2027

First multiples

1,013,500 · 2,027,000 (double) · 3,040,500 · 4,054,000 · 5,067,500 · 6,081,000 · 7,094,500 · 8,108,000 · 9,121,500 · 10,135,000

Sums & aliquot sequence

As consecutive integers: 202,698 + 202,699 + 202,700 + 202,701 + 202,702 126,684 + 126,685 + … + 126,691 40,528 + 40,529 + … + 40,552 25,318 + 25,319 + … + 25,357

Aliquot sequence: 1,013,500 → 1,201,076 → 949,996 → 719,364 → 974,524 → 730,900 → 855,370 → 751,670 → 601,354 → 383,966 → 265,762 → 201,950 → 228,082 → 114,044 → 114,100 → 170,604 → 322,980 — unresolved within range

Continued fraction of √n

√1,013,500 = [1006; (1, 2, 1, 2, 83, 1, 1, 7, 1, 2, 1, 55, 5, 2, 1, 5, 1, 1, 8, 1, 3, 1, 1, 3, …)]

Representations

In words: one million thirteen thousand five hundred
Ordinal: 1013500th
Binary: 11110111011011111100
Octal: 3673374
Hexadecimal: 0xF76FC
Base64: D3b8
One's complement: 4,293,953,795 (32-bit)
Scientific notation: 1.0135 × 10⁶
As a duration: 1,013,500 s = 11 days, 17 hours, 31 minutes, 40 seconds

In other bases

ternary (3) 1220111021001

quaternary (4) 3313123330

quinary (5) 224413000

senary (6) 33420044

septenary (7) 11420545

nonary (9) 1814231

undecimal (11) 632504

duodecimal (12) 40a624

tridecimal (13) 296407

tetradecimal (14) 1c54cc

pentadecimal (15) 15046a

As an angle

1,013,500° = 2,815 × 360° + 100°

100° ≈ 1.745 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢
Chinese: 一百零一萬三千五百
Chinese (financial): 壹佰零壹萬參仟伍佰

In other modern scripts

Eastern Arabic ١٠١٣٥٠٠ Devanagari १०१३५०० Bengali ১০১৩৫০০ Tamil ௧௦௧௩௫௦௦ Thai ๑๐๑๓๕๐๐ Tibetan ༡༠༡༣༥༠༠ Khmer ១០១៣៥០០ Lao ໑໐໑໓໕໐໐ Burmese ၁၀၁၃၅၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013500, here are decompositions:

23 + 1013477 = 1013500
29 + 1013471 = 1013500
71 + 1013429 = 1013500
101 + 1013399 = 1013500
179 + 1013321 = 1013500
233 + 1013267 = 1013500
251 + 1013249 = 1013500
263 + 1013237 = 1013500

Showing the first eight; more decompositions exist.

Hex color

#0F76FC

RGB(15, 118, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.252.

Address: 0.15.118.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.252

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3500 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3500-10-01 (MMDYYYY (US, single-digit day))
3500-01-10 (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 1,013,500 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 US1,013,500 on Google Patents ↗ Look up on USPTO ↗