1,000,314

2 × 3² × 7 × 17 × 467

1,000,314 has the prime decomposition 2 × 3^2 × 7 × 17 × 467. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 467

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,628,288

Proper Divisor Sum 1,627,974

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #1000313 ← → #1000333

Radix Representation

Decimal	1000314
Binary	11110100001101111010 (20 bits)
Octal	0o3641572
Hexadecimal	0xF437A

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 467 714 934 1,071 1,401 2,142 2,802 3,269 4,203 6,538 7,939 8,406 9,807 15,878 19,614 23,817 29,421 47,634 55,573 58,842 71,451 111,146 142,902 166,719 333,438 500,157 1,000,314

Collatz Trajectory (139 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,000,314 500,157 1,500,472 750,236 375,118 187,559 562,678 281,339 844,018 422,009 1,266,028 633,014 316,507 949,522 474,761 1,424,284 712,142 356,071 1,068,214 534,107 1,602,322 801,161 2,403,484 1,201,742 600,871 1,802,614 901,307 2,703,922 1,351,961 4,055,884 2,027,942 1,013,971 3,041,914 1,520,957 4,562,872 2,281,436 1,140,718 570,359 1,711,078 855,539 2,566,618 1,283,309 3,849,928 1,924,964 962,482 481,241 1,443,724 721,862 360,931 1,082,794 541,397 1,624,192 812,096 406,048 203,024 101,512 50,756 25,378 12,689 38,068

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