λ
Harmonic Matrix

8,203,002

2 × 3 × 1367167
Abundant Even Composite

8,203,002 has digital root 6. The neighboring primes are 8203001 and 8203021; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1367167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,406,016
Proper Divisor Sum 8,203,014
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #8203001 ← → #8203021

Radix Representation

Decimal 8203002
Binary 11111010010101011111010 (23 bits)
Octal 0o37225372
Hexadecimal 0x7D2AFA

Divisor Catalog (8)

1 2 3 6 1,367,167 2,734,334 4,101,501 8,203,002

Collatz Trajectory (217 steps to reach 1)

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

8,203,002 4,101,501 12,304,504 6,152,252 3,076,126 1,538,063 4,614,190 2,307,095 6,921,286 3,460,643 10,381,930 5,190,965 15,572,896 7,786,448 3,893,224 1,946,612 973,306 486,653 1,459,960 729,980 364,990 182,495 547,486 273,743 821,230 410,615 1,231,846 615,923 1,847,770 923,885 2,771,656 1,385,828 692,914 346,457 1,039,372 519,686 259,843 779,530 389,765 1,169,296 584,648 292,324 146,162 73,081 219,244 109,622 54,811 164,434 82,217 246,652 123,326 61,663 184,990 92,495 277,486 138,743 416,230 208,115 624,346 312,173

More profiles

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