λ
Harmonic Matrix

8,236,002

2 × 3 × 1372667
Abundant Even Composite

8,236,002 has digital root 3. The neighboring primes are 8235991 and 8236003; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1372667
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,472,016
Proper Divisor Sum 8,236,014
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #8235991 ← → #8236003

Radix Representation

Decimal 8236002
Binary 11111011010101111100010 (23 bits)
Octal 0o37325742
Hexadecimal 0x7DABE2

Divisor Catalog (8)

1 2 3 6 1,372,667 2,745,334 4,118,001 8,236,002

Collatz Trajectory (261 steps to reach 1)

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

8,236,002 4,118,001 12,354,004 6,177,002 3,088,501 9,265,504 4,632,752 2,316,376 1,158,188 579,094 289,547 868,642 434,321 1,302,964 651,482 325,741 977,224 488,612 244,306 122,153 366,460 183,230 91,615 274,846 137,423 412,270 206,135 618,406 309,203 927,610 463,805 1,391,416 695,708 347,854 173,927 521,782 260,891 782,674 391,337 1,174,012 587,006 293,503 880,510 440,255 1,320,766 660,383 1,981,150 990,575 2,971,726 1,485,863 4,457,590 2,228,795 6,686,386 3,343,193 10,029,580 5,014,790 2,507,395 7,522,186 3,761,093 11,283,280

More profiles

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