λ
Harmonic Matrix

8,749,002

2 × 3 × 1458167
Abundant Even Composite

8,749,002 has digital root 3. The neighboring primes are 8749001 and 8749007; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 1458167
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,498,016
Proper Divisor Sum 8,749,014
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8749001 ← → #8749007

Radix Representation

Decimal 8749002
Binary 100001010111111111001010 (24 bits)
Octal 0o41277712
Hexadecimal 0x857FCA

Divisor Catalog (8)

1 2 3 6 1,458,167 2,916,334 4,374,501 8,749,002

Collatz Trajectory (212 steps to reach 1)

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

8,749,002 4,374,501 13,123,504 6,561,752 3,280,876 1,640,438 820,219 2,460,658 1,230,329 3,690,988 1,845,494 922,747 2,768,242 1,384,121 4,152,364 2,076,182 1,038,091 3,114,274 1,557,137 4,671,412 2,335,706 1,167,853 3,503,560 1,751,780 875,890 437,945 1,313,836 656,918 328,459 985,378 492,689 1,478,068 739,034 369,517 1,108,552 554,276 277,138 138,569 415,708 207,854 103,927 311,782 155,891 467,674 233,837 701,512 350,756 175,378 87,689 263,068 131,534 65,767 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950

More profiles

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