λ
Harmonic Matrix

4,785,002

2 × 2392501
Deficient Even Composite

4,785,002 has digital root 8. The neighboring primes are 4784963 and 4785031; its proper-divisor sum differs from the starting integer by -2,392,498.

Prime Factor Structure

Factorization String 2 × 2392501
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,177,506
Proper Divisor Sum 2,392,504
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4784963 ← → #4785031

Radix Representation

Decimal 4785002
Binary 10010010000001101101010 (23 bits)
Octal 0o22201552
Hexadecimal 0x49036A

Divisor Catalog (4)

1 2 2,392,501 4,785,002

Collatz Trajectory (100 steps to reach 1)

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

4,785,002 2,392,501 7,177,504 3,588,752 1,794,376 897,188 448,594 224,297 672,892 336,446 168,223 504,670 252,335 757,006 378,503 1,135,510 567,755 1,703,266 851,633 2,554,900 1,277,450 638,725 1,916,176 958,088 479,044 239,522 119,761 359,284 179,642 89,821 269,464 134,732 67,366 33,683 101,050 50,525 151,576 75,788 37,894 18,947 56,842 28,421 85,264 42,632 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062

More profiles

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