λ
Harmonic Matrix

4,884,201

32 × 7 × 77527
Deficient Odd Composite

4,884,201 has digital root 9. The neighboring primes are 4884179 and 4884223; its proper-divisor sum differs from the starting integer by -1,705,490.

Prime Factor Structure

Factorization String 3^2 × 7 × 77527
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,062,912
Proper Divisor Sum 3,178,711
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4884179 ← → #4884223

Radix Representation

Decimal 4884201
Binary 10010101000011011101001 (23 bits)
Octal 0o22503351
Hexadecimal 0x4A86E9

Divisor Catalog (12)

1 3 7 9 21 63 77,527 232,581 542,689 697,743 1,628,067 4,884,201

Collatz Trajectory (219 steps to reach 1)

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

4,884,201 14,652,604 7,326,302 3,663,151 10,989,454 5,494,727 16,484,182 8,242,091 24,726,274 12,363,137 37,089,412 18,544,706 9,272,353 27,817,060 13,908,530 6,954,265 20,862,796 10,431,398 5,215,699 15,647,098 7,823,549 23,470,648 11,735,324 5,867,662 2,933,831 8,801,494 4,400,747 13,202,242 6,601,121 19,803,364 9,901,682 4,950,841 14,852,524 7,426,262 3,713,131 11,139,394 5,569,697 16,709,092 8,354,546 4,177,273 12,531,820 6,265,910 3,132,955 9,398,866 4,699,433 14,098,300 7,049,150 3,524,575 10,573,726 5,286,863 15,860,590 7,930,295 23,790,886 11,895,443 35,686,330 17,843,165 53,529,496 26,764,748 13,382,374 6,691,187

More profiles

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