λ
Prime Ledger

5,561,625

3 × 53 × 14831
Deficient Odd Composite

5,561,625 has the prime decomposition 3 × 5^3 × 14831. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^3 × 14831
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,255,168
Proper Divisor Sum 3,693,543
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5561599 ← → #5561627

Radix Representation

Decimal 5561625
Binary 10101001101110100011001 (23 bits)
Octal 0o25156431
Hexadecimal 0x54DD19

Divisor Catalog (16)

1 3 5 15 25 75 125 375 14,831 44,493 74,155 222,465 370,775 1,112,325 1,853,875 5,561,625

Collatz Trajectory (183 steps to reach 1)

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

5,561,625 16,684,876 8,342,438 4,171,219 12,513,658 6,256,829 18,770,488 9,385,244 4,692,622 2,346,311 7,038,934 3,519,467 10,558,402 5,279,201 15,837,604 7,918,802 3,959,401 11,878,204 5,939,102 2,969,551 8,908,654 4,454,327 13,362,982 6,681,491 20,044,474 10,022,237 30,066,712 15,033,356 7,516,678 3,758,339 11,275,018 5,637,509 16,912,528 8,456,264 4,228,132 2,114,066 1,057,033 3,171,100 1,585,550 792,775 2,378,326 1,189,163 3,567,490 1,783,745 5,351,236 2,675,618 1,337,809 4,013,428 2,006,714 1,003,357 3,010,072 1,505,036 752,518 376,259 1,128,778 564,389 1,693,168 846,584 423,292 211,646

More profiles

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