λ
Sigma Notebook

5,579,575

52 × 53 × 4211
Deficient Odd Composite

5,579,575 is odd and not a perfect square. Its factorization is 5^2 × 53 × 4211 and its 12 divisors sum to 7,050,888.

Prime Factor Structure

Factorization String 5^2 × 53 × 4211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,050,888
Proper Divisor Sum 1,471,313
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5579573 ← → #5579579

Radix Representation

Decimal 5579575
Binary 10101010010001100110111 (23 bits)
Octal 0o25221467
Hexadecimal 0x552337

Divisor Catalog (12)

1 5 25 53 265 1,325 4,211 21,055 105,275 223,183 1,115,915 5,579,575

Collatz Trajectory (139 steps to reach 1)

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

5,579,575 16,738,726 8,369,363 25,108,090 12,554,045 37,662,136 18,831,068 9,415,534 4,707,767 14,123,302 7,061,651 21,184,954 10,592,477 31,777,432 15,888,716 7,944,358 3,972,179 11,916,538 5,958,269 17,874,808 8,937,404 4,468,702 2,234,351 6,703,054 3,351,527 10,054,582 5,027,291 15,081,874 7,540,937 22,622,812 11,311,406 5,655,703 16,967,110 8,483,555 25,450,666 12,725,333 38,176,000 19,088,000 9,544,000 4,772,000 2,386,000 1,193,000 596,500 298,250 149,125 447,376 223,688 111,844 55,922 27,961 83,884 41,942 20,971 62,914 31,457 94,372 47,186 23,593 70,780 35,390

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