λ
Sequence Observatory

5,608,772

22 × 132 × 8297
Deficient Even Composite

Starting at 5,608,772, the Collatz iteration reaches 1 after 108 steps. The first transition is 2804386; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 8297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 10,629,738
Proper Divisor Sum 5,020,966
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5608769 ← → #5608783

Radix Representation

Decimal 5608772
Binary 10101011001010101000100 (23 bits)
Octal 0o25312504
Hexadecimal 0x559544

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 8,297 16,594 33,188 107,861 215,722 431,444 1,402,193 2,804,386 5,608,772

Collatz Trajectory (108 steps to reach 1)

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

5,608,772 2,804,386 1,402,193 4,206,580 2,103,290 1,051,645 3,154,936 1,577,468 788,734 394,367 1,183,102 591,551 1,774,654 887,327 2,661,982 1,330,991 3,992,974 1,996,487 5,989,462 2,994,731 8,984,194 4,492,097 13,476,292 6,738,146 3,369,073 10,107,220 5,053,610 2,526,805 7,580,416 3,790,208 1,895,104 947,552 473,776 236,888 118,444 59,222 29,611 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906 3,953 11,860 5,930

More profiles

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