λ
Sequence Observatory

3,597,396

22 × 3 × 11 × 27253
Abundant Even Composite

Starting at 3,597,396, the Collatz iteration reaches 1 after 203 steps. The first transition is 1798698; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 27253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,157,344
Proper Divisor Sum 5,559,948
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3597389 ← → #3597397

Radix Representation

Decimal 3597396
Binary 1101101110010001010100 (22 bits)
Octal 0o15562124
Hexadecimal 0x36E454

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 27,253 54,506 81,759 109,012 163,518 299,783 327,036 599,566 899,349 1,199,132 1,798,698 3,597,396

Collatz Trajectory (203 steps to reach 1)

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

3,597,396 1,798,698 899,349 2,698,048 1,349,024 674,512 337,256 168,628 84,314 42,157 126,472 63,236 31,618 15,809 47,428 23,714 11,857 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841

More profiles

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