3,657,568

2⁵ × 114299

Starting at 3,657,568, the Collatz iteration reaches 1 after 203 steps. The first transition is 1828784; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 114299

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,200,900

Proper Divisor Sum 3,543,332

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3657547 ← → #3657571

Radix Representation

Decimal	3657568
Binary	1101111100111101100000 (22 bits)
Octal	0o15747540
Hexadecimal	0x37CF60

Divisor Catalog (12)

1 2 4 8 16 32 114,299 228,598 457,196 914,392 1,828,784 3,657,568

Collatz Trajectory (203 steps to reach 1)

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

3,657,568 1,828,784 914,392 457,196 228,598 114,299 342,898 171,449 514,348 257,174 128,587 385,762 192,881 578,644 289,322 144,661 433,984 216,992 108,496 54,248 27,124 13,562 6,781 20,344 10,172 5,086 2,543 7,630 3,815 11,446 5,723 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218

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