7,297,588

2² × 1824397

Starting at 7,297,588, the Collatz iteration reaches 1 after 59 steps. The first transition is 3648794; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1824397

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,770,786

Proper Divisor Sum 5,473,198

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7297583 ← → #7297603

Radix Representation

Decimal	7297588
Binary	11011110101101000110100 (23 bits)
Octal	0o33655064
Hexadecimal	0x6F5A34

Divisor Catalog (6)

1 2 4 1,824,397 3,648,794 7,297,588

Collatz Trajectory (59 steps to reach 1)

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

7,297,588 3,648,794 1,824,397 5,473,192 2,736,596 1,368,298 684,149 2,052,448 1,026,224 513,112 256,556 128,278 64,139 192,418 96,209 288,628 144,314 72,157 216,472 108,236 54,118 27,059 81,178 40,589 121,768 60,884 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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