7,325,456

2⁴ × 353 × 1297

Starting at 7,325,456, the Collatz iteration reaches 1 after 85 steps. The first transition is 3662728; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 353 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,244,252

Proper Divisor Sum 6,918,796

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7325449 ← → #7325459

Radix Representation

Decimal	7325456
Binary	11011111100011100010000 (23 bits)
Octal	0o33743420
Hexadecimal	0x6FC710

Divisor Catalog (20)

1 2 4 8 16 353 706 1,297 1,412 2,594 2,824 5,188 5,648 10,376 20,752 457,841 915,682 1,831,364 3,662,728 7,325,456

Collatz Trajectory (85 steps to reach 1)

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

7,325,456 3,662,728 1,831,364 915,682 457,841 1,373,524 686,762 343,381 1,030,144 515,072 257,536 128,768 64,384 32,192 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

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