7,461,456

2⁴ × 3 × 359 × 433

Starting at 7,461,456, the Collatz iteration reaches 1 after 111 steps. The first transition is 3730728; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 359 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 19,373,760

Proper Divisor Sum 11,912,304

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7461401 ← → #7461469

Radix Representation

Decimal	7461456
Binary	11100011101101001010000 (23 bits)
Octal	0o34355120
Hexadecimal	0x71DA50

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 359 433 718 866 1,077 1,299 1,436 1,732 2,154 2,598 2,872 3,464 4,308 5,196 5,744 6,928 8,616 10,392 17,232 20,784 155,447 310,894 466,341 621,788 932,682 1,243,576 1,865,364 2,487,152 3,730,728 7,461,456

Collatz Trajectory (111 steps to reach 1)

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

7,461,456 3,730,728 1,865,364 932,682 466,341 1,399,024 699,512 349,756 174,878 87,439 262,318 131,159 393,478 196,739 590,218 295,109 885,328 442,664 221,332 110,666 55,333 166,000 83,000 41,500 20,750 10,375 31,126 15,563 46,690 23,345 70,036 35,018 17,509 52,528 26,264 13,132 6,566 3,283 9,850 4,925 14,776 7,388 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316

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