4,610,546

2 × 43 × 53611

Starting at 4,610,546, the Collatz iteration reaches 1 after 193 steps. The first transition is 2305273; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 43 × 53611

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,076,784

Proper Divisor Sum 2,466,238

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4610531 ← → #4610569

Radix Representation

Decimal	4610546
Binary	10001100101100111110010 (23 bits)
Octal	0o21454762
Hexadecimal	0x4659F2

Divisor Catalog (8)

1 2 43 86 53,611 107,222 2,305,273 4,610,546

Collatz Trajectory (193 steps to reach 1)

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

4,610,546 2,305,273 6,915,820 3,457,910 1,728,955 5,186,866 2,593,433 7,780,300 3,890,150 1,945,075 5,835,226 2,917,613 8,752,840 4,376,420 2,188,210 1,094,105 3,282,316 1,641,158 820,579 2,461,738 1,230,869 3,692,608 1,846,304 923,152 461,576 230,788 115,394 57,697 173,092 86,546 43,273 129,820 64,910 32,455 97,366 48,683 146,050 73,025 219,076 109,538 54,769 164,308 82,154 41,077 123,232 61,616 30,808 15,404 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876

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