7,609,354

2 × 41 × 71 × 1307

Starting at 7,609,354, the Collatz iteration reaches 1 after 80 steps. The first transition is 3804677; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 71 × 1307

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,866,176

Proper Divisor Sum 4,256,822

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7609337 ← → #7609373

Radix Representation

Decimal	7609354
Binary	11101000001110000001010 (23 bits)
Octal	0o35016012
Hexadecimal	0x741C0A

Divisor Catalog (16)

1 2 41 71 82 142 1,307 2,614 2,911 5,822 53,587 92,797 107,174 185,594 3,804,677 7,609,354

Collatz Trajectory (80 steps to reach 1)

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

7,609,354 3,804,677 11,414,032 5,707,016 2,853,508 1,426,754 713,377 2,140,132 1,070,066 535,033 1,605,100 802,550 401,275 1,203,826 601,913 1,805,740 902,870 451,435 1,354,306 677,153 2,031,460 1,015,730 507,865 1,523,596 761,798 380,899 1,142,698 571,349 1,714,048 857,024 428,512 214,256 107,128 53,564 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224

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