7,616,035

5 × 7 × 167 × 1303

Starting at 7,616,035, the Collatz iteration reaches 1 after 155 steps. The first transition is 22848106; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 167 × 1303

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,515,456

Proper Divisor Sum 2,899,421

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7616027 ← → #7616039

Radix Representation

Decimal	7616035
Binary	11101000011011000100011 (23 bits)
Octal	0o35033043
Hexadecimal	0x743623

Divisor Catalog (16)

1 5 7 35 167 835 1,169 1,303 5,845 6,515 9,121 45,605 217,601 1,088,005 1,523,207 7,616,035

Collatz Trajectory (155 steps to reach 1)

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

7,616,035 22,848,106 11,424,053 34,272,160 17,136,080 8,568,040 4,284,020 2,142,010 1,071,005 3,213,016 1,606,508 803,254 401,627 1,204,882 602,441 1,807,324 903,662 451,831 1,355,494 677,747 2,033,242 1,016,621 3,049,864 1,524,932 762,466 381,233 1,143,700 571,850 285,925 857,776 428,888 214,444 107,222 53,611 160,834 80,417 241,252 120,626 60,313 180,940 90,470 45,235 135,706 67,853 203,560 101,780 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342

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