7,623,605

5 × 11² × 12601

Starting at 7,623,605, the Collatz iteration reaches 1 after 80 steps. The first transition is 22870816; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 11^2 × 12601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,056,396

Proper Divisor Sum 2,432,791

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7623593 ← → #7623611

Radix Representation

Decimal	7623605
Binary	11101000101001110110101 (23 bits)
Octal	0o35051665
Hexadecimal	0x7453B5

Divisor Catalog (12)

1 5 11 55 121 605 12,601 63,005 138,611 693,055 1,524,721 7,623,605

Collatz Trajectory (80 steps to reach 1)

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

7,623,605 22,870,816 11,435,408 5,717,704 2,858,852 1,429,426 714,713 2,144,140 1,072,070 536,035 1,608,106 804,053 2,412,160 1,206,080 603,040 301,520 150,760 75,380 37,690 18,845 56,536 28,268 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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