7,373,115

3² × 5 × 163847

Starting at 7,373,115, the Collatz iteration reaches 1 after 204 steps. The first transition is 22119346; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 163847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,780,144

Proper Divisor Sum 5,407,029

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7373099 ← → #7373123

Radix Representation

Decimal	7373115
Binary	11100001000000100111011 (23 bits)
Octal	0o34100473
Hexadecimal	0x70813B

Divisor Catalog (12)

1 3 5 9 15 45 163,847 491,541 819,235 1,474,623 2,457,705 7,373,115

Collatz Trajectory (204 steps to reach 1)

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

7,373,115 22,119,346 11,059,673 33,179,020 16,589,510 8,294,755 24,884,266 12,442,133 37,326,400 18,663,200 9,331,600 4,665,800 2,332,900 1,166,450 583,225 1,749,676 874,838 437,419 1,312,258 656,129 1,968,388 984,194 492,097 1,476,292 738,146 369,073 1,107,220 553,610 276,805 830,416 415,208 207,604 103,802 51,901 155,704 77,852 38,926 19,463 58,390 29,195 87,586 43,793 131,380 65,690 32,845 98,536 49,268 24,634 12,317 36,952 18,476 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796

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