7,370,127

3² × 53 × 15451

7,370,127 has digital root 9. The neighboring primes are 7370123 and 7370131; its proper-divisor sum differs from the starting integer by -3,892,950.

Prime Factor Structure

Factorization String 3^2 × 53 × 15451

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,847,304

Proper Divisor Sum 3,477,177

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7370123 ← → #7370131

Radix Representation

Decimal	7370127
Binary	11100000111010110001111 (23 bits)
Octal	0o34072617
Hexadecimal	0x70758F

Divisor Catalog (12)

1 3 9 53 159 477 15,451 46,353 139,059 818,903 2,456,709 7,370,127

Collatz Trajectory (129 steps to reach 1)

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

7,370,127 22,110,382 11,055,191 33,165,574 16,582,787 49,748,362 24,874,181 74,622,544 37,311,272 18,655,636 9,327,818 4,663,909 13,991,728 6,995,864 3,497,932 1,748,966 874,483 2,623,450 1,311,725 3,935,176 1,967,588 983,794 491,897 1,475,692 737,846 368,923 1,106,770 553,385 1,660,156 830,078 415,039 1,245,118 622,559 1,867,678 933,839 2,801,518 1,400,759 4,202,278 2,101,139 6,303,418 3,151,709 9,455,128 4,727,564 2,363,782 1,181,891 3,545,674 1,772,837 5,318,512 2,659,256 1,329,628 664,814 332,407 997,222 498,611 1,495,834 747,917 2,243,752 1,121,876 560,938 280,469

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