3,907,107

3² × 53 × 8191

3,907,107 factors as 3^2 × 53 × 8191. Its 12 positive divisors give a proper-divisor sum of 1,843,677, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 53 × 8191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,750,784

Proper Divisor Sum 1,843,677

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3907097 ← → #3907121

Radix Representation

Decimal	3907107
Binary	1110111001111000100011 (22 bits)
Octal	0o16717043
Hexadecimal	0x3B9E23

Divisor Catalog (12)

1 3 9 53 159 477 8,191 24,573 73,719 434,123 1,302,369 3,907,107

Collatz Trajectory (123 steps to reach 1)

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

3,907,107 11,721,322 5,860,661 17,581,984 8,790,992 4,395,496 2,197,748 1,098,874 549,437 1,648,312 824,156 412,078 206,039 618,118 309,059 927,178 463,589 1,390,768 695,384 347,692 173,846 86,923 260,770 130,385 391,156 195,578 97,789 293,368 146,684 73,342 36,671 110,014 55,007 165,022 82,511 247,534 123,767 371,302 185,651 556,954 278,477 835,432 417,716 208,858 104,429 313,288 156,644 78,322 39,161 117,484 58,742 29,371 88,114 44,057 132,172 66,086 33,043 99,130 49,565 148,696

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