6,527,749

107 × 61007

Starting at 6,527,749, the Collatz iteration reaches 1 after 116 steps. The first transition is 19583248; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 107 × 61007

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,588,864

Proper Divisor Sum 61,115

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6527737 ← → #6527789

Radix Representation

Decimal	6527749
Binary	11000111001101100000101 (23 bits)
Octal	0o30715405
Hexadecimal	0x639B05

Divisor Catalog (4)

1 107 61,007 6,527,749

Collatz Trajectory (116 steps to reach 1)

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

6,527,749 19,583,248 9,791,624 4,895,812 2,447,906 1,223,953 3,671,860 1,835,930 917,965 2,753,896 1,376,948 688,474 344,237 1,032,712 516,356 258,178 129,089 387,268 193,634 96,817 290,452 145,226 72,613 217,840 108,920 54,460 27,230 13,615 40,846 20,423 61,270 30,635 91,906 45,953 137,860 68,930 34,465 103,396 51,698 25,849 77,548 38,774 19,387 58,162 29,081 87,244 43,622 21,811 65,434 32,717 98,152 49,076 24,538 12,269 36,808 18,404 9,202 4,601 13,804 6,902

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