6,497,547

3 × 7² × 44201

Starting at 6,497,547, the Collatz iteration reaches 1 after 152 steps. The first transition is 19492642; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 44201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,078,056

Proper Divisor Sum 3,580,509

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6497539 ← → #6497581

Radix Representation

Decimal	6497547
Binary	11000110010010100001011 (23 bits)
Octal	0o30622413
Hexadecimal	0x63250B

Divisor Catalog (12)

1 3 7 21 49 147 44,201 132,603 309,407 928,221 2,165,849 6,497,547

Collatz Trajectory (152 steps to reach 1)

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

6,497,547 19,492,642 9,746,321 29,238,964 14,619,482 7,309,741 21,929,224 10,964,612 5,482,306 2,741,153 8,223,460 4,111,730 2,055,865 6,167,596 3,083,798 1,541,899 4,625,698 2,312,849 6,938,548 3,469,274 1,734,637 5,203,912 2,601,956 1,300,978 650,489 1,951,468 975,734 487,867 1,463,602 731,801 2,195,404 1,097,702 548,851 1,646,554 823,277 2,469,832 1,234,916 617,458 308,729 926,188 463,094 231,547 694,642 347,321 1,041,964 520,982 260,491 781,474 390,737 1,172,212 586,106 293,053 879,160 439,580 219,790 109,895 329,686 164,843 494,530 247,265

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