1,303,549

13 × 197 × 509

Starting at 1,303,549, the Collatz iteration reaches 1 after 248 steps. The first transition is 3910648; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 197 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,413,720

Proper Divisor Sum 110,171

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1303541 ← → #1303553

Radix Representation

Decimal	1303549
Binary	100111110001111111101 (21 bits)
Octal	0o4761775
Hexadecimal	0x13E3FD

Divisor Catalog (8)

1 13 197 509 2,561 6,617 100,273 1,303,549

Collatz Trajectory (248 steps to reach 1)

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

1,303,549 3,910,648 1,955,324 977,662 488,831 1,466,494 733,247 2,199,742 1,099,871 3,299,614 1,649,807 4,949,422 2,474,711 7,424,134 3,712,067 11,136,202 5,568,101 16,704,304 8,352,152 4,176,076 2,088,038 1,044,019 3,132,058 1,566,029 4,698,088 2,349,044 1,174,522 587,261 1,761,784 880,892 440,446 220,223 660,670 330,335 991,006 495,503 1,486,510 743,255 2,229,766 1,114,883 3,344,650 1,672,325 5,016,976 2,508,488 1,254,244 627,122 313,561 940,684 470,342 235,171 705,514 352,757 1,058,272 529,136 264,568 132,284 66,142 33,071 99,214 49,607

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