1,619,007

3 × 13 × 41513

Starting at 1,619,007, the Collatz iteration reaches 1 after 207 steps. The first transition is 4857022; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 41513

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,324,784

Proper Divisor Sum 705,777

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1618979 ← → #1619021

Radix Representation

Decimal	1619007
Binary	110001011010000111111 (21 bits)
Octal	0o6132077
Hexadecimal	0x18B43F

Divisor Catalog (8)

1 3 13 39 41,513 124,539 539,669 1,619,007

Collatz Trajectory (207 steps to reach 1)

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

1,619,007 4,857,022 2,428,511 7,285,534 3,642,767 10,928,302 5,464,151 16,392,454 8,196,227 24,588,682 12,294,341 36,883,024 18,441,512 9,220,756 4,610,378 2,305,189 6,915,568 3,457,784 1,728,892 864,446 432,223 1,296,670 648,335 1,945,006 972,503 2,917,510 1,458,755 4,376,266 2,188,133 6,564,400 3,282,200 1,641,100 820,550 410,275 1,230,826 615,413 1,846,240 923,120 461,560 230,780 115,390 57,695 173,086 86,543 259,630 129,815 389,446 194,723 584,170 292,085 876,256 438,128 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613

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