719,278

2 × 7 × 83 × 619

Starting at 719,278, the Collatz iteration reaches 1 after 167 steps. The first transition is 359639; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 83 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,249,920

Proper Divisor Sum 530,642

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #719267 ← → #719281

Radix Representation

Decimal	719278
Binary	10101111100110101110 (20 bits)
Octal	0o2574656
Hexadecimal	0xAF9AE

Divisor Catalog (16)

1 2 7 14 83 166 581 619 1,162 1,238 4,333 8,666 51,377 102,754 359,639 719,278

Collatz Trajectory (167 steps to reach 1)

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

719,278 359,639 1,078,918 539,459 1,618,378 809,189 2,427,568 1,213,784 606,892 303,446 151,723 455,170 227,585 682,756 341,378 170,689 512,068 256,034 128,017 384,052 192,026 96,013 288,040 144,020 72,010 36,005 108,016 54,008 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564

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