7,278,572

2² × 7 × 259949

Starting at 7,278,572, the Collatz iteration reaches 1 after 160 steps. The first transition is 3639286; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 259949

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,557,200

Proper Divisor Sum 7,278,628

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7278571 ← → #7278587

Radix Representation

Decimal	7278572
Binary	11011110000111111101100 (23 bits)
Octal	0o33607754
Hexadecimal	0x6F0FEC

Divisor Catalog (12)

1 2 4 7 14 28 259,949 519,898 1,039,796 1,819,643 3,639,286 7,278,572

Collatz Trajectory (160 steps to reach 1)

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

7,278,572 3,639,286 1,819,643 5,458,930 2,729,465 8,188,396 4,094,198 2,047,099 6,141,298 3,070,649 9,211,948 4,605,974 2,302,987 6,908,962 3,454,481 10,363,444 5,181,722 2,590,861 7,772,584 3,886,292 1,943,146 971,573 2,914,720 1,457,360 728,680 364,340 182,170 91,085 273,256 136,628 68,314 34,157 102,472 51,236 25,618 12,809 38,428 19,214 9,607 28,822 14,411 43,234 21,617 64,852 32,426 16,213 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215

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