7,259,526

2 × 3² × 47 × 8581

Starting at 7,259,526, the Collatz iteration reaches 1 after 147 steps. The first transition is 3629763; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 8581

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,065,504

Proper Divisor Sum 8,805,978

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7259519 ← → #7259533

Radix Representation

Decimal	7259526
Binary	11011101100010110000110 (23 bits)
Octal	0o33542606
Hexadecimal	0x6EC586

Divisor Catalog (24)

1 2 3 6 9 18 47 94 141 282 423 846 8,581 17,162 25,743 51,486 77,229 154,458 403,307 806,614 1,209,921 2,419,842 3,629,763 7,259,526

Collatz Trajectory (147 steps to reach 1)

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

7,259,526 3,629,763 10,889,290 5,444,645 16,333,936 8,166,968 4,083,484 2,041,742 1,020,871 3,062,614 1,531,307 4,593,922 2,296,961 6,890,884 3,445,442 1,722,721 5,168,164 2,584,082 1,292,041 3,876,124 1,938,062 969,031 2,907,094 1,453,547 4,360,642 2,180,321 6,540,964 3,270,482 1,635,241 4,905,724 2,452,862 1,226,431 3,679,294 1,839,647 5,518,942 2,759,471 8,278,414 4,139,207 12,417,622 6,208,811 18,626,434 9,313,217 27,939,652 13,969,826 6,984,913 20,954,740 10,477,370 5,238,685 15,716,056 7,858,028 3,929,014 1,964,507 5,893,522 2,946,761 8,840,284 4,420,142 2,210,071 6,630,214 3,315,107 9,945,322

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