7,023,872

2⁸ × 27437

Starting at 7,023,872, the Collatz iteration reaches 1 after 72 steps. The first transition is 3511936; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 27437

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,020,818

Proper Divisor Sum 6,996,946

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7023869 ← → #7023881

Radix Representation

Decimal	7023872
Binary	11010110010110100000000 (23 bits)
Octal	0o32626400
Hexadecimal	0x6B2D00

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 27,437 54,874 109,748 219,496 438,992 877,984 1,755,968 3,511,936 7,023,872

Collatz Trajectory (72 steps to reach 1)

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

7,023,872 3,511,936 1,755,968 877,984 438,992 219,496 109,748 54,874 27,437 82,312 41,156 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

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