7,291,612

2² × 1822903

Starting at 7,291,612, the Collatz iteration reaches 1 after 111 steps. The first transition is 3645806; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1822903

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 12,760,328

Proper Divisor Sum 5,468,716

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7291607 ← → #7291619

Radix Representation

Decimal	7291612
Binary	11011110100001011011100 (23 bits)
Octal	0o33641334
Hexadecimal	0x6F42DC

Divisor Catalog (6)

1 2 4 1,822,903 3,645,806 7,291,612

Collatz Trajectory (111 steps to reach 1)

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

7,291,612 3,645,806 1,822,903 5,468,710 2,734,355 8,203,066 4,101,533 12,304,600 6,152,300 3,076,150 1,538,075 4,614,226 2,307,113 6,921,340 3,460,670 1,730,335 5,191,006 2,595,503 7,786,510 3,893,255 11,679,766 5,839,883 17,519,650 8,759,825 26,279,476 13,139,738 6,569,869 19,709,608 9,854,804 4,927,402 2,463,701 7,391,104 3,695,552 1,847,776 923,888 461,944 230,972 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250

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