7,516,449

3³ × 278387

Starting at 7,516,449, the Collatz iteration reaches 1 after 111 steps. The first transition is 22549348; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 278387

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,135,520

Proper Divisor Sum 3,619,071

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7516427 ← → #7516451

Radix Representation

Decimal	7516449
Binary	11100101011000100100001 (23 bits)
Octal	0o34530441
Hexadecimal	0x72B121

Divisor Catalog (8)

1 3 9 27 278,387 835,161 2,505,483 7,516,449

Collatz Trajectory (111 steps to reach 1)

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

7,516,449 22,549,348 11,274,674 5,637,337 16,912,012 8,456,006 4,228,003 12,684,010 6,342,005 19,026,016 9,513,008 4,756,504 2,378,252 1,189,126 594,563 1,783,690 891,845 2,675,536 1,337,768 668,884 334,442 167,221 501,664 250,832 125,416 62,708 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951

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