7,284,945

3 × 5 × 29 × 16747

7,284,945 factors as 3 × 5 × 29 × 16747. Its 16 positive divisors give a proper-divisor sum of 4,773,615, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3 × 5 × 29 × 16747

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,058,560

Proper Divisor Sum 4,773,615

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7284943 ← → #7284971

Radix Representation

Decimal	7284945
Binary	11011110010100011010001 (23 bits)
Octal	0o33624321
Hexadecimal	0x6F28D1

Divisor Catalog (16)

1 3 5 15 29 87 145 435 16,747 50,241 83,735 251,205 485,663 1,456,989 2,428,315 7,284,945

Collatz Trajectory (266 steps to reach 1)

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

7,284,945 21,854,836 10,927,418 5,463,709 16,391,128 8,195,564 4,097,782 2,048,891 6,146,674 3,073,337 9,220,012 4,610,006 2,305,003 6,915,010 3,457,505 10,372,516 5,186,258 2,593,129 7,779,388 3,889,694 1,944,847 5,834,542 2,917,271 8,751,814 4,375,907 13,127,722 6,563,861 19,691,584 9,845,792 4,922,896 2,461,448 1,230,724 615,362 307,681 923,044 461,522 230,761 692,284 346,142 173,071 519,214 259,607 778,822 389,411 1,168,234 584,117 1,752,352 876,176 438,088 219,044 109,522 54,761 164,284 82,142 41,071 123,214 61,607 184,822 92,411 277,234

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