7,350,833

7³ × 29 × 739

7,350,833 factors as 7^3 × 29 × 739. Its 16 positive divisors give a proper-divisor sum of 1,529,167, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 7^3 × 29 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,880,000

Proper Divisor Sum 1,529,167

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7350829 ← → #7350841

Radix Representation

Decimal	7350833
Binary	11100000010101000110001 (23 bits)
Octal	0o34025061
Hexadecimal	0x702A31

Divisor Catalog (16)

1 7 29 49 203 343 739 1,421 5,173 9,947 21,431 36,211 150,017 253,477 1,050,119 7,350,833

Collatz Trajectory (173 steps to reach 1)

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

7,350,833 22,052,500 11,026,250 5,513,125 16,539,376 8,269,688 4,134,844 2,067,422 1,033,711 3,101,134 1,550,567 4,651,702 2,325,851 6,977,554 3,488,777 10,466,332 5,233,166 2,616,583 7,849,750 3,924,875 11,774,626 5,887,313 17,661,940 8,830,970 4,415,485 13,246,456 6,623,228 3,311,614 1,655,807 4,967,422 2,483,711 7,451,134 3,725,567 11,176,702 5,588,351 16,765,054 8,382,527 25,147,582 12,573,791 37,721,374 18,860,687 56,582,062 28,291,031 84,873,094 42,436,547 127,309,642 63,654,821 190,964,464 95,482,232 47,741,116 23,870,558 11,935,279 35,805,838 17,902,919 53,708,758 26,854,379 80,563,138 40,281,569 120,844,708 60,422,354

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