6,978,032

2⁴ × 436127

6,978,032 factors as 2^4 × 436127. Its 10 positive divisors give a proper-divisor sum of 6,541,936, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 2^4 × 436127

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 13,519,968

Proper Divisor Sum 6,541,936

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6978031 ← → #6978047

Radix Representation

Decimal	6978032
Binary	11010100111100111110000 (23 bits)
Octal	0o32474760
Hexadecimal	0x6A79F0

Divisor Catalog (10)

1 2 4 8 16 436,127 872,254 1,744,508 3,489,016 6,978,032

Collatz Trajectory (289 steps to reach 1)

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

6,978,032 3,489,016 1,744,508 872,254 436,127 1,308,382 654,191 1,962,574 981,287 2,943,862 1,471,931 4,415,794 2,207,897 6,623,692 3,311,846 1,655,923 4,967,770 2,483,885 7,451,656 3,725,828 1,862,914 931,457 2,794,372 1,397,186 698,593 2,095,780 1,047,890 523,945 1,571,836 785,918 392,959 1,178,878 589,439 1,768,318 884,159 2,652,478 1,326,239 3,978,718 1,989,359 5,968,078 2,984,039 8,952,118 4,476,059 13,428,178 6,714,089 20,142,268 10,071,134 5,035,567 15,106,702 7,553,351 22,660,054 11,330,027 33,990,082 16,995,041 50,985,124 25,492,562 12,746,281 38,238,844 19,119,422 9,559,711

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