7,640,865

3³ × 5 × 56599

7,640,865 factors as 3^3 × 5 × 56599. Its 16 positive divisors give a proper-divisor sum of 5,943,135, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 56599

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,584,000

Proper Divisor Sum 5,943,135

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7640861 ← → #7640873

Radix Representation

Decimal	7640865
Binary	11101001001011100100001 (23 bits)
Octal	0o35113441
Hexadecimal	0x749721

Divisor Catalog (16)

1 3 5 9 15 27 45 135 56,599 169,797 282,995 509,391 848,985 1,528,173 2,546,955 7,640,865

Collatz Trajectory (173 steps to reach 1)

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

7,640,865 22,922,596 11,461,298 5,730,649 17,191,948 8,595,974 4,297,987 12,893,962 6,446,981 19,340,944 9,670,472 4,835,236 2,417,618 1,208,809 3,626,428 1,813,214 906,607 2,719,822 1,359,911 4,079,734 2,039,867 6,119,602 3,059,801 9,179,404 4,589,702 2,294,851 6,884,554 3,442,277 10,326,832 5,163,416 2,581,708 1,290,854 645,427 1,936,282 968,141 2,904,424 1,452,212 726,106 363,053 1,089,160 544,580 272,290 136,145 408,436 204,218 102,109 306,328 153,164 76,582 38,291 114,874 57,437 172,312 86,156 43,078 21,539 64,618 32,309 96,928 48,464

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