7,656,536

2³ × 863 × 1109

7,656,536 factors as 2^3 × 863 × 1109. Its 16 positive divisors give a proper-divisor sum of 6,729,064, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^3 × 863 × 1109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,385,600

Proper Divisor Sum 6,729,064

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7656533 ← → #7656577

Radix Representation

Decimal	7656536
Binary	11101001101010001011000 (23 bits)
Octal	0o35152130
Hexadecimal	0x74D458

Divisor Catalog (16)

1 2 4 8 863 1,109 1,726 2,218 3,452 4,436 6,904 8,872 957,067 1,914,134 3,828,268 7,656,536

Collatz Trajectory (217 steps to reach 1)

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

7,656,536 3,828,268 1,914,134 957,067 2,871,202 1,435,601 4,306,804 2,153,402 1,076,701 3,230,104 1,615,052 807,526 403,763 1,211,290 605,645 1,816,936 908,468 454,234 227,117 681,352 340,676 170,338 85,169 255,508 127,754 63,877 191,632 95,816 47,908 23,954 11,977 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320 15,160 7,580 3,790 1,895 5,686 2,843 8,530 4,265 12,796 6,398 3,199 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598

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