7,296,824

2³ × 912103

7,296,824 factors as 2^3 × 912103. Its 8 positive divisors give a proper-divisor sum of 6,384,736, so this integer is deficient. The Collatz stopping time is 341 steps.

Prime Factor Structure

Factorization String 2^3 × 912103

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,681,560

Proper Divisor Sum 6,384,736

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7296803 ← → #7296827

Radix Representation

Decimal	7296824
Binary	11011110101011100111000 (23 bits)
Octal	0o33653470
Hexadecimal	0x6F5738

Divisor Catalog (8)

1 2 4 8 912,103 1,824,206 3,648,412 7,296,824

Collatz Trajectory (341 steps to reach 1)

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

7,296,824 3,648,412 1,824,206 912,103 2,736,310 1,368,155 4,104,466 2,052,233 6,156,700 3,078,350 1,539,175 4,617,526 2,308,763 6,926,290 3,463,145 10,389,436 5,194,718 2,597,359 7,792,078 3,896,039 11,688,118 5,844,059 17,532,178 8,766,089 26,298,268 13,149,134 6,574,567 19,723,702 9,861,851 29,585,554 14,792,777 44,378,332 22,189,166 11,094,583 33,283,750 16,641,875 49,925,626 24,962,813 74,888,440 37,444,220 18,722,110 9,361,055 28,083,166 14,041,583 42,124,750 21,062,375 63,187,126 31,593,563 94,780,690 47,390,345 142,171,036 71,085,518 35,542,759 106,628,278 53,314,139 159,942,418 79,971,209 239,913,628 119,956,814 59,978,407

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