8,309,541

3 × 67 × 41341

8,309,541 factors as 3 × 67 × 41341. Its 8 positive divisors give a proper-divisor sum of 2,935,483, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 67 × 41341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,245,024

Proper Divisor Sum 2,935,483

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8309537 ← → #8309551

Radix Representation

Decimal	8309541
Binary	11111101100101100100101 (23 bits)
Octal	0o37545445
Hexadecimal	0x7ECB25

Divisor Catalog (8)

1 3 67 201 41,341 124,023 2,769,847 8,309,541

Collatz Trajectory (199 steps to reach 1)

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

8,309,541 24,928,624 12,464,312 6,232,156 3,116,078 1,558,039 4,674,118 2,337,059 7,011,178 3,505,589 10,516,768 5,258,384 2,629,192 1,314,596 657,298 328,649 985,948 492,974 246,487 739,462 369,731 1,109,194 554,597 1,663,792 831,896 415,948 207,974 103,987 311,962 155,981 467,944 233,972 116,986 58,493 175,480 87,740 43,870 21,935 65,806 32,903 98,710 49,355 148,066 74,033 222,100 111,050 55,525 166,576 83,288 41,644 20,822 10,411 31,234 15,617 46,852 23,426 11,713 35,140 17,570 8,785

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