3,932,008

2³ × 491501

For 3,932,008, the 8 positive divisors have a total of 7,372,530. Removing 3,932,008 leaves 3,440,522, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 491501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,372,530

Proper Divisor Sum 3,440,522

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3932003 ← → #3932021

Radix Representation

Decimal	3932008
Binary	1110111111111101101000 (22 bits)
Octal	0o16777550
Hexadecimal	0x3BFF68

Divisor Catalog (8)

1 2 4 8 491,501 983,002 1,966,004 3,932,008

Collatz Trajectory (260 steps to reach 1)

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

3,932,008 1,966,004 983,002 491,501 1,474,504 737,252 368,626 184,313 552,940 276,470 138,235 414,706 207,353 622,060 311,030 155,515 466,546 233,273 699,820 349,910 174,955 524,866 262,433 787,300 393,650 196,825 590,476 295,238 147,619 442,858 221,429 664,288 332,144 166,072 83,036 41,518 20,759 62,278 31,139 93,418 46,709 140,128 70,064 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947

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