3,967,263

3² × 440807

3,967,263 factors as 3^2 × 440807. Its 6 positive divisors give a proper-divisor sum of 1,763,241, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 3^2 × 440807

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,730,504

Proper Divisor Sum 1,763,241

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3967259 ← → #3967277

Radix Representation

Decimal	3967263
Binary	1111001000100100011111 (22 bits)
Octal	0o17104437
Hexadecimal	0x3C891F

Divisor Catalog (6)

1 3 9 440,807 1,322,421 3,967,263

Collatz Trajectory (291 steps to reach 1)

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

3,967,263 11,901,790 5,950,895 17,852,686 8,926,343 26,779,030 13,389,515 40,168,546 20,084,273 60,252,820 30,126,410 15,063,205 45,189,616 22,594,808 11,297,404 5,648,702 2,824,351 8,473,054 4,236,527 12,709,582 6,354,791 19,064,374 9,532,187 28,596,562 14,298,281 42,894,844 21,447,422 10,723,711 32,171,134 16,085,567 48,256,702 24,128,351 72,385,054 36,192,527 108,577,582 54,288,791 162,866,374 81,433,187 244,299,562 122,149,781 366,449,344 183,224,672 91,612,336 45,806,168 22,903,084 11,451,542 5,725,771 17,177,314 8,588,657 25,765,972 12,882,986 6,441,493 19,324,480 9,662,240 4,831,120 2,415,560 1,207,780 603,890 301,945 905,836

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