3,364,767

3³ × 7 × 19 × 937

For 3,364,767, the 32 positive divisors have a total of 6,003,200. Removing 3,364,767 leaves 2,638,433, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 7 × 19 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,003,200

Proper Divisor Sum 2,638,433

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3364763 ← → #3364787

Radix Representation

Decimal	3364767
Binary	1100110101011110011111 (22 bits)
Octal	0o14653637
Hexadecimal	0x33579F

Divisor Catalog (32)

1 3 7 9 19 21 27 57 63 133 171 189 399 513 937 1,197 2,811 3,591 6,559 8,433 17,803 19,677 25,299 53,409 59,031 124,621 160,227 177,093 373,863 480,681 1,121,589 3,364,767

Collatz Trajectory (221 steps to reach 1)

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

3,364,767 10,094,302 5,047,151 15,141,454 7,570,727 22,712,182 11,356,091 34,068,274 17,034,137 51,102,412 25,551,206 12,775,603 38,326,810 19,163,405 57,490,216 28,745,108 14,372,554 7,186,277 21,558,832 10,779,416 5,389,708 2,694,854 1,347,427 4,042,282 2,021,141 6,063,424 3,031,712 1,515,856 757,928 378,964 189,482 94,741 284,224 142,112 71,056 35,528 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563

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