3,353,212

2² × 29 × 137 × 211

3,353,212 factors as 2^2 × 29 × 137 × 211. Its 24 positive divisors give a proper-divisor sum of 2,790,548, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 29 × 137 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,143,760

Proper Divisor Sum 2,790,548

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3353209 ← → #3353213

Radix Representation

Decimal	3353212
Binary	1100110010101001111100 (22 bits)
Octal	0o14625174
Hexadecimal	0x332A7C

Divisor Catalog (24)

Collatz Trajectory (208 steps to reach 1)

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

3,353,212 1,676,606 838,303 2,514,910 1,257,455 3,772,366 1,886,183 5,658,550 2,829,275 8,487,826 4,243,913 12,731,740 6,365,870 3,182,935 9,548,806 4,774,403 14,323,210 7,161,605 21,484,816 10,742,408 5,371,204 2,685,602 1,342,801 4,028,404 2,014,202 1,007,101 3,021,304 1,510,652 755,326 377,663 1,132,990 566,495 1,699,486 849,743 2,549,230 1,274,615 3,823,846 1,911,923 5,735,770 2,867,885 8,603,656 4,301,828 2,150,914 1,075,457 3,226,372 1,613,186 806,593 2,419,780 1,209,890 604,945 1,814,836 907,418 453,709 1,361,128 680,564 340,282 170,141 510,424 255,212 127,606

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