3,834,364

2² × 101 × 9491

3,834,364 factors as 2^2 × 101 × 9491. Its 12 positive divisors give a proper-divisor sum of 2,942,924, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 101 × 9491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,777,288

Proper Divisor Sum 2,942,924

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3834301 ← → #3834377

Radix Representation

Decimal	3834364
Binary	1110101000000111111100 (22 bits)
Octal	0o16500774
Hexadecimal	0x3A81FC

Divisor Catalog (12)

1 2 4 101 202 404 9,491 18,982 37,964 958,591 1,917,182 3,834,364

Collatz Trajectory (172 steps to reach 1)

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

3,834,364 1,917,182 958,591 2,875,774 1,437,887 4,313,662 2,156,831 6,470,494 3,235,247 9,705,742 4,852,871 14,558,614 7,279,307 21,837,922 10,918,961 32,756,884 16,378,442 8,189,221 24,567,664 12,283,832 6,141,916 3,070,958 1,535,479 4,606,438 2,303,219 6,909,658 3,454,829 10,364,488 5,182,244 2,591,122 1,295,561 3,886,684 1,943,342 971,671 2,915,014 1,457,507 4,372,522 2,186,261 6,558,784 3,279,392 1,639,696 819,848 409,924 204,962 102,481 307,444 153,722 76,861 230,584 115,292 57,646 28,823 86,470 43,235 129,706 64,853 194,560 97,280 48,640 24,320

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