3,406,401

3³ × 79 × 1597

3,406,401 factors as 3^3 × 79 × 1597. Its 16 positive divisors give a proper-divisor sum of 1,707,199, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 3^3 × 79 × 1597

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,113,600

Proper Divisor Sum 1,707,199

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3406391 ← → #3406421

Radix Representation

Decimal	3406401
Binary	1100111111101001000001 (22 bits)
Octal	0o14775101
Hexadecimal	0x33FA41

Divisor Catalog (16)

1 3 9 27 79 237 711 1,597 2,133 4,791 14,373 43,119 126,163 378,489 1,135,467 3,406,401

Collatz Trajectory (84 steps to reach 1)

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

3,406,401 10,219,204 5,109,602 2,554,801 7,664,404 3,832,202 1,916,101 5,748,304 2,874,152 1,437,076 718,538 359,269 1,077,808 538,904 269,452 134,726 67,363 202,090 101,045 303,136 151,568 75,784 37,892 18,946 9,473 28,420 14,210 7,105 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101

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