3,212,742

2 × 3 × 13 × 41189

3,212,742 has digital root 3. The neighboring primes are 3212723 and 3212743; its proper-divisor sum differs from the starting integer by 494,436.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 41189

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,919,920

Proper Divisor Sum 3,707,178

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3212723 ← → #3212743

Radix Representation

Decimal	3212742
Binary	1100010000010111000110 (22 bits)
Octal	0o14202706
Hexadecimal	0x3105C6

Divisor Catalog (16)

1 2 3 6 13 26 39 78 41,189 82,378 123,567 247,134 535,457 1,070,914 1,606,371 3,212,742

Collatz Trajectory (71 steps to reach 1)

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

3,212,742 1,606,371 4,819,114 2,409,557 7,228,672 3,614,336 1,807,168 903,584 451,792 225,896 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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