λ
Harmonic Matrix

3,358,230

2 × 3 × 5 × 23 × 31 × 157
Abundant Even Composite

3,358,230 has digital root 6. The neighboring primes are 3358217 and 3358249; its proper-divisor sum differs from the starting integer by 2,020,308.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 23 × 31 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,736,768
Proper Divisor Sum 5,378,538
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3358217 ← → #3358249

Radix Representation

Decimal 3358230
Binary 1100110011111000010110 (22 bits)
Octal 0o14637026
Hexadecimal 0x333E16

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 30 31 46 62 69 93 115 138 155 157 186 230 310 314 345 465 471 690 713 785 930 942 1,426 1,570 2,139 2,355 3,565 3,611 4,278 4,710 4,867 7,130 7,222 9,734 10,695 10,833 14,601 18,055 21,390 21,666 24,335 29,202 36,110 48,670 54,165 73,005 108,330 111,941 146,010 223,882 335,823 559,705

Collatz Trajectory (177 steps to reach 1)

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

3,358,230 1,679,115 5,037,346 2,518,673 7,556,020 3,778,010 1,889,005 5,667,016 2,833,508 1,416,754 708,377 2,125,132 1,062,566 531,283 1,593,850 796,925 2,390,776 1,195,388 597,694 298,847 896,542 448,271 1,344,814 672,407 2,017,222 1,008,611 3,025,834 1,512,917 4,538,752 2,269,376 1,134,688 567,344 283,672 141,836 70,918 35,459 106,378 53,189 159,568 79,784 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554

More profiles

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