λ
Harmonic Matrix

3,369,162

2 × 3 × 172 × 29 × 67
Abundant Even Composite

3,369,162 has digital root 3. The neighboring primes are 3369161 and 3369167; its proper-divisor sum differs from the starting integer by 777,036.

Prime Factor Structure

Factorization String 2 × 3 × 17^2 × 29 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,515,360
Proper Divisor Sum 4,146,198
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3369161 ← → #3369167

Radix Representation

Decimal 3369162
Binary 1100110110100011001010 (22 bits)
Octal 0o14664312
Hexadecimal 0x3368CA

Divisor Catalog (48)

1 2 3 6 17 29 34 51 58 67 87 102 134 174 201 289 402 493 578 867 986 1,139 1,479 1,734 1,943 2,278 2,958 3,417 3,886 5,829 6,834 8,381 11,658 16,762 19,363 25,143 33,031 38,726 50,286 58,089 66,062 99,093 116,178 198,186 561,527 1,123,054 1,684,581 3,369,162

Collatz Trajectory (221 steps to reach 1)

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

3,369,162 1,684,581 5,053,744 2,526,872 1,263,436 631,718 315,859 947,578 473,789 1,421,368 710,684 355,342 177,671 533,014 266,507 799,522 399,761 1,199,284 599,642 299,821 899,464 449,732 224,866 112,433 337,300 168,650 84,325 252,976 126,488 63,244 31,622 15,811 47,434 23,717 71,152 35,576 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382

More profiles

← Previous Integer #3,369,161 Browse Full Index Next Integer #3,369,163 →