λ
Harmonic Matrix

3,361,182

2 × 3 × 11 × 127 × 401
Abundant Even Composite

3,361,182 has digital root 6. The neighboring primes are 3361177 and 3361229; its proper-divisor sum differs from the starting integer by 687,300.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 127 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,409,664
Proper Divisor Sum 4,048,482
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3361177 ← → #3361229

Radix Representation

Decimal 3361182
Binary 1100110100100110011110 (22 bits)
Octal 0o14644636
Hexadecimal 0x33499E

Divisor Catalog (32)

1 2 3 6 11 22 33 66 127 254 381 401 762 802 1,203 1,397 2,406 2,794 4,191 4,411 8,382 8,822 13,233 26,466 50,927 101,854 152,781 305,562 560,197 1,120,394 1,680,591 3,361,182

Collatz Trajectory (115 steps to reach 1)

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

3,361,182 1,680,591 5,041,774 2,520,887 7,562,662 3,781,331 11,343,994 5,671,997 17,015,992 8,507,996 4,253,998 2,126,999 6,380,998 3,190,499 9,571,498 4,785,749 14,357,248 7,178,624 3,589,312 1,794,656 897,328 448,664 224,332 112,166 56,083 168,250 84,125 252,376 126,188 63,094 31,547 94,642 47,321 141,964 70,982 35,491 106,474 53,237 159,712 79,856 39,928 19,964 9,982 4,991 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323

More profiles

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