λ
Harmonic Matrix

3,310,347

3 × 1103449
Deficient Odd Composite

3,310,347 has digital root 3. The neighboring primes are 3310301 and 3310357; its proper-divisor sum differs from the starting integer by -2,206,894.

Prime Factor Structure

Factorization String 3 × 1103449
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,413,800
Proper Divisor Sum 1,103,453
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3310301 ← → #3310357

Radix Representation

Decimal 3310347
Binary 1100101000001100001011 (22 bits)
Octal 0o14501413
Hexadecimal 0x32830B

Divisor Catalog (4)

1 3 1,103,449 3,310,347

Collatz Trajectory (146 steps to reach 1)

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

3,310,347 9,931,042 4,965,521 14,896,564 7,448,282 3,724,141 11,172,424 5,586,212 2,793,106 1,396,553 4,189,660 2,094,830 1,047,415 3,142,246 1,571,123 4,713,370 2,356,685 7,070,056 3,535,028 1,767,514 883,757 2,651,272 1,325,636 662,818 331,409 994,228 497,114 248,557 745,672 372,836 186,418 93,209 279,628 139,814 69,907 209,722 104,861 314,584 157,292 78,646 39,323 117,970 58,985 176,956 88,478 44,239 132,718 66,359 199,078 99,539 298,618 149,309 447,928 223,964 111,982 55,991 167,974 83,987 251,962 125,981

More profiles

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