λ
Harmonic Matrix

3,402,996

22 × 3 × 283583
Abundant Even Composite

3,402,996 has digital root 6. The neighboring primes are 3402991 and 3403003; its proper-divisor sum differs from the starting integer by 1,134,360.

Prime Factor Structure

Factorization String 2^2 × 3 × 283583
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,940,352
Proper Divisor Sum 4,537,356
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3402991 ← → #3403003

Radix Representation

Decimal 3402996
Binary 1100111110110011110100 (22 bits)
Octal 0o14766364
Hexadecimal 0x33ECF4

Divisor Catalog (12)

1 2 3 4 6 12 283,583 567,166 850,749 1,134,332 1,701,498 3,402,996

Collatz Trajectory (177 steps to reach 1)

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

3,402,996 1,701,498 850,749 2,552,248 1,276,124 638,062 319,031 957,094 478,547 1,435,642 717,821 2,153,464 1,076,732 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260 2,299,630 1,149,815 3,449,446 1,724,723 5,174,170 2,587,085 7,761,256 3,880,628 1,940,314 970,157 2,910,472 1,455,236 727,618 363,809 1,091,428 545,714 272,857 818,572 409,286 204,643 613,930 306,965 920,896 460,448 230,224 115,112 57,556 28,778 14,389 43,168 21,584

More profiles

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