λ
Harmonic Matrix

3,316,055

5 × 71 × 9341
Deficient Odd Composite

3,316,055 has digital root 5. The neighboring primes are 3316007 and 3316057; its proper-divisor sum differs from the starting integer by -2,596,366.

Prime Factor Structure

Factorization String 5 × 71 × 9341
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,035,744
Proper Divisor Sum 719,689
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3316007 ← → #3316057

Radix Representation

Decimal 3316055
Binary 1100101001100101010111 (22 bits)
Octal 0o14514527
Hexadecimal 0x329957

Divisor Catalog (8)

1 5 71 355 9,341 46,705 663,211 3,316,055

Collatz Trajectory (177 steps to reach 1)

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

3,316,055 9,948,166 4,974,083 14,922,250 7,461,125 22,383,376 11,191,688 5,595,844 2,797,922 1,398,961 4,196,884 2,098,442 1,049,221 3,147,664 1,573,832 786,916 393,458 196,729 590,188 295,094 147,547 442,642 221,321 663,964 331,982 165,991 497,974 248,987 746,962 373,481 1,120,444 560,222 280,111 840,334 420,167 1,260,502 630,251 1,890,754 945,377 2,836,132 1,418,066 709,033 2,127,100 1,063,550 531,775 1,595,326 797,663 2,392,990 1,196,495 3,589,486 1,794,743 5,384,230 2,692,115 8,076,346 4,038,173 12,114,520 6,057,260 3,028,630 1,514,315 4,542,946

More profiles

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