λ
Harmonic Matrix

3,162,795

3 × 5 × 210853
Deficient Odd Composite

3,162,795 has digital root 6. The neighboring primes are 3162787 and 3162811; its proper-divisor sum differs from the starting integer by -1,265,094.

Prime Factor Structure

Factorization String 3 × 5 × 210853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,060,496
Proper Divisor Sum 1,897,701
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3162787 ← → #3162811

Radix Representation

Decimal 3162795
Binary 1100000100001010101011 (22 bits)
Octal 0o14041253
Hexadecimal 0x3042AB

Divisor Catalog (8)

1 3 5 15 210,853 632,559 1,054,265 3,162,795

Collatz Trajectory (177 steps to reach 1)

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

3,162,795 9,488,386 4,744,193 14,232,580 7,116,290 3,558,145 10,674,436 5,337,218 2,668,609 8,005,828 4,002,914 2,001,457 6,004,372 3,002,186 1,501,093 4,503,280 2,251,640 1,125,820 562,910 281,455 844,366 422,183 1,266,550 633,275 1,899,826 949,913 2,849,740 1,424,870 712,435 2,137,306 1,068,653 3,205,960 1,602,980 801,490 400,745 1,202,236 601,118 300,559 901,678 450,839 1,352,518 676,259 2,028,778 1,014,389 3,043,168 1,521,584 760,792 380,396 190,198 95,099 285,298 142,649 427,948 213,974 106,987 320,962 160,481 481,444 240,722 120,361

More profiles

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