λ
Harmonic Matrix

3,522,016

25 × 110063
Deficient Even Composite

3,522,016 has digital root 1. The neighboring primes are 3522007 and 3522019; its proper-divisor sum differs from the starting integer by -110,000.

Prime Factor Structure

Factorization String 2^5 × 110063
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,934,032
Proper Divisor Sum 3,412,016
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #3522007 ← → #3522019

Radix Representation

Decimal 3522016
Binary 1101011011110111100000 (22 bits)
Octal 0o15336740
Hexadecimal 0x35BDE0

Divisor Catalog (12)

1 2 4 8 16 32 110,063 220,126 440,252 880,504 1,761,008 3,522,016

Collatz Trajectory (190 steps to reach 1)

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

3,522,016 1,761,008 880,504 440,252 220,126 110,063 330,190 165,095 495,286 247,643 742,930 371,465 1,114,396 557,198 278,599 835,798 417,899 1,253,698 626,849 1,880,548 940,274 470,137 1,410,412 705,206 352,603 1,057,810 528,905 1,586,716 793,358 396,679 1,190,038 595,019 1,785,058 892,529 2,677,588 1,338,794 669,397 2,008,192 1,004,096 502,048 251,024 125,512 62,756 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342

More profiles

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