λ
Harmonic Matrix

3,863,515

5 × 772703
Deficient Odd Composite

3,863,515 has digital root 4. The neighboring primes are 3863513 and 3863521; its proper-divisor sum differs from the starting integer by -3,090,806.

Prime Factor Structure

Factorization String 5 × 772703
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,636,224
Proper Divisor Sum 772,709
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3863513 ← → #3863521

Radix Representation

Decimal 3863515
Binary 1110101111001111011011 (22 bits)
Octal 0o16571733
Hexadecimal 0x3AF3DB

Divisor Catalog (4)

1 5 772,703 3,863,515

Collatz Trajectory (123 steps to reach 1)

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

3,863,515 11,590,546 5,795,273 17,385,820 8,692,910 4,346,455 13,039,366 6,519,683 19,559,050 9,779,525 29,338,576 14,669,288 7,334,644 3,667,322 1,833,661 5,500,984 2,750,492 1,375,246 687,623 2,062,870 1,031,435 3,094,306 1,547,153 4,641,460 2,320,730 1,160,365 3,481,096 1,740,548 870,274 435,137 1,305,412 652,706 326,353 979,060 489,530 244,765 734,296 367,148 183,574 91,787 275,362 137,681 413,044 206,522 103,261 309,784 154,892 77,446 38,723 116,170 58,085 174,256 87,128 43,564 21,782 10,891 32,674 16,337 49,012 24,506

More profiles

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