λ
Harmonic Matrix

4,471,841

11 × 406531
Deficient Odd Composite

4,471,841 has digital root 2. The neighboring primes are 4471837 and 4471847; its proper-divisor sum differs from the starting integer by -4,065,298.

Prime Factor Structure

Factorization String 11 × 406531
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,878,384
Proper Divisor Sum 406,543
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4471837 ← → #4471847

Radix Representation

Decimal 4471841
Binary 10001000011110000100001 (23 bits)
Octal 0o21036041
Hexadecimal 0x443C21

Divisor Catalog (4)

1 11 406,531 4,471,841

Collatz Trajectory (180 steps to reach 1)

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

4,471,841 13,415,524 6,707,762 3,353,881 10,061,644 5,030,822 2,515,411 7,546,234 3,773,117 11,319,352 5,659,676 2,829,838 1,414,919 4,244,758 2,122,379 6,367,138 3,183,569 9,550,708 4,775,354 2,387,677 7,163,032 3,581,516 1,790,758 895,379 2,686,138 1,343,069 4,029,208 2,014,604 1,007,302 503,651 1,510,954 755,477 2,266,432 1,133,216 566,608 283,304 141,652 70,826 35,413 106,240 53,120 26,560 13,280 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

More profiles

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