λ
Harmonic Matrix

3,047,891

7 × 11 × 23 × 1721
Deficient Odd Composite

3,047,891 has digital root 5. The neighboring primes are 3047861 and 3047909; its proper-divisor sum differs from the starting integer by -2,128,294.

Prime Factor Structure

Factorization String 7 × 11 × 23 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,967,488
Proper Divisor Sum 919,597
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3047861 ← → #3047909

Radix Representation

Decimal 3047891
Binary 1011101000000111010011 (22 bits)
Octal 0o13500723
Hexadecimal 0x2E81D3

Divisor Catalog (16)

1 7 11 23 77 161 253 1,721 1,771 12,047 18,931 39,583 132,517 277,081 435,413 3,047,891

Collatz Trajectory (195 steps to reach 1)

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

3,047,891 9,143,674 4,571,837 13,715,512 6,857,756 3,428,878 1,714,439 5,143,318 2,571,659 7,714,978 3,857,489 11,572,468 5,786,234 2,893,117 8,679,352 4,339,676 2,169,838 1,084,919 3,254,758 1,627,379 4,882,138 2,441,069 7,323,208 3,661,604 1,830,802 915,401 2,746,204 1,373,102 686,551 2,059,654 1,029,827 3,089,482 1,544,741 4,634,224 2,317,112 1,158,556 579,278 289,639 868,918 434,459 1,303,378 651,689 1,955,068 977,534 488,767 1,466,302 733,151 2,199,454 1,099,727 3,299,182 1,649,591 4,948,774 2,474,387 7,423,162 3,711,581 11,134,744 5,567,372 2,783,686 1,391,843 4,175,530

More profiles

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