λ
Harmonic Matrix

3,131,655

3 × 5 × 17 × 12281
Deficient Odd Composite

3,131,655 has digital root 6. The neighboring primes are 3131641 and 3131669; its proper-divisor sum differs from the starting integer by -957,486.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 12281
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,305,824
Proper Divisor Sum 2,174,169
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3131641 ← → #3131669

Radix Representation

Decimal 3131655
Binary 1011111100100100000111 (22 bits)
Octal 0o13744407
Hexadecimal 0x2FC907

Divisor Catalog (16)

1 3 5 15 17 51 85 255 12,281 36,843 61,405 184,215 208,777 626,331 1,043,885 3,131,655

Collatz Trajectory (226 steps to reach 1)

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

3,131,655 9,394,966 4,697,483 14,092,450 7,046,225 21,138,676 10,569,338 5,284,669 15,854,008 7,927,004 3,963,502 1,981,751 5,945,254 2,972,627 8,917,882 4,458,941 13,376,824 6,688,412 3,344,206 1,672,103 5,016,310 2,508,155 7,524,466 3,762,233 11,286,700 5,643,350 2,821,675 8,465,026 4,232,513 12,697,540 6,348,770 3,174,385 9,523,156 4,761,578 2,380,789 7,142,368 3,571,184 1,785,592 892,796 446,398 223,199 669,598 334,799 1,004,398 502,199 1,506,598 753,299 2,259,898 1,129,949 3,389,848 1,694,924 847,462 423,731 1,271,194 635,597 1,906,792 953,396 476,698 238,349 715,048

More profiles

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