λ
Harmonic Matrix

5,067,177

3 × 683 × 2473
Deficient Odd Composite

5,067,177 has digital root 6. The neighboring primes are 5067151 and 5067197; its proper-divisor sum differs from the starting integer by -3,365,490.

Prime Factor Structure

Factorization String 3 × 683 × 2473
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,768,864
Proper Divisor Sum 1,701,687
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5067151 ← → #5067197

Radix Representation

Decimal 5067177
Binary 10011010101000110101001 (23 bits)
Octal 0o23250651
Hexadecimal 0x4D51A9

Divisor Catalog (8)

1 3 683 2,049 2,473 7,419 1,689,059 5,067,177

Collatz Trajectory (157 steps to reach 1)

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

5,067,177 15,201,532 7,600,766 3,800,383 11,401,150 5,700,575 17,101,726 8,550,863 25,652,590 12,826,295 38,478,886 19,239,443 57,718,330 28,859,165 86,577,496 43,288,748 21,644,374 10,822,187 32,466,562 16,233,281 48,699,844 24,349,922 12,174,961 36,524,884 18,262,442 9,131,221 27,393,664 13,696,832 6,848,416 3,424,208 1,712,104 856,052 428,026 214,013 642,040 321,020 160,510 80,255 240,766 120,383 361,150 180,575 541,726 270,863 812,590 406,295 1,218,886 609,443 1,828,330 914,165 2,742,496 1,371,248 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833

More profiles

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