λ
Harmonic Matrix

5,825,807

13 × 448139
Deficient Odd Composite

5,825,807 has digital root 8. The neighboring primes are 5825803 and 5825819; its proper-divisor sum differs from the starting integer by -5,377,654.

Prime Factor Structure

Factorization String 13 × 448139
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,273,960
Proper Divisor Sum 448,153
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5825803 ← → #5825819

Radix Representation

Decimal 5825807
Binary 10110001110010100001111 (23 bits)
Octal 0o26162417
Hexadecimal 0x58E50F

Divisor Catalog (4)

1 13 448,139 5,825,807

Collatz Trajectory (95 steps to reach 1)

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

5,825,807 17,477,422 8,738,711 26,216,134 13,108,067 39,324,202 19,662,101 58,986,304 29,493,152 14,746,576 7,373,288 3,686,644 1,843,322 921,661 2,764,984 1,382,492 691,246 345,623 1,036,870 518,435 1,555,306 777,653 2,332,960 1,166,480 583,240 291,620 145,810 72,905 218,716 109,358 54,679 164,038 82,019 246,058 123,029 369,088 184,544 92,272 46,136 23,068 11,534 5,767 17,302 8,651 25,954 12,977 38,932 19,466 9,733 29,200 14,600 7,300 3,650 1,825 5,476 2,738 1,369 4,108 2,054 1,027

More profiles

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