λ
Harmonic Matrix

8,067,503

17 × 23 × 47 × 439
Deficient Odd Composite

8,067,503 has digital root 2. The neighboring primes are 8067497 and 8067511; its proper-divisor sum differs from the starting integer by -7,011,166.

Prime Factor Structure

Factorization String 17 × 23 × 47 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,123,840
Proper Divisor Sum 1,056,337
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8067497 ← → #8067511

Radix Representation

Decimal 8067503
Binary 11110110001100110101111 (23 bits)
Octal 0o36614657
Hexadecimal 0x7B19AF

Divisor Catalog (16)

1 17 23 47 391 439 799 1,081 7,463 10,097 18,377 20,633 171,649 350,761 474,559 8,067,503

Collatz Trajectory (230 steps to reach 1)

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

8,067,503 24,202,510 12,101,255 36,303,766 18,151,883 54,455,650 27,227,825 81,683,476 40,841,738 20,420,869 61,262,608 30,631,304 15,315,652 7,657,826 3,828,913 11,486,740 5,743,370 2,871,685 8,615,056 4,307,528 2,153,764 1,076,882 538,441 1,615,324 807,662 403,831 1,211,494 605,747 1,817,242 908,621 2,725,864 1,362,932 681,466 340,733 1,022,200 511,100 255,550 127,775 383,326 191,663 574,990 287,495 862,486 431,243 1,293,730 646,865 1,940,596 970,298 485,149 1,455,448 727,724 363,862 181,931 545,794 272,897 818,692 409,346 204,673 614,020 307,010

More profiles

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