λ
Harmonic Matrix

6,470,733

3 × 1297 × 1663
Deficient Odd Composite

6,470,733 has digital root 3. The neighboring primes are 6470731 and 6470753; its proper-divisor sum differs from the starting integer by -4,301,978.

Prime Factor Structure

Factorization String 3 × 1297 × 1663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,639,488
Proper Divisor Sum 2,168,755
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6470731 ← → #6470753

Radix Representation

Decimal 6470733
Binary 11000101011110001001101 (23 bits)
Octal 0o30536115
Hexadecimal 0x62BC4D

Divisor Catalog (8)

1 3 1,297 1,663 3,891 4,989 2,156,911 6,470,733

Collatz Trajectory (240 steps to reach 1)

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

6,470,733 19,412,200 9,706,100 4,853,050 2,426,525 7,279,576 3,639,788 1,819,894 909,947 2,729,842 1,364,921 4,094,764 2,047,382 1,023,691 3,071,074 1,535,537 4,606,612 2,303,306 1,151,653 3,454,960 1,727,480 863,740 431,870 215,935 647,806 323,903 971,710 485,855 1,457,566 728,783 2,186,350 1,093,175 3,279,526 1,639,763 4,919,290 2,459,645 7,378,936 3,689,468 1,844,734 922,367 2,767,102 1,383,551 4,150,654 2,075,327 6,225,982 3,112,991 9,338,974 4,669,487 14,008,462 7,004,231 21,012,694 10,506,347 31,519,042 15,759,521 47,278,564 23,639,282 11,819,641 35,458,924 17,729,462 8,864,731

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