λ
Harmonic Matrix

7,174,763

71 × 139 × 727
Deficient Odd Composite

7,174,763 has digital root 8. The neighboring primes are 7174753 and 7174777; its proper-divisor sum differs from the starting integer by -7,011,286.

Prime Factor Structure

Factorization String 71 × 139 × 727
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,338,240
Proper Divisor Sum 163,477
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7174753 ← → #7174777

Radix Representation

Decimal 7174763
Binary 11011010111101001101011 (23 bits)
Octal 0o33275153
Hexadecimal 0x6D7A6B

Divisor Catalog (8)

1 71 139 727 9,869 51,617 101,053 7,174,763

Collatz Trajectory (191 steps to reach 1)

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

7,174,763 21,524,290 10,762,145 32,286,436 16,143,218 8,071,609 24,214,828 12,107,414 6,053,707 18,161,122 9,080,561 27,241,684 13,620,842 6,810,421 20,431,264 10,215,632 5,107,816 2,553,908 1,276,954 638,477 1,915,432 957,716 478,858 239,429 718,288 359,144 179,572 89,786 44,893 134,680 67,340 33,670 16,835 50,506 25,253 75,760 37,880 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517

More profiles

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