λ
Harmonic Matrix

6,996,527

41 × 170647
Deficient Odd Composite

6,996,527 has digital root 8. The neighboring primes are 6996523 and 6996529; its proper-divisor sum differs from the starting integer by -6,825,838.

Prime Factor Structure

Factorization String 41 × 170647
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,167,216
Proper Divisor Sum 170,689
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6996523 ← → #6996529

Radix Representation

Decimal 6996527
Binary 11010101100001000101111 (23 bits)
Octal 0o32541057
Hexadecimal 0x6AC22F

Divisor Catalog (4)

1 41 170,647 6,996,527

Collatz Trajectory (191 steps to reach 1)

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

6,996,527 20,989,582 10,494,791 31,484,374 15,742,187 47,226,562 23,613,281 70,839,844 35,419,922 17,709,961 53,129,884 26,564,942 13,282,471 39,847,414 19,923,707 59,771,122 29,885,561 89,656,684 44,828,342 22,414,171 67,242,514 33,621,257 100,863,772 50,431,886 25,215,943 75,647,830 37,823,915 113,471,746 56,735,873 170,207,620 85,103,810 42,551,905 127,655,716 63,827,858 31,913,929 95,741,788 47,870,894 23,935,447 71,806,342 35,903,171 107,709,514 53,854,757 161,564,272 80,782,136 40,391,068 20,195,534 10,097,767 30,293,302 15,146,651 45,439,954 22,719,977 68,159,932 34,079,966 17,039,983 51,119,950 25,559,975 76,679,926 38,339,963 115,019,890 57,509,945

More profiles

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