λ
Harmonic Matrix

9,141,023

9141023
Deficient Odd Prime

9,141,023 has digital root 2. The neighboring primes are 9141007 and 9141029; its proper-divisor sum differs from the starting integer by -9,141,022.

Prime Factor Structure

Factorization String 9141023
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,141,024
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #9141007 ← → #9141029

Radix Representation

Decimal 9141023
Binary 100010110111101100011111 (24 bits)
Octal 0o42675437
Hexadecimal 0x8B7B1F

Divisor Catalog (2)

1 9,141,023

Collatz Trajectory (287 steps to reach 1)

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

9,141,023 27,423,070 13,711,535 41,134,606 20,567,303 61,701,910 30,850,955 92,552,866 46,276,433 138,829,300 69,414,650 34,707,325 104,121,976 52,060,988 26,030,494 13,015,247 39,045,742 19,522,871 58,568,614 29,284,307 87,852,922 43,926,461 131,779,384 65,889,692 32,944,846 16,472,423 49,417,270 24,708,635 74,125,906 37,062,953 111,188,860 55,594,430 27,797,215 83,391,646 41,695,823 125,087,470 62,543,735 187,631,206 93,815,603 281,446,810 140,723,405 422,170,216 211,085,108 105,542,554 52,771,277 158,313,832 79,156,916 39,578,458 19,789,229 59,367,688 29,683,844 14,841,922 7,420,961 22,262,884 11,131,442 5,565,721 16,697,164 8,348,582 4,174,291 12,522,874

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