λ
Harmonic Matrix

9,117,022

2 × 37 × 123203
Deficient Even Composite

9,117,022 has digital root 4. The neighboring primes are 9117011 and 9117029; its proper-divisor sum differs from the starting integer by -4,188,788.

Prime Factor Structure

Factorization String 2 × 37 × 123203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,045,256
Proper Divisor Sum 4,928,234
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9117011 ← → #9117029

Radix Representation

Decimal 9117022
Binary 100010110001110101011110 (24 bits)
Octal 0o42616536
Hexadecimal 0x8B1D5E

Divisor Catalog (8)

1 2 37 74 123,203 246,406 4,558,511 9,117,022

Collatz Trajectory (88 steps to reach 1)

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

9,117,022 4,558,511 13,675,534 6,837,767 20,513,302 10,256,651 30,769,954 15,384,977 46,154,932 23,077,466 11,538,733 34,616,200 17,308,100 8,654,050 4,327,025 12,981,076 6,490,538 3,245,269 9,735,808 4,867,904 2,433,952 1,216,976 608,488 304,244 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269

More profiles

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