λ
Harmonic Matrix

9,008,117

9008117
Deficient Odd Prime

9,008,117 has digital root 8. The neighboring primes are 9008101 and 9008119; its proper-divisor sum differs from the starting integer by -9,008,116.

Prime Factor Structure

Factorization String 9008117
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,008,118
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9008101 ← → #9008119

Radix Representation

Decimal 9008117
Binary 100010010111001111110101 (24 bits)
Octal 0o42271765
Hexadecimal 0x8973F5

Divisor Catalog (2)

Collatz Trajectory (88 steps to reach 1)

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

9,008,117 27,024,352 13,512,176 6,756,088 3,378,044 1,689,022 844,511 2,533,534 1,266,767 3,800,302 1,900,151 5,700,454 2,850,227 8,550,682 4,275,341 12,826,024 6,413,012 3,206,506 1,603,253 4,809,760 2,404,880 1,202,440 601,220 300,610 150,305 450,916 225,458 112,729 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

More profiles

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