λ
Harmonic Matrix

9,851,627

9851627
Deficient Odd Prime

9,851,627 has digital root 2. The neighboring primes are 9851617 and 9851651; its proper-divisor sum differs from the starting integer by -9,851,626.

Prime Factor Structure

Factorization String 9851627
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,851,628
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9851617 ← → #9851651

Radix Representation

Decimal 9851627
Binary 100101100101001011101011 (24 bits)
Octal 0o45451353
Hexadecimal 0x9652EB

Divisor Catalog (2)

1 9,851,627

Collatz Trajectory (282 steps to reach 1)

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

9,851,627 29,554,882 14,777,441 44,332,324 22,166,162 11,083,081 33,249,244 16,624,622 8,312,311 24,936,934 12,468,467 37,405,402 18,702,701 56,108,104 28,054,052 14,027,026 7,013,513 21,040,540 10,520,270 5,260,135 15,780,406 7,890,203 23,670,610 11,835,305 35,505,916 17,752,958 8,876,479 26,629,438 13,314,719 39,944,158 19,972,079 59,916,238 29,958,119 89,874,358 44,937,179 134,811,538 67,405,769 202,217,308 101,108,654 50,554,327 151,662,982 75,831,491 227,494,474 113,747,237 341,241,712 170,620,856 85,310,428 42,655,214 21,327,607 63,982,822 31,991,411 95,974,234 47,987,117 143,961,352 71,980,676 35,990,338 17,995,169 53,985,508 26,992,754 13,496,377

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