λ
Harmonic Matrix

9,586,491

3 × 71 × 45007
Deficient Odd Composite

9,586,491 has digital root 6. The neighboring primes are 9586477 and 9586517; its proper-divisor sum differs from the starting integer by -6,210,678.

Prime Factor Structure

Factorization String 3 × 71 × 45007
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,962,304
Proper Divisor Sum 3,375,813
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9586477 ← → #9586517

Radix Representation

Decimal 9586491
Binary 100100100100011100111011 (24 bits)
Octal 0o44443473
Hexadecimal 0x92473B

Divisor Catalog (8)

1 3 71 213 45,007 135,021 3,195,497 9,586,491

Collatz Trajectory (207 steps to reach 1)

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

9,586,491 28,759,474 14,379,737 43,139,212 21,569,606 10,784,803 32,354,410 16,177,205 48,531,616 24,265,808 12,132,904 6,066,452 3,033,226 1,516,613 4,549,840 2,274,920 1,137,460 568,730 284,365 853,096 426,548 213,274 106,637 319,912 159,956 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151

More profiles

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