λ
Harmonic Matrix

9,585,979

13 × 29 × 47 × 541
Deficient Odd Composite

9,585,979 has digital root 7. The neighboring primes are 9585971 and 9585991; its proper-divisor sum differs from the starting integer by -8,245,238.

Prime Factor Structure

Factorization String 13 × 29 × 47 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,926,720
Proper Divisor Sum 1,340,741
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #9585971 ← → #9585991

Radix Representation

Decimal 9585979
Binary 100100100100010100111011 (24 bits)
Octal 0o44442473
Hexadecimal 0x92453B

Divisor Catalog (16)

1 13 29 47 377 541 611 1,363 7,033 15,689 17,719 25,427 203,957 330,551 737,383 9,585,979

Collatz Trajectory (194 steps to reach 1)

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

9,585,979 28,757,938 14,378,969 43,136,908 21,568,454 10,784,227 32,352,682 16,176,341 48,529,024 24,264,512 12,132,256 6,066,128 3,033,064 1,516,532 758,266 379,133 1,137,400 568,700 284,350 142,175 426,526 213,263 639,790 319,895 959,686 479,843 1,439,530 719,765 2,159,296 1,079,648 539,824 269,912 134,956 67,478 33,739 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691

More profiles

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