λ
Harmonic Matrix

8,488,897

487 × 17431
Deficient Odd Composite

8,488,897 has digital root 7. The neighboring primes are 8488891 and 8488901; its proper-divisor sum differs from the starting integer by -8,470,978.

Prime Factor Structure

Factorization String 487 × 17431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,506,816
Proper Divisor Sum 17,919
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #8488891 ← → #8488901

Radix Representation

Decimal 8488897
Binary 100000011000011111000001 (24 bits)
Octal 0o40303701
Hexadecimal 0x8187C1

Divisor Catalog (4)

1 487 17,431 8,488,897

Collatz Trajectory (106 steps to reach 1)

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

8,488,897 25,466,692 12,733,346 6,366,673 19,100,020 9,550,010 4,775,005 14,325,016 7,162,508 3,581,254 1,790,627 5,371,882 2,685,941 8,057,824 4,028,912 2,014,456 1,007,228 503,614 251,807 755,422 377,711 1,133,134 566,567 1,699,702 849,851 2,549,554 1,274,777 3,824,332 1,912,166 956,083 2,868,250 1,434,125 4,302,376 2,151,188 1,075,594 537,797 1,613,392 806,696 403,348 201,674 100,837 302,512 151,256 75,628 37,814 18,907 56,722 28,361 85,084 42,542 21,271 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974

More profiles

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