λ
Harmonic Matrix

8,980,221

3 × 2993407
Deficient Odd Composite

8,980,221 has digital root 3. The neighboring primes are 8980219 and 8980229; its proper-divisor sum differs from the starting integer by -5,986,810.

Prime Factor Structure

Factorization String 3 × 2993407
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,973,632
Proper Divisor Sum 2,993,411
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8980219 ← → #8980229

Radix Representation

Decimal 8980221
Binary 100010010000011011111101 (24 bits)
Octal 0o42203375
Hexadecimal 0x8906FD

Divisor Catalog (4)

1 3 2,993,407 8,980,221

Collatz Trajectory (212 steps to reach 1)

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

8,980,221 26,940,664 13,470,332 6,735,166 3,367,583 10,102,750 5,051,375 15,154,126 7,577,063 22,731,190 11,365,595 34,096,786 17,048,393 51,145,180 25,572,590 12,786,295 38,358,886 19,179,443 57,538,330 28,769,165 86,307,496 43,153,748 21,576,874 10,788,437 32,365,312 16,182,656 8,091,328 4,045,664 2,022,832 1,011,416 505,708 252,854 126,427 379,282 189,641 568,924 284,462 142,231 426,694 213,347 640,042 320,021 960,064 480,032 240,016 120,008 60,004 30,002 15,001 45,004 22,502 11,251 33,754 16,877 50,632 25,316 12,658 6,329 18,988 9,494

More profiles

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