λ
Harmonic Matrix

8,972,391

3 × 2990797
Deficient Odd Composite

8,972,391 has digital root 3. The neighboring primes are 8972371 and 8972407; its proper-divisor sum differs from the starting integer by -5,981,590.

Prime Factor Structure

Factorization String 3 × 2990797
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,963,192
Proper Divisor Sum 2,990,801
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8972371 ← → #8972407

Radix Representation

Decimal 8972391
Binary 100010001110100001100111 (24 bits)
Octal 0o42164147
Hexadecimal 0x88E867

Divisor Catalog (4)

1 3 2,990,797 8,972,391

Collatz Trajectory (212 steps to reach 1)

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

8,972,391 26,917,174 13,458,587 40,375,762 20,187,881 60,563,644 30,281,822 15,140,911 45,422,734 22,711,367 68,134,102 34,067,051 102,201,154 51,100,577 153,301,732 76,650,866 38,325,433 114,976,300 57,488,150 28,744,075 86,232,226 43,116,113 129,348,340 64,674,170 32,337,085 97,011,256 48,505,628 24,252,814 12,126,407 36,379,222 18,189,611 54,568,834 27,284,417 81,853,252 40,926,626 20,463,313 61,389,940 30,694,970 15,347,485 46,042,456 23,021,228 11,510,614 5,755,307 17,265,922 8,632,961 25,898,884 12,949,442 6,474,721 19,424,164 9,712,082 4,856,041 14,568,124 7,284,062 3,642,031 10,926,094 5,463,047 16,389,142 8,194,571 24,583,714 12,291,857

More profiles

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