λ
Harmonic Matrix

8,421,745

5 × 29 × 2412
Deficient Odd Composite

8,421,745 has digital root 4. The neighboring primes are 8421737 and 8421757; its proper-divisor sum differs from the starting integer by -6,345,350.

Prime Factor Structure

Factorization String 5 × 29 × 241^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,498,140
Proper Divisor Sum 2,076,395
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8421737 ← → #8421757

Radix Representation

Decimal 8421745
Binary 100000001000000101110001 (24 bits)
Octal 0o40100561
Hexadecimal 0x808171

Divisor Catalog (12)

1 5 29 145 241 1,205 6,989 34,945 58,081 290,405 1,684,349 8,421,745

Collatz Trajectory (106 steps to reach 1)

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

8,421,745 25,265,236 12,632,618 6,316,309 18,948,928 9,474,464 4,737,232 2,368,616 1,184,308 592,154 296,077 888,232 444,116 222,058 111,029 333,088 166,544 83,272 41,636 20,818 10,409 31,228 15,614 7,807 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484

More profiles

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