λ
Harmonic Matrix

8,428,470

2 × 3 × 5 × 280949
Abundant Even Composite

8,428,470 has digital root 6. The neighboring primes are 8428439 and 8428471; its proper-divisor sum differs from the starting integer by 3,371,460.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 280949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,228,400
Proper Divisor Sum 11,799,930
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8428439 ← → #8428471

Radix Representation

Decimal 8428470
Binary 100000001001101110110110 (24 bits)
Octal 0o40115666
Hexadecimal 0x809BB6

Divisor Catalog (16)

1 2 3 5 6 10 15 30 280,949 561,898 842,847 1,404,745 1,685,694 2,809,490 4,214,235 8,428,470

Collatz Trajectory (155 steps to reach 1)

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

8,428,470 4,214,235 12,642,706 6,321,353 18,964,060 9,482,030 4,741,015 14,223,046 7,111,523 21,334,570 10,667,285 32,001,856 16,000,928 8,000,464 4,000,232 2,000,116 1,000,058 500,029 1,500,088 750,044 375,022 187,511 562,534 281,267 843,802 421,901 1,265,704 632,852 316,426 158,213 474,640 237,320 118,660 59,330 29,665 88,996 44,498 22,249 66,748 33,374 16,687 50,062 25,031 75,094 37,547 112,642 56,321 168,964 84,482 42,241 126,724 63,362 31,681 95,044 47,522 23,761 71,284 35,642 17,821 53,464

More profiles

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