λ
Harmonic Matrix

8,984,402

2 × 7 × 59 × 73 × 149
Deficient Even Composite

8,984,402 has digital root 8. The neighboring primes are 8984399 and 8984407; its proper-divisor sum differs from the starting integer by -1,984,804.

Prime Factor Structure

Factorization String 2 × 7 × 59 × 73 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,984,000
Proper Divisor Sum 6,999,598
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8984399 ← → #8984407

Radix Representation

Decimal 8984402
Binary 100010010001011101010010 (24 bits)
Octal 0o42213522
Hexadecimal 0x891752

Divisor Catalog (32)

1 2 7 14 59 73 118 146 149 298 413 511 826 1,022 1,043 2,086 4,307 8,614 8,791 10,877 17,582 21,754 30,149 60,298 61,537 76,139 123,074 152,278 641,743 1,283,486 4,492,201 8,984,402

Collatz Trajectory (212 steps to reach 1)

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

8,984,402 4,492,201 13,476,604 6,738,302 3,369,151 10,107,454 5,053,727 15,161,182 7,580,591 22,741,774 11,370,887 34,112,662 17,056,331 51,168,994 25,584,497 76,753,492 38,376,746 19,188,373 57,565,120 28,782,560 14,391,280 7,195,640 3,597,820 1,798,910 899,455 2,698,366 1,349,183 4,047,550 2,023,775 6,071,326 3,035,663 9,106,990 4,553,495 13,660,486 6,830,243 20,490,730 10,245,365 30,736,096 15,368,048 7,684,024 3,842,012 1,921,006 960,503 2,881,510 1,440,755 4,322,266 2,161,133 6,483,400 3,241,700 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729 2,735,188 1,367,594 683,797 2,051,392

More profiles

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