λ
Harmonic Matrix

1,564,098

2 × 3 × 73 × 3571
Abundant Even Composite

1,564,098 has digital root 6. The neighboring primes are 1564097 and 1564103; its proper-divisor sum differs from the starting integer by 43,740.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 3571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,171,936
Proper Divisor Sum 1,607,838
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1564097 ← → #1564103

Radix Representation

Decimal 1564098
Binary 101111101110111000010 (21 bits)
Octal 0o5756702
Hexadecimal 0x17DDC2

Divisor Catalog (16)

1 2 3 6 73 146 219 438 3,571 7,142 10,713 21,426 260,683 521,366 782,049 1,564,098

Collatz Trajectory (106 steps to reach 1)

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

1,564,098 782,049 2,346,148 1,173,074 586,537 1,759,612 879,806 439,903 1,319,710 659,855 1,979,566 989,783 2,969,350 1,484,675 4,454,026 2,227,013 6,681,040 3,340,520 1,670,260 835,130 417,565 1,252,696 626,348 313,174 156,587 469,762 234,881 704,644 352,322 176,161 528,484 264,242 132,121 396,364 198,182 99,091 297,274 148,637 445,912 222,956 111,478 55,739 167,218 83,609 250,828 125,414 62,707 188,122 94,061 282,184 141,092 70,546 35,273 105,820 52,910 26,455 79,366 39,683 119,050 59,525

More profiles

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