λ
Harmonic Matrix

1,610,417

1610417
Deficient Odd Prime

1,610,417 has digital root 2. The neighboring primes are 1610387 and 1610423; its proper-divisor sum differs from the starting integer by -1,610,416.

Prime Factor Structure

Factorization String 1610417
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,610,418
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1610387 ← → #1610423

Radix Representation

Decimal 1610417
Binary 110001001001010110001 (21 bits)
Octal 0o6111261
Hexadecimal 0x1892B1

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

1,610,417 4,831,252 2,415,626 1,207,813 3,623,440 1,811,720 905,860 452,930 226,465 679,396 339,698 169,849 509,548 254,774 127,387 382,162 191,081 573,244 286,622 143,311 429,934 214,967 644,902 322,451 967,354 483,677 1,451,032 725,516 362,758 181,379 544,138 272,069 816,208 408,104 204,052 102,026 51,013 153,040 76,520 38,260 19,130 9,565 28,696 14,348 7,174 3,587 10,762 5,381 16,144 8,072 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284

More profiles

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