λ
Harmonic Matrix

1,704,507

3 × 7 × 23 × 3529
Deficient Odd Composite

1,704,507 has digital root 6. The neighboring primes are 1704499 and 1704511; its proper-divisor sum differs from the starting integer by -697,974.

Prime Factor Structure

Factorization String 3 × 7 × 23 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,711,040
Proper Divisor Sum 1,006,533
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1704499 ← → #1704511

Radix Representation

Decimal 1704507
Binary 110100000001000111011 (21 bits)
Octal 0o6401073
Hexadecimal 0x1A023B

Divisor Catalog (16)

1 3 7 21 23 69 161 483 3,529 10,587 24,703 74,109 81,167 243,501 568,169 1,704,507

Collatz Trajectory (220 steps to reach 1)

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

1,704,507 5,113,522 2,556,761 7,670,284 3,835,142 1,917,571 5,752,714 2,876,357 8,629,072 4,314,536 2,157,268 1,078,634 539,317 1,617,952 808,976 404,488 202,244 101,122 50,561 151,684 75,842 37,921 113,764 56,882 28,441 85,324 42,662 21,331 63,994 31,997 95,992 47,996 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880

More profiles

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