λ
Harmonic Matrix

1,704,605

5 × 7 × 113 × 431
Deficient Odd Composite

1,704,605 has digital root 5. The neighboring primes are 1704601 and 1704611; its proper-divisor sum differs from the starting integer by -1,045,306.

Prime Factor Structure

Factorization String 5 × 7 × 113 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,363,904
Proper Divisor Sum 659,299
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1704601 ← → #1704611

Radix Representation

Decimal 1704605
Binary 110100000001010011101 (21 bits)
Octal 0o6401235
Hexadecimal 0x1A029D

Divisor Catalog (16)

1 5 7 35 113 431 565 791 2,155 3,017 3,955 15,085 48,703 243,515 340,921 1,704,605

Collatz Trajectory (127 steps to reach 1)

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

1,704,605 5,113,816 2,556,908 1,278,454 639,227 1,917,682 958,841 2,876,524 1,438,262 719,131 2,157,394 1,078,697 3,236,092 1,618,046 809,023 2,427,070 1,213,535 3,640,606 1,820,303 5,460,910 2,730,455 8,191,366 4,095,683 12,287,050 6,143,525 18,430,576 9,215,288 4,607,644 2,303,822 1,151,911 3,455,734 1,727,867 5,183,602 2,591,801 7,775,404 3,887,702 1,943,851 5,831,554 2,915,777 8,747,332 4,373,666 2,186,833 6,560,500 3,280,250 1,640,125 4,920,376 2,460,188 1,230,094 615,047 1,845,142 922,571 2,767,714 1,383,857 4,151,572 2,075,786 1,037,893 3,113,680 1,556,840 778,420 389,210

More profiles

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