λ
Harmonic Matrix

1,613,207

97 × 16631
Deficient Odd Composite

1,613,207 has digital root 2. The neighboring primes are 1613201 and 1613279; its proper-divisor sum differs from the starting integer by -1,596,478.

Prime Factor Structure

Factorization String 97 × 16631
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,629,936
Proper Divisor Sum 16,729
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1613201 ← → #1613279

Radix Representation

Decimal 1613207
Binary 110001001110110010111 (21 bits)
Octal 0o6116627
Hexadecimal 0x189D97

Divisor Catalog (4)

1 97 16,631 1,613,207

Collatz Trajectory (132 steps to reach 1)

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

1,613,207 4,839,622 2,419,811 7,259,434 3,629,717 10,889,152 5,444,576 2,722,288 1,361,144 680,572 340,286 170,143 510,430 255,215 765,646 382,823 1,148,470 574,235 1,722,706 861,353 2,584,060 1,292,030 646,015 1,938,046 969,023 2,907,070 1,453,535 4,360,606 2,180,303 6,540,910 3,270,455 9,811,366 4,905,683 14,717,050 7,358,525 22,075,576 11,037,788 5,518,894 2,759,447 8,278,342 4,139,171 12,417,514 6,208,757 18,626,272 9,313,136 4,656,568 2,328,284 1,164,142 582,071 1,746,214 873,107 2,619,322 1,309,661 3,928,984 1,964,492 982,246 491,123 1,473,370 736,685 2,210,056

More profiles

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