λ
Harmonic Matrix

1,501,347

3 × 193 × 2593
Deficient Odd Composite

1,501,347 has digital root 3. The neighboring primes are 1501343 and 1501351; its proper-divisor sum differs from the starting integer by -989,750.

Prime Factor Structure

Factorization String 3 × 193 × 2593
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,012,944
Proper Divisor Sum 511,597
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1501343 ← → #1501351

Radix Representation

Decimal 1501347
Binary 101101110100010100011 (21 bits)
Octal 0o5564243
Hexadecimal 0x16E8A3

Divisor Catalog (8)

1 3 193 579 2,593 7,779 500,449 1,501,347

Collatz Trajectory (88 steps to reach 1)

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

1,501,347 4,504,042 2,252,021 6,756,064 3,378,032 1,689,016 844,508 422,254 211,127 633,382 316,691 950,074 475,037 1,425,112 712,556 356,278 178,139 534,418 267,209 801,628 400,814 200,407 601,222 300,611 901,834 450,917 1,352,752 676,376 338,188 169,094 84,547 253,642 126,821 380,464 190,232 95,116 47,558 23,779 71,338 35,669 107,008 53,504 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268

More profiles

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