λ
Harmonic Matrix

1,501,346

2 × 7 × 11 × 9749
Deficient Even Composite

1,501,346 has digital root 2. The neighboring primes are 1501343 and 1501351; its proper-divisor sum differs from the starting integer by -194,692.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 9749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,808,000
Proper Divisor Sum 1,306,654
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1501343 ← → #1501351

Radix Representation

Decimal 1501346
Binary 101101110100010100010 (21 bits)
Octal 0o5564242
Hexadecimal 0x16E8A2

Divisor Catalog (16)

1 2 7 11 14 22 77 154 9,749 19,498 68,243 107,239 136,486 214,478 750,673 1,501,346

Collatz Trajectory (88 steps to reach 1)

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

1,501,346 750,673 2,252,020 1,126,010 563,005 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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