λ
Harmonic Matrix

1,239,945

3 × 5 × 73 × 241
Deficient Odd Composite

1,239,945 has digital root 6. The neighboring primes are 1239943 and 1239961; its proper-divisor sum differs from the starting integer by -156,690.

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,323,200
Proper Divisor Sum 1,083,255
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1239943 ← → #1239961

Radix Representation

Decimal 1239945
Binary 100101110101110001001 (21 bits)
Octal 0o4565611
Hexadecimal 0x12EB89

Divisor Catalog (32)

1 3 5 7 15 21 35 49 105 147 241 245 343 723 735 1,029 1,205 1,687 1,715 3,615 5,061 5,145 8,435 11,809 25,305 35,427 59,045 82,663 177,135 247,989 413,315 1,239,945

Collatz Trajectory (173 steps to reach 1)

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

1,239,945 3,719,836 1,859,918 929,959 2,789,878 1,394,939 4,184,818 2,092,409 6,277,228 3,138,614 1,569,307 4,707,922 2,353,961 7,061,884 3,530,942 1,765,471 5,296,414 2,648,207 7,944,622 3,972,311 11,916,934 5,958,467 17,875,402 8,937,701 26,813,104 13,406,552 6,703,276 3,351,638 1,675,819 5,027,458 2,513,729 7,541,188 3,770,594 1,885,297 5,655,892 2,827,946 1,413,973 4,241,920 2,120,960 1,060,480 530,240 265,120 132,560 66,280 33,140 16,570 8,285 24,856 12,428 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312

More profiles

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