λ
Harmonic Matrix

1,010,745

33 × 5 × 7487
Deficient Odd Composite

1,010,745 has digital root 9. The neighboring primes are 1010719 and 1010747; its proper-divisor sum differs from the starting integer by -224,370.

Prime Factor Structure

Factorization String 3^3 × 5 × 7487
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,797,120
Proper Divisor Sum 786,375
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1010719 ← → #1010747

Radix Representation

Decimal 1010745
Binary 11110110110000111001 (20 bits)
Octal 0o3666071
Hexadecimal 0xF6C39

Divisor Catalog (16)

1 3 5 9 15 27 45 135 7,487 22,461 37,435 67,383 112,305 202,149 336,915 1,010,745

Collatz Trajectory (183 steps to reach 1)

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

1,010,745 3,032,236 1,516,118 758,059 2,274,178 1,137,089 3,411,268 1,705,634 852,817 2,558,452 1,279,226 639,613 1,918,840 959,420 479,710 239,855 719,566 359,783 1,079,350 539,675 1,619,026 809,513 2,428,540 1,214,270 607,135 1,821,406 910,703 2,732,110 1,366,055 4,098,166 2,049,083 6,147,250 3,073,625 9,220,876 4,610,438 2,305,219 6,915,658 3,457,829 10,373,488 5,186,744 2,593,372 1,296,686 648,343 1,945,030 972,515 2,917,546 1,458,773 4,376,320 2,188,160 1,094,080 547,040 273,520 136,760 68,380 34,190 17,095 51,286 25,643 76,930 38,465

More profiles

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