λ
Harmonic Matrix

1,111,982

2 × 613 × 907
Deficient Even Composite

1,111,982 has digital root 5. The neighboring primes are 1111967 and 1111991; its proper-divisor sum differs from the starting integer by -551,428.

Prime Factor Structure

Factorization String 2 × 613 × 907
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,672,536
Proper Divisor Sum 560,554
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1111967 ← → #1111991

Radix Representation

Decimal 1111982
Binary 100001111011110101110 (21 bits)
Octal 0o4173656
Hexadecimal 0x10F7AE

Divisor Catalog (8)

1 2 613 907 1,226 1,814 555,991 1,111,982

Collatz Trajectory (85 steps to reach 1)

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

1,111,982 555,991 1,667,974 833,987 2,501,962 1,250,981 3,752,944 1,876,472 938,236 469,118 234,559 703,678 351,839 1,055,518 527,759 1,583,278 791,639 2,374,918 1,187,459 3,562,378 1,781,189 5,343,568 2,671,784 1,335,892 667,946 333,973 1,001,920 500,960 250,480 125,240 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196

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