λ
Harmonic Matrix

3,811,997

7 × 23 × 23677
Deficient Odd Composite

3,811,997 has digital root 2. The neighboring primes are 3811979 and 3812023; its proper-divisor sum differs from the starting integer by -3,077,818.

Prime Factor Structure

Factorization String 7 × 23 × 23677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,546,176
Proper Divisor Sum 734,179
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3811979 ← → #3812023

Radix Representation

Decimal 3811997
Binary 1110100010101010011101 (22 bits)
Octal 0o16425235
Hexadecimal 0x3A2A9D

Divisor Catalog (8)

1 7 23 161 23,677 165,739 544,571 3,811,997

Collatz Trajectory (141 steps to reach 1)

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

3,811,997 11,435,992 5,717,996 2,858,998 1,429,499 4,288,498 2,144,249 6,432,748 3,216,374 1,608,187 4,824,562 2,412,281 7,236,844 3,618,422 1,809,211 5,427,634 2,713,817 8,141,452 4,070,726 2,035,363 6,106,090 3,053,045 9,159,136 4,579,568 2,289,784 1,144,892 572,446 286,223 858,670 429,335 1,288,006 644,003 1,932,010 966,005 2,898,016 1,449,008 724,504 362,252 181,126 90,563 271,690 135,845 407,536 203,768 101,884 50,942 25,471 76,414 38,207 114,622 57,311 171,934 85,967 257,902 128,951 386,854 193,427 580,282 290,141 870,424

More profiles

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