λ
Harmonic Matrix

3,706,953

3 × 1235651
Deficient Odd Composite

3,706,953 has digital root 6. The neighboring primes are 3706931 and 3706961; its proper-divisor sum differs from the starting integer by -2,471,298.

Prime Factor Structure

Factorization String 3 × 1235651
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,942,608
Proper Divisor Sum 1,235,655
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3706931 ← → #3706961

Radix Representation

Decimal 3706953
Binary 1110001001000001001001 (22 bits)
Octal 0o16110111
Hexadecimal 0x389049

Divisor Catalog (4)

1 3 1,235,651 3,706,953

Collatz Trajectory (115 steps to reach 1)

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

3,706,953 11,120,860 5,560,430 2,780,215 8,340,646 4,170,323 12,510,970 6,255,485 18,766,456 9,383,228 4,691,614 2,345,807 7,037,422 3,518,711 10,556,134 5,278,067 15,834,202 7,917,101 23,751,304 11,875,652 5,937,826 2,968,913 8,906,740 4,453,370 2,226,685 6,680,056 3,340,028 1,670,014 835,007 2,505,022 1,252,511 3,757,534 1,878,767 5,636,302 2,818,151 8,454,454 4,227,227 12,681,682 6,340,841 19,022,524 9,511,262 4,755,631 14,266,894 7,133,447 21,400,342 10,700,171 32,100,514 16,050,257 48,150,772 24,075,386 12,037,693 36,113,080 18,056,540 9,028,270 4,514,135 13,542,406 6,771,203 20,313,610 10,156,805 30,470,416

More profiles

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