λ
Harmonic Matrix

3,704,107

11 × 19 × 37 × 479
Deficient Odd Composite

3,704,107 has digital root 4. The neighboring primes are 3704087 and 3704111; its proper-divisor sum differs from the starting integer by -3,030,614.

Prime Factor Structure

Factorization String 11 × 19 × 37 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,377,600
Proper Divisor Sum 673,493
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3704087 ← → #3704111

Radix Representation

Decimal 3704107
Binary 1110001000010100101011 (22 bits)
Octal 0o16102453
Hexadecimal 0x38852B

Divisor Catalog (16)

1 11 19 37 209 407 479 703 5,269 7,733 9,101 17,723 100,111 194,953 336,737 3,704,107

Collatz Trajectory (84 steps to reach 1)

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

3,704,107 11,112,322 5,556,161 16,668,484 8,334,242 4,167,121 12,501,364 6,250,682 3,125,341 9,376,024 4,688,012 2,344,006 1,172,003 3,516,010 1,758,005 5,274,016 2,637,008 1,318,504 659,252 329,626 164,813 494,440 247,220 123,610 61,805 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653

More profiles

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