λ
Harmonic Matrix

3,392,607

3 × 313 × 3613
Deficient Odd Composite

3,392,607 has digital root 3. The neighboring primes are 3392563 and 3392617; its proper-divisor sum differs from the starting integer by -2,246,030.

Prime Factor Structure

Factorization String 3 × 313 × 3613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,539,184
Proper Divisor Sum 1,146,577
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3392563 ← → #3392617

Radix Representation

Decimal 3392607
Binary 1100111100010001011111 (22 bits)
Octal 0o14742137
Hexadecimal 0x33C45F

Divisor Catalog (8)

1 3 313 939 3,613 10,839 1,130,869 3,392,607

Collatz Trajectory (159 steps to reach 1)

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

3,392,607 10,177,822 5,088,911 15,266,734 7,633,367 22,900,102 11,450,051 34,350,154 17,175,077 51,525,232 25,762,616 12,881,308 6,440,654 3,220,327 9,660,982 4,830,491 14,491,474 7,245,737 21,737,212 10,868,606 5,434,303 16,302,910 8,151,455 24,454,366 12,227,183 36,681,550 18,340,775 55,022,326 27,511,163 82,533,490 41,266,745 123,800,236 61,900,118 30,950,059 92,850,178 46,425,089 139,275,268 69,637,634 34,818,817 104,456,452 52,228,226 26,114,113 78,342,340 39,171,170 19,585,585 58,756,756 29,378,378 14,689,189 44,067,568 22,033,784 11,016,892 5,508,446 2,754,223 8,262,670 4,131,335 12,394,006 6,197,003 18,591,010 9,295,505 27,886,516

More profiles

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