λ
Harmonic Matrix

1,019,704

23 × 7 × 131 × 139
Abundant Even Composite

1,019,704 has digital root 4. The neighboring primes are 1019701 and 1019713; its proper-divisor sum differs from the starting integer by 178,192.

Prime Factor Structure

Factorization String 2^3 × 7 × 131 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,217,600
Proper Divisor Sum 1,197,896
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1019701 ← → #1019713

Radix Representation

Decimal 1019704
Binary 11111000111100111000 (20 bits)
Octal 0o3707470
Hexadecimal 0xF8F38

Divisor Catalog (32)

1 2 4 7 8 14 28 56 131 139 262 278 524 556 917 973 1,048 1,112 1,834 1,946 3,668 3,892 7,336 7,784 18,209 36,418 72,836 127,463 145,672 254,926 509,852 1,019,704

Collatz Trajectory (196 steps to reach 1)

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

1,019,704 509,852 254,926 127,463 382,390 191,195 573,586 286,793 860,380 430,190 215,095 645,286 322,643 967,930 483,965 1,451,896 725,948 362,974 181,487 544,462 272,231 816,694 408,347 1,225,042 612,521 1,837,564 918,782 459,391 1,378,174 689,087 2,067,262 1,033,631 3,100,894 1,550,447 4,651,342 2,325,671 6,977,014 3,488,507 10,465,522 5,232,761 15,698,284 7,849,142 3,924,571 11,773,714 5,886,857 17,660,572 8,830,286 4,415,143 13,245,430 6,622,715 19,868,146 9,934,073 29,802,220 14,901,110 7,450,555 22,351,666 11,175,833 33,527,500 16,763,750 8,381,875

More profiles

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