λ
Harmonic Matrix

1,588,716

22 × 32 × 44131
Abundant Even Composite

1,588,716 has digital root 9. The neighboring primes are 1588711 and 1588729; its proper-divisor sum differs from the starting integer by 838,580.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 44131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,016,012
Proper Divisor Sum 2,427,296
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1588711 ← → #1588729

Radix Representation

Decimal 1588716
Binary 110000011110111101100 (21 bits)
Octal 0o6036754
Hexadecimal 0x183DEC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 44,131 88,262 132,393 176,524 264,786 397,179 529,572 794,358 1,588,716

Collatz Trajectory (101 steps to reach 1)

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

1,588,716 794,358 397,179 1,191,538 595,769 1,787,308 893,654 446,827 1,340,482 670,241 2,010,724 1,005,362 502,681 1,508,044 754,022 377,011 1,131,034 565,517 1,696,552 848,276 424,138 212,069 636,208 318,104 159,052 79,526 39,763 119,290 59,645 178,936 89,468 44,734 22,367 67,102 33,551 100,654 50,327 150,982 75,491 226,474 113,237 339,712 169,856 84,928 42,464 21,232 10,616 5,308 2,654 1,327 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084

More profiles

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