λ
Prime Ledger

9,019,842

2 × 3 × 13 × 197 × 587
Abundant Even Composite

9,019,842 has the prime decomposition 2 × 3 × 13 × 197 × 587. Its 5 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 197 × 587
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,559,232
Proper Divisor Sum 10,539,390
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9019831 ← → #9019847

Radix Representation

Decimal 9019842
Binary 100010011010000111000010 (24 bits)
Octal 0o42320702
Hexadecimal 0x89A1C2

Divisor Catalog (32)

1 2 3 6 13 26 39 78 197 394 587 591 1,174 1,182 1,761 2,561 3,522 5,122 7,631 7,683 15,262 15,366 22,893 45,786 115,639 231,278 346,917 693,834 1,503,307 3,006,614 4,509,921 9,019,842

Collatz Trajectory (137 steps to reach 1)

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

9,019,842 4,509,921 13,529,764 6,764,882 3,382,441 10,147,324 5,073,662 2,536,831 7,610,494 3,805,247 11,415,742 5,707,871 17,123,614 8,561,807 25,685,422 12,842,711 38,528,134 19,264,067 57,792,202 28,896,101 86,688,304 43,344,152 21,672,076 10,836,038 5,418,019 16,254,058 8,127,029 24,381,088 12,190,544 6,095,272 3,047,636 1,523,818 761,909 2,285,728 1,142,864 571,432 285,716 142,858 71,429 214,288 107,144 53,572 26,786 13,393 40,180 20,090 10,045 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538

More profiles

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