λ
Prime Ledger

1,749,996

22 × 32 × 48611
Abundant Even Composite

1,749,996 has the prime decomposition 2^2 × 3^2 × 48611. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 48611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 4,423,692
Proper Divisor Sum 2,673,696
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1749991 ← → #1750009

Radix Representation

Decimal 1749996
Binary 110101011001111101100 (21 bits)
Octal 0o6531754
Hexadecimal 0x1AB3EC

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 48,611 97,222 145,833 194,444 291,666 437,499 583,332 874,998 1,749,996

Collatz Trajectory (251 steps to reach 1)

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

1,749,996 874,998 437,499 1,312,498 656,249 1,968,748 984,374 492,187 1,476,562 738,281 2,214,844 1,107,422 553,711 1,661,134 830,567 2,491,702 1,245,851 3,737,554 1,868,777 5,606,332 2,803,166 1,401,583 4,204,750 2,102,375 6,307,126 3,153,563 9,460,690 4,730,345 14,191,036 7,095,518 3,547,759 10,643,278 5,321,639 15,964,918 7,982,459 23,947,378 11,973,689 35,921,068 17,960,534 8,980,267 26,940,802 13,470,401 40,411,204 20,205,602 10,102,801 30,308,404 15,154,202 7,577,101 22,731,304 11,365,652 5,682,826 2,841,413 8,524,240 4,262,120 2,131,060 1,065,530 532,765 1,598,296 799,148 399,574

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