λ
Sigma Notebook

1,978,695

33 × 5 × 14657
Deficient Odd Composite

1,978,695 is odd and not a perfect square. Its factorization is 3^3 × 5 × 14657 and its 16 divisors sum to 3,517,920.

Prime Factor Structure

Factorization String 3^3 × 5 × 14657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,517,920
Proper Divisor Sum 1,539,225
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1978693 ← → #1978709

Radix Representation

Decimal 1978695
Binary 111100011000101000111 (21 bits)
Octal 0o7430507
Hexadecimal 0x1E3147

Divisor Catalog (16)

1 3 5 9 15 27 45 135 14,657 43,971 73,285 131,913 219,855 395,739 659,565 1,978,695

Collatz Trajectory (145 steps to reach 1)

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

1,978,695 5,936,086 2,968,043 8,904,130 4,452,065 13,356,196 6,678,098 3,339,049 10,017,148 5,008,574 2,504,287 7,512,862 3,756,431 11,269,294 5,634,647 16,903,942 8,451,971 25,355,914 12,677,957 38,033,872 19,016,936 9,508,468 4,754,234 2,377,117 7,131,352 3,565,676 1,782,838 891,419 2,674,258 1,337,129 4,011,388 2,005,694 1,002,847 3,008,542 1,504,271 4,512,814 2,256,407 6,769,222 3,384,611 10,153,834 5,076,917 15,230,752 7,615,376 3,807,688 1,903,844 951,922 475,961 1,427,884 713,942 356,971 1,070,914 535,457 1,606,372 803,186 401,593 1,204,780 602,390 301,195 903,586 451,793

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