λ
Sigma Notebook

900,146

2 × 13 × 89 × 389
Deficient Even Composite

900,146 is even and not a perfect square. Its factorization is 2 × 13 × 89 × 389 and its 16 divisors sum to 1,474,200.

Prime Factor Structure

Factorization String 2 × 13 × 89 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,474,200
Proper Divisor Sum 574,054
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #900143 ← → #900149

Radix Representation

Decimal 900146
Binary 11011011110000110010 (20 bits)
Octal 0o3336062
Hexadecimal 0xDBC32

Divisor Catalog (16)

1 2 13 26 89 178 389 778 1,157 2,314 5,057 10,114 34,621 69,242 450,073 900,146

Collatz Trajectory (87 steps to reach 1)

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

900,146 450,073 1,350,220 675,110 337,555 1,012,666 506,333 1,519,000 759,500 379,750 189,875 569,626 284,813 854,440 427,220 213,610 106,805 320,416 160,208 80,104 40,052 20,026 10,013 30,040 15,020 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722

More profiles

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