λ
Sigma Notebook

7,228,835

5 × 19 × 47 × 1619
Deficient Odd Composite

7,228,835 is odd and not a perfect square. Its factorization is 5 × 19 × 47 × 1619 and its 16 divisors sum to 9,331,200.

Prime Factor Structure

Factorization String 5 × 19 × 47 × 1619
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,331,200
Proper Divisor Sum 2,102,365
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7228817 ← → #7228853

Radix Representation

Decimal 7228835
Binary 11011100100110110100011 (23 bits)
Octal 0o33446643
Hexadecimal 0x6E4DA3

Divisor Catalog (16)

1 5 19 47 95 235 893 1,619 4,465 8,095 30,761 76,093 153,805 380,465 1,445,767 7,228,835

Collatz Trajectory (90 steps to reach 1)

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

7,228,835 21,686,506 10,843,253 32,529,760 16,264,880 8,132,440 4,066,220 2,033,110 1,016,555 3,049,666 1,524,833 4,574,500 2,287,250 1,143,625 3,430,876 1,715,438 857,719 2,573,158 1,286,579 3,859,738 1,929,869 5,789,608 2,894,804 1,447,402 723,701 2,171,104 1,085,552 542,776 271,388 135,694 67,847 203,542 101,771 305,314 152,657 457,972 228,986 114,493 343,480 171,740 85,870 42,935 128,806 64,403 193,210 96,605 289,816 144,908 72,454 36,227 108,682 54,341 163,024 81,512 40,756 20,378 10,189 30,568 15,284 7,642

More profiles

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