3,722,824

2³ × 7² × 9497

3,722,824 has digital root 1. The neighboring primes are 3722819 and 3722827; its proper-divisor sum differs from the starting integer by 675,142.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 9497

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,120,790

Proper Divisor Sum 4,397,966

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3722819 ← → #3722827

Radix Representation

Decimal	3722824
Binary	1110001100111001001000 (22 bits)
Octal	0o16147110
Hexadecimal	0x38CE48

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 9,497 18,994 37,988 66,479 75,976 132,958 265,916 465,353 531,832 930,706 1,861,412 3,722,824

Collatz Trajectory (172 steps to reach 1)

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

3,722,824 1,861,412 930,706 465,353 1,396,060 698,030 349,015 1,047,046 523,523 1,570,570 785,285 2,355,856 1,177,928 588,964 294,482 147,241 441,724 220,862 110,431 331,294 165,647 496,942 248,471 745,414 372,707 1,118,122 559,061 1,677,184 838,592 419,296 209,648 104,824 52,412 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997 20,992 10,496 5,248 2,624 1,312 656

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