λ
Integer Codex

4,429,271

7 × 11 × 23 × 41 × 61
Deficient Odd Composite

For 4,429,271, the 32 positive divisors have a total of 5,999,616. Removing 4,429,271 leaves 1,570,345, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 11 × 23 × 41 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,999,616
Proper Divisor Sum 1,570,345
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4429259 ← → #4429273

Radix Representation

Decimal 4429271
Binary 10000111001010111010111 (23 bits)
Octal 0o20712727
Hexadecimal 0x4395D7

Divisor Catalog (32)

1 7 11 23 41 61 77 161 253 287 427 451 671 943 1,403 1,771 2,501 3,157 4,697 6,601 9,821 10,373 15,433 17,507 27,511 57,523 72,611 108,031 192,577 402,661 632,753 4,429,271

Collatz Trajectory (423 steps to reach 1)

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

4,429,271 13,287,814 6,643,907 19,931,722 9,965,861 29,897,584 14,948,792 7,474,396 3,737,198 1,868,599 5,605,798 2,802,899 8,408,698 4,204,349 12,613,048 6,306,524 3,153,262 1,576,631 4,729,894 2,364,947 7,094,842 3,547,421 10,642,264 5,321,132 2,660,566 1,330,283 3,990,850 1,995,425 5,986,276 2,993,138 1,496,569 4,489,708 2,244,854 1,122,427 3,367,282 1,683,641 5,050,924 2,525,462 1,262,731 3,788,194 1,894,097 5,682,292 2,841,146 1,420,573 4,261,720 2,130,860 1,065,430 532,715 1,598,146 799,073 2,397,220 1,198,610 599,305 1,797,916 898,958 449,479 1,348,438 674,219 2,022,658 1,011,329

More profiles

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