λ
Prime Ledger

4,406,275

52 × 337 × 523
Deficient Odd Composite

4,406,275 has the prime decomposition 5^2 × 337 × 523. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 337 × 523
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,490,472
Proper Divisor Sum 1,084,197
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4406267 ← → #4406287

Radix Representation

Decimal 4406275
Binary 10000110011110000000011 (23 bits)
Octal 0o20636003
Hexadecimal 0x433C03

Divisor Catalog (12)

1 5 25 337 523 1,685 2,615 8,425 13,075 176,251 881,255 4,406,275

Collatz Trajectory (211 steps to reach 1)

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

4,406,275 13,218,826 6,609,413 19,828,240 9,914,120 4,957,060 2,478,530 1,239,265 3,717,796 1,858,898 929,449 2,788,348 1,394,174 697,087 2,091,262 1,045,631 3,136,894 1,568,447 4,705,342 2,352,671 7,058,014 3,529,007 10,587,022 5,293,511 15,880,534 7,940,267 23,820,802 11,910,401 35,731,204 17,865,602 8,932,801 26,798,404 13,399,202 6,699,601 20,098,804 10,049,402 5,024,701 15,074,104 7,537,052 3,768,526 1,884,263 5,652,790 2,826,395 8,479,186 4,239,593 12,718,780 6,359,390 3,179,695 9,539,086 4,769,543 14,308,630 7,154,315 21,462,946 10,731,473 32,194,420 16,097,210 8,048,605 24,145,816 12,072,908 6,036,454

More profiles

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