λ
Prime Ledger

743,353

13 × 211 × 271
Deficient Odd Composite

743,353 has the prime decomposition 13 × 211 × 271. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 211 × 271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 807,296
Proper Divisor Sum 63,943
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #743339 ← → #743363

Radix Representation

Decimal 743353
Binary 10110101011110111001 (20 bits)
Octal 0o2653671
Hexadecimal 0xB57B9

Divisor Catalog (8)

1 13 211 271 2,743 3,523 57,181 743,353

Collatz Trajectory (92 steps to reach 1)

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

743,353 2,230,060 1,115,030 557,515 1,672,546 836,273 2,508,820 1,254,410 627,205 1,881,616 940,808 470,404 235,202 117,601 352,804 176,402 88,201 264,604 132,302 66,151 198,454 99,227 297,682 148,841 446,524 223,262 111,631 334,894 167,447 502,342 251,171 753,514 376,757 1,130,272 565,136 282,568 141,284 70,642 35,321 105,964 52,982 26,491 79,474 39,737 119,212 59,606 29,803 89,410 44,705 134,116 67,058 33,529 100,588 50,294 25,147 75,442 37,721 113,164 56,582 28,291

More profiles

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