λ
Sigma Notebook

742,754

2 × 101 × 3677
Deficient Even Composite

742,754 is even and not a perfect square. Its factorization is 2 × 101 × 3677 and its 8 divisors sum to 1,125,468.

Prime Factor Structure

Factorization String 2 × 101 × 3677
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,125,468
Proper Divisor Sum 382,714
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #742723 ← → #742757

Radix Representation

Decimal 742754
Binary 10110101010101100010 (20 bits)
Octal 0o2652542
Hexadecimal 0xB5562

Divisor Catalog (8)

1 2 101 202 3,677 7,354 371,377 742,754

Collatz Trajectory (149 steps to reach 1)

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

742,754 371,377 1,114,132 557,066 278,533 835,600 417,800 208,900 104,450 52,225 156,676 78,338 39,169 117,508 58,754 29,377 88,132 44,066 22,033 66,100 33,050 16,525 49,576 24,788 12,394 6,197 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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