λ
Sigma Notebook

5,300,736

29 × 3 × 7 × 17 × 29
Abundant Even Composite

5,300,736 is even and not a perfect square. Its factorization is 2^9 × 3 × 7 × 17 × 29 and its 160 divisors sum to 17,677,440.

Prime Factor Structure

Factorization String 2^9 × 3 × 7 × 17 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 17,677,440
Proper Divisor Sum 12,376,704
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5300723 ← → #5300761

Radix Representation

Decimal 5300736
Binary 10100001110001000000000 (23 bits)
Octal 0o24161000
Hexadecimal 0x50E200

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 64 68 84 87 96 102 112 116 119 128 136 168 174 192 203 204 224 232 238 256 272 336 348 357 384 406 408 448 464 476 493 512 544 609 672 696 714 768

Collatz Trajectory (113 steps to reach 1)

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

5,300,736 2,650,368 1,325,184 662,592 331,296 165,648 82,824 41,412 20,706 10,353 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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