λ
Sigma Notebook

4,334,832

24 × 32 × 30103
Abundant Even Composite

4,334,832 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 30103 and its 30 divisors sum to 12,131,912.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 30103
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 12,131,912
Proper Divisor Sum 7,797,080
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4334801 ← → #4334839

Radix Representation

Decimal 4334832
Binary 10000100010010011110000 (23 bits)
Octal 0o20422360
Hexadecimal 0x4224F0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 30,103 60,206 90,309 120,412 180,618 240,824 270,927 361,236 481,648 541,854 722,472 1,083,708 1,444,944 2,167,416 4,334,832

Collatz Trajectory (149 steps to reach 1)

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

4,334,832 2,167,416 1,083,708 541,854 270,927 812,782 406,391 1,219,174 609,587 1,828,762 914,381 2,743,144 1,371,572 685,786 342,893 1,028,680 514,340 257,170 128,585 385,756 192,878 96,439 289,318 144,659 433,978 216,989 650,968 325,484 162,742 81,371 244,114 122,057 366,172 183,086 91,543 274,630 137,315 411,946 205,973 617,920 308,960 154,480 77,240 38,620 19,310 9,655 28,966 14,483 43,450 21,725 65,176 32,588 16,294 8,147 24,442 12,221 36,664 18,332 9,166 4,583

More profiles

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