λ
Sigma Notebook

5,432,130

2 × 33 × 5 × 11 × 31 × 59
Abundant Even Composite

5,432,130 is even and not a perfect square. Its factorization is 2 × 3^3 × 5 × 11 × 31 × 59 and its 128 divisors sum to 16,588,800.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 31 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 16,588,800
Proper Divisor Sum 11,156,670
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #5432107 ← → #5432143

Radix Representation

Decimal 5432130
Binary 10100101110001101000010 (23 bits)
Octal 0o24561502
Hexadecimal 0x52E342

Divisor Catalog (60 of 128)

1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 59 62 66 90 93 99 110 118 135 155 165 177 186 198 270 279 295 297 310 330 341 354 465 495 531 558 590 594 649 682 837 885 930 990 1,023 1,062 1,298 1,395 1,485 1,593 1,674 1,705

Collatz Trajectory (139 steps to reach 1)

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

5,432,130 2,716,065 8,148,196 4,074,098 2,037,049 6,111,148 3,055,574 1,527,787 4,583,362 2,291,681 6,875,044 3,437,522 1,718,761 5,156,284 2,578,142 1,289,071 3,867,214 1,933,607 5,800,822 2,900,411 8,701,234 4,350,617 13,051,852 6,525,926 3,262,963 9,788,890 4,894,445 14,683,336 7,341,668 3,670,834 1,835,417 5,506,252 2,753,126 1,376,563 4,129,690 2,064,845 6,194,536 3,097,268 1,548,634 774,317 2,322,952 1,161,476 580,738 290,369 871,108 435,554 217,777 653,332 326,666 163,333 490,000 245,000 122,500 61,250 30,625 91,876 45,938 22,969 68,908 34,454

More profiles

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