λ
Sequence Observatory

5,599,632

24 × 3 × 43 × 2713
Abundant Even Composite

Starting at 5,599,632, the Collatz iteration reaches 1 after 232 steps. The first transition is 2799816; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 43 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 14,807,584
Proper Divisor Sum 9,207,952
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5599591 ← → #5599637

Radix Representation

Decimal 5599632
Binary 10101010111000110010000 (23 bits)
Octal 0o25270620
Hexadecimal 0x557190

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1,032 2,064 2,713 5,426 8,139 10,852 16,278 21,704 32,556 43,408 65,112 116,659 130,224 233,318 349,977 466,636 699,954 933,272 1,399,908 1,866,544 2,799,816 5,599,632

Collatz Trajectory (232 steps to reach 1)

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

5,599,632 2,799,816 1,399,908 699,954 349,977 1,049,932 524,966 262,483 787,450 393,725 1,181,176 590,588 295,294 147,647 442,942 221,471 664,414 332,207 996,622 498,311 1,494,934 747,467 2,242,402 1,121,201 3,363,604 1,681,802 840,901 2,522,704 1,261,352 630,676 315,338 157,669 473,008 236,504 118,252 59,126 29,563 88,690 44,345 133,036 66,518 33,259 99,778 49,889 149,668 74,834 37,417 112,252 56,126 28,063 84,190 42,095 126,286 63,143 189,430 94,715 284,146 142,073 426,220 213,110

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