λ
Sequence Observatory

4,394,832

24 × 3 × 13 × 7043
Abundant Even Composite

Starting at 4,394,832, the Collatz iteration reaches 1 after 87 steps. The first transition is 2197416; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 7043
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 12,228,384
Proper Divisor Sum 7,833,552
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4394827 ← → #4394837

Radix Representation

Decimal 4394832
Binary 10000110000111101010000 (23 bits)
Octal 0o20607520
Hexadecimal 0x430F50

Divisor Catalog (40)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 7,043 14,086 21,129 28,172 42,258 56,344 84,516 91,559 112,688 169,032 183,118 274,677 338,064 366,236 549,354 732,472 1,098,708 1,464,944 2,197,416 4,394,832

Collatz Trajectory (87 steps to reach 1)

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

4,394,832 2,197,416 1,098,708 549,354 274,677 824,032 412,016 206,008 103,004 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130

More profiles

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