λ
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4,402,008

23 × 32 × 13 × 4703
Abundant Even Composite

4,402,008 factors as 2^3 × 3^2 × 13 × 4703. Its 48 positive divisors give a proper-divisor sum of 8,439,912, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 4703
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,841,920
Proper Divisor Sum 8,439,912
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4402007 ← → #4402009

Radix Representation

Decimal 4402008
Binary 10000110010101101011000 (23 bits)
Octal 0o20625530
Hexadecimal 0x432B58

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4,703 9,406 14,109 18,812 28,218 37,624 42,327 56,436 61,139 84,654 112,872 122,278 169,308 183,417 244,556 338,616 366,834 489,112 550,251 733,668 1,100,502 1,467,336 2,201,004 4,402,008

Collatz Trajectory (87 steps to reach 1)

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

4,402,008 2,201,004 1,100,502 550,251 1,650,754 825,377 2,476,132 1,238,066 619,033 1,857,100 928,550 464,275 1,392,826 696,413 2,089,240 1,044,620 522,310 261,155 783,466 391,733 1,175,200 587,600 293,800 146,900 73,450 36,725 110,176 55,088 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 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

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