λ
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4,420,104

23 × 3 × 13 × 31 × 457
Abundant Even Composite

4,420,104 factors as 2^3 × 3 × 13 × 31 × 457. Its 64 positive divisors give a proper-divisor sum of 7,890,936, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 31 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,311,040
Proper Divisor Sum 7,890,936
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4420081 ← → #4420127

Radix Representation

Decimal 4420104
Binary 10000110111001000001000 (23 bits)
Octal 0o20671010
Hexadecimal 0x437208

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 457 744 806 914 1,209 1,371 1,612 1,828 2,418 2,742 3,224 3,656 4,836 5,484 5,941 9,672 10,968 11,882 14,167 17,823 23,764 28,334 35,646 42,501 47,528 56,668 71,292 85,002 113,336 142,584 170,004 184,171 340,008 368,342 552,513 736,684

Collatz Trajectory (74 steps to reach 1)

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

4,420,104 2,210,052 1,105,026 552,513 1,657,540 828,770 414,385 1,243,156 621,578 310,789 932,368 466,184 233,092 116,546 58,273 174,820 87,410 43,705 131,116 65,558 32,779 98,338 49,169 147,508 73,754 36,877 110,632 55,316 27,658 13,829 41,488 20,744 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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