λ
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6,415,136

25 × 7 × 13 × 2203
Abundant Even Composite

6,415,136 factors as 2^5 × 7 × 13 × 2203. Its 48 positive divisors give a proper-divisor sum of 9,136,288, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 2203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,551,424
Proper Divisor Sum 9,136,288
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6415133 ← → #6415139

Radix Representation

Decimal 6415136
Binary 11000011110001100100000 (23 bits)
Octal 0o30361440
Hexadecimal 0x61E320

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,203 2,912 4,406 8,812 15,421 17,624 28,639 30,842 35,248 57,278 61,684 70,496 114,556 123,368 200,473 229,112 246,736 400,946 458,224 493,472 801,892 916,448 1,603,784 3,207,568 6,415,136

Collatz Trajectory (240 steps to reach 1)

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

6,415,136 3,207,568 1,603,784 801,892 400,946 200,473 601,420 300,710 150,355 451,066 225,533 676,600 338,300 169,150 84,575 253,726 126,863 380,590 190,295 570,886 285,443 856,330 428,165 1,284,496 642,248 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718 5,359 16,078 8,039 24,118 12,059 36,178 18,089 54,268 27,134 13,567 40,702

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