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5,201,952

25 × 3 × 7 × 7741
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 7741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,607,872
Proper Divisor Sum 10,405,920
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5201951 ← → #5201969

Radix Representation

Decimal 5201952
Binary 10011110110000000100000 (23 bits)
Octal 0o23660040
Hexadecimal 0x4F6020

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 7,741 15,482 23,223 30,964 46,446 54,187 61,928 92,892 108,374 123,856 162,561 185,784 216,748 247,712 325,122 371,568 433,496 650,244 743,136 866,992 1,300,488 1,733,984 2,600,976 5,201,952

Collatz Trajectory (188 steps to reach 1)

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

5,201,952 2,600,976 1,300,488 650,244 325,122 162,561 487,684 243,842 121,921 365,764 182,882 91,441 274,324 137,162 68,581 205,744 102,872 51,436 25,718 12,859 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919

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