λ
Sigma Notebook

1,969,272

23 × 35 × 1013
Abundant Even Composite

1,969,272 is even and not a perfect square. Its factorization is 2^3 × 3^5 × 1013 and its 48 divisors sum to 5,536,440.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 1013
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,536,440
Proper Divisor Sum 3,567,168
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1969249 ← → #1969273

Radix Representation

Decimal 1969272
Binary 111100000110001111000 (21 bits)
Octal 0o7406170
Hexadecimal 0x1E0C78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1,013 1,944 2,026 3,039 4,052 6,078 8,104 9,117 12,156 18,234 24,312 27,351 36,468 54,702 72,936 82,053 109,404 164,106 218,808 246,159 328,212 492,318 656,424 984,636 1,969,272

Collatz Trajectory (259 steps to reach 1)

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

1,969,272 984,636 492,318 246,159 738,478 369,239 1,107,718 553,859 1,661,578 830,789 2,492,368 1,246,184 623,092 311,546 155,773 467,320 233,660 116,830 58,415 175,246 87,623 262,870 131,435 394,306 197,153 591,460 295,730 147,865 443,596 221,798 110,899 332,698 166,349 499,048 249,524 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207 66,622 33,311 99,934 49,967 149,902 74,951

More profiles

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