λ
Prime Ledger

1,980,252

22 × 32 × 67 × 821
Abundant Even Composite

1,980,252 has the prime decomposition 2^2 × 3^2 × 67 × 821. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 67 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,086,536
Proper Divisor Sum 3,106,284
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1980247 ← → #1980263

Radix Representation

Decimal 1980252
Binary 111100011011101011100 (21 bits)
Octal 0o7433534
Hexadecimal 0x1E375C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 821 1,206 1,642 2,412 2,463 3,284 4,926 7,389 9,852 14,778 29,556 55,007 110,014 165,021 220,028 330,042 495,063 660,084 990,126 1,980,252

Collatz Trajectory (215 steps to reach 1)

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

1,980,252 990,126 495,063 1,485,190 742,595 2,227,786 1,113,893 3,341,680 1,670,840 835,420 417,710 208,855 626,566 313,283 939,850 469,925 1,409,776 704,888 352,444 176,222 88,111 264,334 132,167 396,502 198,251 594,754 297,377 892,132 446,066 223,033 669,100 334,550 167,275 501,826 250,913 752,740 376,370 188,185 564,556 282,278 141,139 423,418 211,709 635,128 317,564 158,782 79,391 238,174 119,087 357,262 178,631 535,894 267,947 803,842 401,921 1,205,764 602,882 301,441 904,324 452,162

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