λ
Sigma Notebook

1,323,525

3 × 52 × 7 × 2521
Deficient Odd Composite

1,323,525 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 2521 and its 24 divisors sum to 2,501,824.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 2521
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,501,824
Proper Divisor Sum 1,178,299
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1323503 ← → #1323529

Radix Representation

Decimal 1323525
Binary 101000011001000000101 (21 bits)
Octal 0o5031005
Hexadecimal 0x143205

Divisor Catalog (24)

1 3 5 7 15 21 25 35 75 105 175 525 2,521 7,563 12,605 17,647 37,815 52,941 63,025 88,235 189,075 264,705 441,175 1,323,525

Collatz Trajectory (124 steps to reach 1)

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

1,323,525 3,970,576 1,985,288 992,644 496,322 248,161 744,484 372,242 186,121 558,364 279,182 139,591 418,774 209,387 628,162 314,081 942,244 471,122 235,561 706,684 353,342 176,671 530,014 265,007 795,022 397,511 1,192,534 596,267 1,788,802 894,401 2,683,204 1,341,602 670,801 2,012,404 1,006,202 503,101 1,509,304 754,652 377,326 188,663 565,990 282,995 848,986 424,493 1,273,480 636,740 318,370 159,185 477,556 238,778 119,389 358,168 179,084 89,542 44,771 134,314 67,157 201,472 100,736 50,368

More profiles

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