λ
Sigma Notebook

1,532,619

32 × 11 × 113 × 137
Deficient Odd Composite

1,532,619 is odd and not a perfect square. Its factorization is 3^2 × 11 × 113 × 137 and its 24 divisors sum to 2,454,192.

Prime Factor Structure

Factorization String 3^2 × 11 × 113 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,454,192
Proper Divisor Sum 921,573
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1532611 ← → #1532627

Radix Representation

Decimal 1532619
Binary 101110110001011001011 (21 bits)
Octal 0o5661313
Hexadecimal 0x1762CB

Divisor Catalog (24)

1 3 9 11 33 99 113 137 339 411 1,017 1,233 1,243 1,507 3,729 4,521 11,187 13,563 15,481 46,443 139,329 170,291 510,873 1,532,619

Collatz Trajectory (225 steps to reach 1)

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

1,532,619 4,597,858 2,298,929 6,896,788 3,448,394 1,724,197 5,172,592 2,586,296 1,293,148 646,574 323,287 969,862 484,931 1,454,794 727,397 2,182,192 1,091,096 545,548 272,774 136,387 409,162 204,581 613,744 306,872 153,436 76,718 38,359 115,078 57,539 172,618 86,309 258,928 129,464 64,732 32,366 16,183 48,550 24,275 72,826 36,413 109,240 54,620 27,310 13,655 40,966 20,483 61,450 30,725 92,176 46,088 23,044 11,522 5,761 17,284 8,642 4,321 12,964 6,482 3,241 9,724

More profiles

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