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Atlas › Integer Profiles › Node 1,545,885

1,545,885

34 × 5 × 11 × 347
Deficient Odd Composite

1,545,885 factors as 3^4 × 5 × 11 × 347. Its 40 positive divisors give a proper-divisor sum of 1,485,891, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 11 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,031,776
Proper Divisor Sum 1,485,891
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1545871 ← → #1545911

Radix Representation

Decimal 1545885
Binary 101111001011010011101 (21 bits)
Octal 0o5713235
Hexadecimal 0x17969D

Divisor Catalog (40)

1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 347 405 495 891 1,041 1,485 1,735 3,123 3,817 4,455 5,205 9,369 11,451 15,615 19,085 28,107 34,353 46,845 57,255 103,059 140,535 171,765 309,177 515,295 1,545,885

Collatz Trajectory (194 steps to reach 1)

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

1,545,885 4,637,656 2,318,828 1,159,414 579,707 1,739,122 869,561 2,608,684 1,304,342 652,171 1,956,514 978,257 2,934,772 1,467,386 733,693 2,201,080 1,100,540 550,270 275,135 825,406 412,703 1,238,110 619,055 1,857,166 928,583 2,785,750 1,392,875 4,178,626 2,089,313 6,267,940 3,133,970 1,566,985 4,700,956 2,350,478 1,175,239 3,525,718 1,762,859 5,288,578 2,644,289 7,932,868 3,966,434 1,983,217 5,949,652 2,974,826 1,487,413 4,462,240 2,231,120 1,115,560 557,780 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805

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