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Atlas › Integer Profiles › Node 1,783,536

1,783,536

24 × 3 × 73 × 509
Abundant Even Composite

1,783,536 factors as 2^4 × 3 × 73 × 509. Its 40 positive divisors give a proper-divisor sum of 2,896,224, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 73 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,679,760
Proper Divisor Sum 2,896,224
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1783531 ← → #1783543

Radix Representation

Decimal 1783536
Binary 110110011011011110000 (21 bits)
Octal 0o6633360
Hexadecimal 0x1B36F0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 509 584 876 1,018 1,168 1,527 1,752 2,036 3,054 3,504 4,072 6,108 8,144 12,216 24,432 37,157 74,314 111,471 148,628 222,942 297,256 445,884 594,512 891,768 1,783,536

Collatz Trajectory (145 steps to reach 1)

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

1,783,536 891,768 445,884 222,942 111,471 334,414 167,207 501,622 250,811 752,434 376,217 1,128,652 564,326 282,163 846,490 423,245 1,269,736 634,868 317,434 158,717 476,152 238,076 119,038 59,519 178,558 89,279 267,838 133,919 401,758 200,879 602,638 301,319 903,958 451,979 1,355,938 677,969 2,033,908 1,016,954 508,477 1,525,432 762,716 381,358 190,679 572,038 286,019 858,058 429,029 1,287,088 643,544 321,772 160,886 80,443 241,330 120,665 361,996 180,998 90,499 271,498 135,749 407,248

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