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Atlas › Integer Profiles › Node 1,445,192

1,445,192

23 × 7 × 131 × 197
Abundant Even Composite

1,445,192 factors as 2^3 × 7 × 131 × 197. Its 32 positive divisors give a proper-divisor sum of 1,691,128, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 131 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,136,320
Proper Divisor Sum 1,691,128
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1445179 ← → #1445207

Radix Representation

Decimal 1445192
Binary 101100000110101001000 (21 bits)
Octal 0o5406510
Hexadecimal 0x160D48

Divisor Catalog (32)

1 2 4 7 8 14 28 56 131 197 262 394 524 788 917 1,048 1,379 1,576 1,834 2,758 3,668 5,516 7,336 11,032 25,807 51,614 103,228 180,649 206,456 361,298 722,596 1,445,192

Collatz Trajectory (119 steps to reach 1)

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

1,445,192 722,596 361,298 180,649 541,948 270,974 135,487 406,462 203,231 609,694 304,847 914,542 457,271 1,371,814 685,907 2,057,722 1,028,861 3,086,584 1,543,292 771,646 385,823 1,157,470 578,735 1,736,206 868,103 2,604,310 1,302,155 3,906,466 1,953,233 5,859,700 2,929,850 1,464,925 4,394,776 2,197,388 1,098,694 549,347 1,648,042 824,021 2,472,064 1,236,032 618,016 309,008 154,504 77,252 38,626 19,313 57,940 28,970 14,485 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529

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