λ
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Atlas › Integer Profiles › Node 1,889,720

1,889,720

23 × 5 × 7 × 17 × 397
Abundant Even Composite

1,889,720 factors as 2^3 × 5 × 7 × 17 × 397. Its 64 positive divisors give a proper-divisor sum of 3,268,360, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 17 × 397
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,158,080
Proper Divisor Sum 3,268,360
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1889717 ← → #1889743

Radix Representation

Decimal 1889720
Binary 111001101010110111000 (21 bits)
Octal 0o7152670
Hexadecimal 0x1CD5B8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 397 476 595 680 794 952 1,190 1,588 1,985 2,380 2,779 3,176 3,970 4,760 5,558 6,749 7,940 11,116 13,498 13,895 15,880 22,232 26,996 27,790 33,745 47,243 53,992 55,580 67,490 94,486 111,160 134,980 188,972 236,215 269,960

Collatz Trajectory (78 steps to reach 1)

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

1,889,720 944,860 472,430 236,215 708,646 354,323 1,062,970 531,485 1,594,456 797,228 398,614 199,307 597,922 298,961 896,884 448,442 224,221 672,664 336,332 168,166 84,083 252,250 126,125 378,376 189,188 94,594 47,297 141,892 70,946 35,473 106,420 53,210 26,605 79,816 39,908 19,954 9,977 29,932 14,966 7,483 22,450 11,225 33,676 16,838 8,419 25,258 12,629 37,888 18,944 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56

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