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Atlas › Integer Profiles › Node 1,662,876

1,662,876

22 × 33 × 89 × 173
Abundant Even Composite

1,662,876 factors as 2^2 × 3^3 × 89 × 173. Its 48 positive divisors give a proper-divisor sum of 2,721,924, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 89 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,384,800
Proper Divisor Sum 2,721,924
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1662863 ← → #1662883

Radix Representation

Decimal 1662876
Binary 110010101111110011100 (21 bits)
Octal 0o6257634
Hexadecimal 0x195F9C

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 89 108 173 178 267 346 356 519 534 692 801 1,038 1,068 1,557 1,602 2,076 2,403 3,114 3,204 4,671 4,806 6,228 9,342 9,612 15,397 18,684 30,794 46,191 61,588 92,382 138,573 184,764 277,146 415,719 554,292 831,438 1,662,876

Collatz Trajectory (207 steps to reach 1)

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

1,662,876 831,438 415,719 1,247,158 623,579 1,870,738 935,369 2,806,108 1,403,054 701,527 2,104,582 1,052,291 3,156,874 1,578,437 4,735,312 2,367,656 1,183,828 591,914 295,957 887,872 443,936 221,968 110,984 55,492 27,746 13,873 41,620 20,810 10,405 31,216 15,608 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556

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