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Atlas › Integer Profiles › Node 16,675,932

16,675,932

22 × 3 × 7 × 13 × 15271
Abundant Even Composite

16,675,932 factors as 2^2 × 3 × 7 × 13 × 15271. Its 48 positive divisors give a proper-divisor sum of 31,217,060, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 15271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 47,892,992
Proper Divisor Sum 31,217,060
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #16675927 ← → #16675951

Radix Representation

Decimal 16675932
Binary 111111100111010001011100 (24 bits)
Octal 0o77472134
Hexadecimal 0xFE745C

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 15,271 30,542 45,813 61,084 91,626 106,897 183,252 198,523 213,794 320,691 397,046 427,588 595,569 641,382 794,092 1,191,138 1,282,764 1,389,661 2,382,276 2,779,322 4,168,983 5,558,644 8,337,966 16,675,932

Collatz Trajectory (213 steps to reach 1)

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

16,675,932 8,337,966 4,168,983 12,506,950 6,253,475 18,760,426 9,380,213 28,140,640 14,070,320 7,035,160 3,517,580 1,758,790 879,395 2,638,186 1,319,093 3,957,280 1,978,640 989,320 494,660 247,330 123,665 370,996 185,498 92,749 278,248 139,124 69,562 34,781 104,344 52,172 26,086 13,043 39,130 19,565 58,696 29,348 14,674 7,337 22,012 11,006 5,503 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633

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