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Atlas › Integer Profiles › Node 19,246,740

19,246,740

22 × 3 × 5 × 97 × 3307
Abundant Even Composite

19,246,740 factors as 2^2 × 3 × 5 × 97 × 3307. Its 48 positive divisors give a proper-divisor sum of 35,216,172, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 97 × 3307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,462,912
Proper Divisor Sum 35,216,172
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #19246739 ← → #19246741

Radix Representation

Decimal 19246740
Binary 1001001011010111010010100 (25 bits)
Octal 0o111327224
Hexadecimal 0x125AE94

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1,164 1,455 1,940 2,910 3,307 5,820 6,614 9,921 13,228 16,535 19,842 33,070 39,684 49,605 66,140 99,210 198,420 320,779 641,558 962,337 1,283,116 1,603,895 1,924,674 3,207,790 3,849,348 4,811,685 6,415,580 9,623,370 19,246,740

Collatz Trajectory (151 steps to reach 1)

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

19,246,740 9,623,370 4,811,685 14,435,056 7,217,528 3,608,764 1,804,382 902,191 2,706,574 1,353,287 4,059,862 2,029,931 6,089,794 3,044,897 9,134,692 4,567,346 2,283,673 6,851,020 3,425,510 1,712,755 5,138,266 2,569,133 7,707,400 3,853,700 1,926,850 963,425 2,890,276 1,445,138 722,569 2,167,708 1,083,854 541,927 1,625,782 812,891 2,438,674 1,219,337 3,658,012 1,829,006 914,503 2,743,510 1,371,755 4,115,266 2,057,633 6,172,900 3,086,450 1,543,225 4,629,676 2,314,838 1,157,419 3,472,258 1,736,129 5,208,388 2,604,194 1,302,097 3,906,292 1,953,146 976,573 2,929,720 1,464,860 732,430

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