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Atlas › Integer Profiles › Node 98,691,996

98,691,996

22 × 3 × 13 × 449 × 1409
Abundant Even Composite

98,691,996 factors as 2^2 × 3 × 13 × 449 × 1409. Its 48 positive divisors give a proper-divisor sum of 150,032,004, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 449 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 248,724,000
Proper Divisor Sum 150,032,004
Digit Sum / Digital Root 57 (Root: 3)
Adjacent Primes #98691973 ← → #98691997

Radix Representation

Decimal 98691996
Binary 101111000011110101110011100 (27 bits)
Octal 0o570365634
Hexadecimal 0x5E1EB9C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 449 898 1,347 1,409 1,796 2,694 2,818 4,227 5,388 5,636 5,837 8,454 11,674 16,908 17,511 18,317 23,348 35,022 36,634 54,951 70,044 73,268 109,902 219,804 632,641 1,265,282 1,897,923 2,530,564 3,795,846 7,591,692 8,224,333 16,448,666 24,672,999 32,897,332 49,345,998 98,691,996

Collatz Trajectory (306 steps to reach 1)

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

98,691,996 49,345,998 24,672,999 74,018,998 37,009,499 111,028,498 55,514,249 166,542,748 83,271,374 41,635,687 124,907,062 62,453,531 187,360,594 93,680,297 281,040,892 140,520,446 70,260,223 210,780,670 105,390,335 316,171,006 158,085,503 474,256,510 237,128,255 711,384,766 355,692,383 1,067,077,150 533,538,575 1,600,615,726 800,307,863 2,400,923,590 1,200,461,795 3,601,385,386 1,800,692,693 5,402,078,080 2,701,039,040 1,350,519,520 675,259,760 337,629,880 168,814,940 84,407,470 42,203,735 126,611,206 63,305,603 189,916,810 94,958,405 284,875,216 142,437,608 71,218,804 35,609,402 17,804,701 53,414,104 26,707,052 13,353,526 6,676,763 20,030,290 10,015,145 30,045,436 15,022,718 7,511,359 22,534,078

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