λ
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Atlas › Integer Profiles › Node 38,980,952

38,980,952

23 × 232 × 61 × 151
Abundant Even Composite

38,980,952 factors as 2^3 × 23^2 × 61 × 151. Its 48 positive divisors give a proper-divisor sum of 39,191,128, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 23^2 × 61 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,172,080
Proper Divisor Sum 39,191,128
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #38980927 ← → #38980967

Radix Representation

Decimal 38980952
Binary 10010100101100110101011000 (26 bits)
Octal 0o224546530
Hexadecimal 0x252CD58

Divisor Catalog (48)

1 2 4 8 23 46 61 92 122 151 184 244 302 488 529 604 1,058 1,208 1,403 2,116 2,806 3,473 4,232 5,612 6,946 9,211 11,224 13,892 18,422 27,784 32,269 36,844 64,538 73,688 79,879 129,076 159,758 211,853 258,152 319,516 423,706 639,032 847,412 1,694,824 4,872,619 9,745,238 19,490,476 38,980,952

Collatz Trajectory (121 steps to reach 1)

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

38,980,952 19,490,476 9,745,238 4,872,619 14,617,858 7,308,929 21,926,788 10,963,394 5,481,697 16,445,092 8,222,546 4,111,273 12,333,820 6,166,910 3,083,455 9,250,366 4,625,183 13,875,550 6,937,775 20,813,326 10,406,663 31,219,990 15,609,995 46,829,986 23,414,993 70,244,980 35,122,490 17,561,245 52,683,736 26,341,868 13,170,934 6,585,467 19,756,402 9,878,201 29,634,604 14,817,302 7,408,651 22,225,954 11,112,977 33,338,932 16,669,466 8,334,733 25,004,200 12,502,100 6,251,050 3,125,525 9,376,576 4,688,288 2,344,144 1,172,072 586,036 293,018 146,509 439,528 219,764 109,882 54,941 164,824 82,412 41,206

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