λ
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Atlas › Integer Profiles › Node 39,010,965

39,010,965

3 × 5 × 7 × 199 × 1867
Deficient Odd Composite

39,010,965 factors as 3 × 5 × 7 × 199 × 1867. Its 32 positive divisors give a proper-divisor sum of 32,720,235, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 199 × 1867
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 71,731,200
Proper Divisor Sum 32,720,235
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #39010963 ← → #39010973

Radix Representation

Decimal 39010965
Binary 10010100110100001010010101 (26 bits)
Octal 0o224641225
Hexadecimal 0x2534295

Divisor Catalog (32)

1 3 5 7 15 21 35 105 199 597 995 1,393 1,867 2,985 4,179 5,601 6,965 9,335 13,069 20,895 28,005 39,207 65,345 196,035 371,533 1,114,599 1,857,665 2,600,731 5,572,995 7,802,193 13,003,655 39,010,965

Collatz Trajectory (196 steps to reach 1)

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

39,010,965 117,032,896 58,516,448 29,258,224 14,629,112 7,314,556 3,657,278 1,828,639 5,485,918 2,742,959 8,228,878 4,114,439 12,343,318 6,171,659 18,514,978 9,257,489 27,772,468 13,886,234 6,943,117 20,829,352 10,414,676 5,207,338 2,603,669 7,811,008 3,905,504 1,952,752 976,376 488,188 244,094 122,047 366,142 183,071 549,214 274,607 823,822 411,911 1,235,734 617,867 1,853,602 926,801 2,780,404 1,390,202 695,101 2,085,304 1,042,652 521,326 260,663 781,990 390,995 1,172,986 586,493 1,759,480 879,740 439,870 219,935 659,806 329,903 989,710 494,855 1,484,566

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