λ
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Atlas › Integer Profiles › Node 30,449,146

30,449,146

2 × 7 × 13 × 293 × 571
Deficient Even Composite

30,449,146 factors as 2 × 7 × 13 × 293 × 571. Its 32 positive divisors give a proper-divisor sum of 26,055,302, so this integer is deficient. The Collatz stopping time is 312 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 293 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 56,504,448
Proper Divisor Sum 26,055,302
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #30449143 ← → #30449147

Radix Representation

Decimal 30449146
Binary 1110100001001110111111010 (25 bits)
Octal 0o164116772
Hexadecimal 0x1D09DFA

Divisor Catalog (32)

1 2 7 13 14 26 91 182 293 571 586 1,142 2,051 3,809 3,997 4,102 7,423 7,618 7,994 14,846 26,663 51,961 53,326 103,922 167,303 334,606 1,171,121 2,174,939 2,342,242 4,349,878 15,224,573 30,449,146

Collatz Trajectory (312 steps to reach 1)

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

30,449,146 15,224,573 45,673,720 22,836,860 11,418,430 5,709,215 17,127,646 8,563,823 25,691,470 12,845,735 38,537,206 19,268,603 57,805,810 28,902,905 86,708,716 43,354,358 21,677,179 65,031,538 32,515,769 97,547,308 48,773,654 24,386,827 73,160,482 36,580,241 109,740,724 54,870,362 27,435,181 82,305,544 41,152,772 20,576,386 10,288,193 30,864,580 15,432,290 7,716,145 23,148,436 11,574,218 5,787,109 17,361,328 8,680,664 4,340,332 2,170,166 1,085,083 3,255,250 1,627,625 4,882,876 2,441,438 1,220,719 3,662,158 1,831,079 5,493,238 2,746,619 8,239,858 4,119,929 12,359,788 6,179,894 3,089,947 9,269,842 4,634,921 13,904,764 6,952,382

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