10,052,824

2³ × 19 × 66137

10,052,824 factors as 2^3 × 19 × 66137. Its 16 positive divisors give a proper-divisor sum of 9,788,576, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 66137

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 19,841,400

Proper Divisor Sum 9,788,576

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #10052807 ← → #10052837

Radix Representation

Decimal	10052824
Binary	100110010110010011011000 (24 bits)
Octal	0o46262330
Hexadecimal	0x9964D8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 66,137 132,274 264,548 529,096 1,256,603 2,513,206 5,026,412 10,052,824

Collatz Trajectory (114 steps to reach 1)

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

10,052,824 5,026,412 2,513,206 1,256,603 3,769,810 1,884,905 5,654,716 2,827,358 1,413,679 4,241,038 2,120,519 6,361,558 3,180,779 9,542,338 4,771,169 14,313,508 7,156,754 3,578,377 10,735,132 5,367,566 2,683,783 8,051,350 4,025,675 12,077,026 6,038,513 18,115,540 9,057,770 4,528,885 13,586,656 6,793,328 3,396,664 1,698,332 849,166 424,583 1,273,750 636,875 1,910,626 955,313 2,865,940 1,432,970 716,485 2,149,456 1,074,728 537,364 268,682 134,341 403,024 201,512 100,756 50,378 25,189 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628

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