10,828,024

2³ × 19 × 71237

10,828,024 factors as 2^3 × 19 × 71237. Its 16 positive divisors give a proper-divisor sum of 10,543,376, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 71237

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 21,371,400

Proper Divisor Sum 10,543,376

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10828019 ← → #10828033

Radix Representation

Decimal	10828024
Binary	101001010011100011111000 (24 bits)
Octal	0o51234370
Hexadecimal	0xA538F8

Divisor Catalog (16)

1 2 4 8 19 38 76 152 71,237 142,474 284,948 569,896 1,353,503 2,707,006 5,414,012 10,828,024

Collatz Trajectory (171 steps to reach 1)

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

10,828,024 5,414,012 2,707,006 1,353,503 4,060,510 2,030,255 6,090,766 3,045,383 9,136,150 4,568,075 13,704,226 6,852,113 20,556,340 10,278,170 5,139,085 15,417,256 7,708,628 3,854,314 1,927,157 5,781,472 2,890,736 1,445,368 722,684 361,342 180,671 542,014 271,007 813,022 406,511 1,219,534 609,767 1,829,302 914,651 2,743,954 1,371,977 4,115,932 2,057,966 1,028,983 3,086,950 1,543,475 4,630,426 2,315,213 6,945,640 3,472,820 1,736,410 868,205 2,604,616 1,302,308 651,154 325,577 976,732 488,366 244,183 732,550 366,275 1,098,826 549,413 1,648,240 824,120 412,060

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