53,001,046

2 × 7³ × 77261

53,001,046 factors as 2 × 7^3 × 77261. Its 16 positive divisors give a proper-divisor sum of 39,713,354, so this integer is deficient. The Collatz stopping time is 287 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 77261

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 92,714,400

Proper Divisor Sum 39,713,354

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #53001043 ← → #53001049

Radix Representation

Decimal	53001046
Binary	11001010001011101101010110 (26 bits)
Octal	0o312135526
Hexadecimal	0x328BB56

Divisor Catalog (16)

1 2 7 14 49 98 343 686 77,261 154,522 540,827 1,081,654 3,785,789 7,571,578 26,500,523 53,001,046

Collatz Trajectory (287 steps to reach 1)

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

53,001,046 26,500,523 79,501,570 39,750,785 119,252,356 59,626,178 29,813,089 89,439,268 44,719,634 22,359,817 67,079,452 33,539,726 16,769,863 50,309,590 25,154,795 75,464,386 37,732,193 113,196,580 56,598,290 28,299,145 84,897,436 42,448,718 21,224,359 63,673,078 31,836,539 95,509,618 47,754,809 143,264,428 71,632,214 35,816,107 107,448,322 53,724,161 161,172,484 80,586,242 40,293,121 120,879,364 60,439,682 30,219,841 90,659,524 45,329,762 22,664,881 67,994,644 33,997,322 16,998,661 50,995,984 25,497,992 12,748,996 6,374,498 3,187,249 9,561,748 4,780,874 2,390,437 7,171,312 3,585,656 1,792,828 896,414 448,207 1,344,622 672,311 2,016,934

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