48,358,024

2³ × 11 × 13 × 41 × 1031

48,358,024 factors as 2^3 × 11 × 13 × 41 × 1031. Its 64 positive divisors give a proper-divisor sum of 60,868,856, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 13 × 41 × 1031

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 109,226,880

Proper Divisor Sum 60,868,856

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #48358019 ← → #48358031

Radix Representation

Decimal	48358024
Binary	10111000011110001010001000 (26 bits)
Octal	0o270361210
Hexadecimal	0x2E1E288

Divisor Catalog (60 of 64)

1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 286 328 451 533 572 902 1,031 1,066 1,144 1,804 2,062 2,132 3,608 4,124 4,264 5,863 8,248 11,341 11,726 13,403 22,682 23,452 26,806 42,271 45,364 46,904 53,612 84,542 90,728 107,224 147,433 169,084 294,866 338,168 464,981 549,523 589,732 929,962 1,099,046 1,179,464 1,859,924 2,198,092 3,719,848 4,396,184

Collatz Trajectory (98 steps to reach 1)

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

48,358,024 24,179,012 12,089,506 6,044,753 18,134,260 9,067,130 4,533,565 13,600,696 6,800,348 3,400,174 1,700,087 5,100,262 2,550,131 7,650,394 3,825,197 11,475,592 5,737,796 2,868,898 1,434,449 4,303,348 2,151,674 1,075,837 3,227,512 1,613,756 806,878 403,439 1,210,318 605,159 1,815,478 907,739 2,723,218 1,361,609 4,084,828 2,042,414 1,021,207 3,063,622 1,531,811 4,595,434 2,297,717 6,893,152 3,446,576 1,723,288 861,644 430,822 215,411 646,234 323,117 969,352 484,676 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119

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