5,414,024

2³ × 7 × 11² × 17 × 47

5,414,024 factors as 2^3 × 7 × 11^2 × 17 × 47. Its 96 positive divisors give a proper-divisor sum of 8,375,416, so this integer is abundant. The Collatz stopping time is 307 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11^2 × 17 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,789,440

Proper Divisor Sum 8,375,416

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5414011 ← → #5414033

Radix Representation

Decimal	5414024
Binary	10100101001110010001000 (23 bits)
Octal	0o24516210
Hexadecimal	0x529C88

Divisor Catalog (60 of 96)

1 2 4 7 8 11 14 17 22 28 34 44 47 56 68 77 88 94 119 121 136 154 187 188 238 242 308 329 374 376 476 484 517 616 658 748 799 847 952 968 1,034 1,309 1,316 1,496 1,598 1,694 2,057 2,068 2,618 2,632 3,196 3,388 3,619 4,114 4,136 5,236 5,593 5,687 6,392 6,776

Collatz Trajectory (307 steps to reach 1)

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

5,414,024 2,707,012 1,353,506 676,753 2,030,260 1,015,130 507,565 1,522,696 761,348 380,674 190,337 571,012 285,506 142,753 428,260 214,130 107,065 321,196 160,598 80,299 240,898 120,449 361,348 180,674 90,337 271,012 135,506 67,753 203,260 101,630 50,815 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226

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