8,045,024

2⁵ × 13 × 83 × 233

8,045,024 factors as 2^5 × 13 × 83 × 233. Its 48 positive divisors give a proper-divisor sum of 9,291,568, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 83 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,336,592

Proper Divisor Sum 9,291,568

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8045017 ← → #8045047

Radix Representation

Decimal	8045024
Binary	11110101100000111100000 (23 bits)
Octal	0o36540740
Hexadecimal	0x7AC1E0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 83 104 166 208 233 332 416 466 664 932 1,079 1,328 1,864 2,158 2,656 3,029 3,728 4,316 6,058 7,456 8,632 12,116 17,264 19,339 24,232 34,528 38,678 48,464 77,356 96,928 154,712 251,407 309,424 502,814 618,848 1,005,628 2,011,256 4,022,512 8,045,024

Collatz Trajectory (137 steps to reach 1)

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

8,045,024 4,022,512 2,011,256 1,005,628 502,814 251,407 754,222 377,111 1,131,334 565,667 1,697,002 848,501 2,545,504 1,272,752 636,376 318,188 159,094 79,547 238,642 119,321 357,964 178,982 89,491 268,474 134,237 402,712 201,356 100,678 50,339 151,018 75,509 226,528 113,264 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507

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