8,537,152

2⁶ × 13 × 31 × 331

8,537,152 is even and not a perfect square. Its factorization is 2^6 × 13 × 31 × 331 and its 56 divisors sum to 18,889,472.

Prime Factor Structure

Factorization String 2^6 × 13 × 31 × 331

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 18,889,472

Proper Divisor Sum 10,352,320

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8537101 ← → #8537153

Radix Representation

Decimal	8537152
Binary	100000100100010001000000 (24 bits)
Octal	0o40442100
Hexadecimal	0x824440

Divisor Catalog (56)

1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 331 403 416 496 662 806 832 992 1,324 1,612 1,984 2,648 3,224 4,303 5,296 6,448 8,606 10,261 10,592 12,896 17,212 20,522 21,184 25,792 34,424 41,044 68,848 82,088 133,393 137,696 164,176 266,786 275,392 328,352 533,572 656,704 1,067,144 2,134,288 4,268,576 8,537,152

Collatz Trajectory (168 steps to reach 1)

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

8,537,152 4,268,576 2,134,288 1,067,144 533,572 266,786 133,393 400,180 200,090 100,045 300,136 150,068 75,034 37,517 112,552 56,276 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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