8,914,152

2³ × 3 × 13 × 28571

Starting at 8,914,152, the Collatz iteration reaches 1 after 181 steps. The first transition is 4457076; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 28571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,000,480

Proper Divisor Sum 15,086,328

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8914141 ← → #8914153

Radix Representation

Decimal	8914152
Binary	100010000000010011101000 (24 bits)
Octal	0o42002350
Hexadecimal	0x8804E8

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 28,571 57,142 85,713 114,284 171,426 228,568 342,852 371,423 685,704 742,846 1,114,269 1,485,692 2,228,538 2,971,384 4,457,076 8,914,152

Collatz Trajectory (181 steps to reach 1)

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

8,914,152 4,457,076 2,228,538 1,114,269 3,342,808 1,671,404 835,702 417,851 1,253,554 626,777 1,880,332 940,166 470,083 1,410,250 705,125 2,115,376 1,057,688 528,844 264,422 132,211 396,634 198,317 594,952 297,476 148,738 74,369 223,108 111,554 55,777 167,332 83,666 41,833 125,500 62,750 31,375 94,126 47,063 141,190 70,595 211,786 105,893 317,680 158,840 79,420 39,710 19,855 59,566 29,783 89,350 44,675 134,026 67,013 201,040 100,520 50,260 25,130 12,565 37,696 18,848 9,424

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