8,017,152

2⁸ × 3 × 11 × 13 × 73

Starting at 8,017,152, the Collatz iteration reaches 1 after 62 steps. The first transition is 4008576; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 3 × 11 × 13 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 25,411,008

Proper Divisor Sum 17,393,856

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8017117 ← → #8017159

Radix Representation

Decimal	8017152
Binary	11110100101010100000000 (23 bits)
Octal	0o36452400
Hexadecimal	0x7A5500

Divisor Catalog (60 of 144)

1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 73 78 88 96 104 128 132 143 146 156 176 192 208 219 256 264 286 292 312 352 384 416 429 438 528 572 584 624 704 768 803 832 858 876 949 1,056 1,144 1,168 1,248

Collatz Trajectory (62 steps to reach 1)

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

8,017,152 4,008,576 2,004,288 1,002,144 501,072 250,536 125,268 62,634 31,317 93,952 46,976 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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