9,018,156

2² × 3 × 7⁴ × 313

Starting at 9,018,156, the Collatz iteration reaches 1 after 88 steps. The first transition is 4509078; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^4 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 24,626,392

Proper Divisor Sum 15,608,236

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9018131 ← → #9018161

Radix Representation

Decimal	9018156
Binary	100010011001101100101100 (24 bits)
Octal	0o42315454
Hexadecimal	0x899B2C

Divisor Catalog (60)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 313 343 588 626 686 939 1,029 1,252 1,372 1,878 2,058 2,191 2,401 3,756 4,116 4,382 4,802 6,573 7,203 8,764 9,604 13,146 14,406 15,337 26,292 28,812 30,674 46,011 61,348 92,022 107,359 184,044 214,718 322,077 429,436 644,154 751,513 1,288,308 1,503,026 2,254,539 3,006,052 4,509,078 9,018,156

Collatz Trajectory (88 steps to reach 1)

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

9,018,156 4,509,078 2,254,539 6,763,618 3,381,809 10,145,428 5,072,714 2,536,357 7,609,072 3,804,536 1,902,268 951,134 475,567 1,426,702 713,351 2,140,054 1,070,027 3,210,082 1,605,041 4,815,124 2,407,562 1,203,781 3,611,344 1,805,672 902,836 451,418 225,709 677,128 338,564 169,282 84,641 253,924 126,962 63,481 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589

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