9,072,270

2 × 3³ × 5 × 33601

Starting at 9,072,270, the Collatz iteration reaches 1 after 256 steps. The first transition is 4536135; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 33601

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,193,440

Proper Divisor Sum 15,121,170

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9072247 ← → #9072299

Radix Representation

Decimal	9072270
Binary	100010100110111010001110 (24 bits)
Octal	0o42467216
Hexadecimal	0x8A6E8E

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 33,601 67,202 100,803 168,005 201,606 302,409 336,010 504,015 604,818 907,227 1,008,030 1,512,045 1,814,454 3,024,090 4,536,135 9,072,270

Collatz Trajectory (256 steps to reach 1)

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

9,072,270 4,536,135 13,608,406 6,804,203 20,412,610 10,206,305 30,618,916 15,309,458 7,654,729 22,964,188 11,482,094 5,741,047 17,223,142 8,611,571 25,834,714 12,917,357 38,752,072 19,376,036 9,688,018 4,844,009 14,532,028 7,266,014 3,633,007 10,899,022 5,449,511 16,348,534 8,174,267 24,522,802 12,261,401 36,784,204 18,392,102 9,196,051 27,588,154 13,794,077 41,382,232 20,691,116 10,345,558 5,172,779 15,518,338 7,759,169 23,277,508 11,638,754 5,819,377 17,458,132 8,729,066 4,364,533 13,093,600 6,546,800 3,273,400 1,636,700 818,350 409,175 1,227,526 613,763 1,841,290 920,645 2,761,936 1,380,968 690,484 345,242

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