880,272

2⁴ × 3² × 6113

Starting at 880,272, the Collatz iteration reaches 1 after 95 steps. The first transition is 440136; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 6113

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 2,463,942

Proper Divisor Sum 1,583,670

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #880259 ← → #880283

Radix Representation

Decimal	880272
Binary	11010110111010010000 (20 bits)
Octal	0o3267220
Hexadecimal	0xD6E90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6,113 12,226 18,339 24,452 36,678 48,904 55,017 73,356 97,808 110,034 146,712 220,068 293,424 440,136 880,272

Collatz Trajectory (95 steps to reach 1)

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

880,272 440,136 220,068 110,034 55,017 165,052 82,526 41,263 123,790 61,895 185,686 92,843 278,530 139,265 417,796 208,898 104,449 313,348 156,674 78,337 235,012 117,506 58,753 176,260 88,130 44,065 132,196 66,098 33,049 99,148 49,574 24,787 74,362 37,181 111,544 55,772 27,886 13,943 41,830 20,915 62,746 31,373 94,120 47,060 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588

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