1,026,216

2³ × 3³ × 4751

Starting at 1,026,216, the Collatz iteration reaches 1 after 152 steps. The first transition is 513108; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 4751

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,851,200

Proper Divisor Sum 1,824,984

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1026199 ← → #1026217

Radix Representation

Decimal	1026216
Binary	11111010100010101000 (20 bits)
Octal	0o3724250
Hexadecimal	0xFA8A8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4,751 9,502 14,253 19,004 28,506 38,008 42,759 57,012 85,518 114,024 128,277 171,036 256,554 342,072 513,108 1,026,216

Collatz Trajectory (152 steps to reach 1)

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

1,026,216 513,108 256,554 128,277 384,832 192,416 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182

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