8,661,216

2⁵ × 3 × 83 × 1087

Starting at 8,661,216, the Collatz iteration reaches 1 after 212 steps. The first transition is 4330608; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 83 × 1087

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,030,784

Proper Divisor Sum 14,369,568

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8661203 ← → #8661217

Radix Representation

Decimal	8661216
Binary	100001000010100011100000 (24 bits)
Octal	0o41024340
Hexadecimal	0x8428E0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1,087 1,328 1,992 2,174 2,656 3,261 3,984 4,348 6,522 7,968 8,696 13,044 17,392 26,088 34,784 52,176 90,221 104,352 180,442 270,663 360,884 541,326 721,768 1,082,652 1,443,536 2,165,304 2,887,072 4,330,608 8,661,216

Collatz Trajectory (212 steps to reach 1)

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

8,661,216 4,330,608 2,165,304 1,082,652 541,326 270,663 811,990 405,995 1,217,986 608,993 1,826,980 913,490 456,745 1,370,236 685,118 342,559 1,027,678 513,839 1,541,518 770,759 2,312,278 1,156,139 3,468,418 1,734,209 5,202,628 2,601,314 1,300,657 3,901,972 1,950,986 975,493 2,926,480 1,463,240 731,620 365,810 182,905 548,716 274,358 137,179 411,538 205,769 617,308 308,654 154,327 462,982 231,491 694,474 347,237 1,041,712 520,856 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935

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