864,116

2² × 11 × 41 × 479

Starting at 864,116, the Collatz iteration reaches 1 after 95 steps. The first transition is 432058; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 41 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,693,440

Proper Divisor Sum 829,324

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #864107 ← → #864119

Radix Representation

Decimal	864116
Binary	11010010111101110100 (20 bits)
Octal	0o3227564
Hexadecimal	0xD2F74

Divisor Catalog (24)

1 2 4 11 22 41 44 82 164 451 479 902 958 1,804 1,916 5,269 10,538 19,639 21,076 39,278 78,556 216,029 432,058 864,116

Collatz Trajectory (95 steps to reach 1)

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

864,116 432,058 216,029 648,088 324,044 162,022 81,011 243,034 121,517 364,552 182,276 91,138 45,569 136,708 68,354 34,177 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917

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