288,717

3 × 11 × 13 × 673

Starting at 288,717, the Collatz iteration reaches 1 after 96 steps. The first transition is 866152; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 452,928

Proper Divisor Sum 164,211

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #288697 ← → #288731

Radix Representation

Decimal	288717
Binary	1000110011111001101 (19 bits)
Octal	0o1063715
Hexadecimal	0x467CD

Divisor Catalog (16)

1 3 11 13 33 39 143 429 673 2,019 7,403 8,749 22,209 26,247 96,239 288,717

Collatz Trajectory (96 steps to reach 1)

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

288,717 866,152 433,076 216,538 108,269 324,808 162,404 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834

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