287,496

2³ × 3³ × 11³

Starting at 287,496, the Collatz iteration reaches 1 after 96 steps. The first transition is 143748; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11^3

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 878,400

Proper Divisor Sum 590,904

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #287491 ← → #287501

Radix Representation

Decimal	287496
Binary	1000110001100001000 (19 bits)
Octal	0o1061410
Hexadecimal	0x46308

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 121 132 198 216 242 264 297 363 396 484 594 726 792 968 1,089 1,188 1,331 1,452 2,178 2,376 2,662 2,904 3,267 3,993 4,356 5,324 6,534 7,986 8,712 10,648 11,979 13,068 15,972 23,958 26,136 31,944 35,937 47,916

Collatz Trajectory (96 steps to reach 1)

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

287,496 143,748 71,874 35,937 107,812 53,906 26,953 80,860 40,430 20,215 60,646 30,323 90,970 45,485 136,456 68,228 34,114 17,057 51,172 25,586 12,793 38,380 19,190 9,595 28,786 14,393 43,180 21,590 10,795 32,386 16,193 48,580 24,290 12,145 36,436 18,218 9,109 27,328 13,664 6,832 3,416 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834

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