6,529,768

2³ × 7 × 17 × 19³

Starting at 6,529,768, the Collatz iteration reaches 1 after 90 steps. The first transition is 3264884; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 17 × 19^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 15,638,400

Proper Divisor Sum 9,108,632

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6529763 ← → #6529771

Radix Representation

Decimal	6529768
Binary	11000111010001011101000 (23 bits)
Octal	0o30721350
Hexadecimal	0x63A2E8

Divisor Catalog (60 of 64)

1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 361 476 532 646 722 952 1,064 1,292 1,444 2,261 2,527 2,584 2,888 4,522 5,054 6,137 6,859 9,044 10,108 12,274 13,718 18,088 20,216 24,548 27,436 42,959 48,013 49,096 54,872 85,918 96,026 116,603 171,836 192,052 233,206 343,672 384,104 466,412 816,221

Collatz Trajectory (90 steps to reach 1)

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

6,529,768 3,264,884 1,632,442 816,221 2,448,664 1,224,332 612,166 306,083 918,250 459,125 1,377,376 688,688 344,344 172,172 86,086 43,043 129,130 64,565 193,696 96,848 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154

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