6,482,136

2³ × 3 × 23 × 11743

Starting at 6,482,136, the Collatz iteration reaches 1 after 209 steps. The first transition is 3241068; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 11743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,911,360

Proper Divisor Sum 10,429,224

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6482129 ← → #6482149

Radix Representation

Decimal	6482136
Binary	11000101110100011011000 (23 bits)
Octal	0o30564330
Hexadecimal	0x62E8D8

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 11,743 23,486 35,229 46,972 70,458 93,944 140,916 270,089 281,832 540,178 810,267 1,080,356 1,620,534 2,160,712 3,241,068 6,482,136

Collatz Trajectory (209 steps to reach 1)

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

6,482,136 3,241,068 1,620,534 810,267 2,430,802 1,215,401 3,646,204 1,823,102 911,551 2,734,654 1,367,327 4,101,982 2,050,991 6,152,974 3,076,487 9,229,462 4,614,731 13,844,194 6,922,097 20,766,292 10,383,146 5,191,573 15,574,720 7,787,360 3,893,680 1,946,840 973,420 486,710 243,355 730,066 365,033 1,095,100 547,550 273,775 821,326 410,663 1,231,990 615,995 1,847,986 923,993 2,771,980 1,385,990 692,995 2,078,986 1,039,493 3,118,480 1,559,240 779,620 389,810 194,905 584,716 292,358 146,179 438,538 219,269 657,808 328,904 164,452 82,226 41,113

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