6,008,684

2² × 11 × 17 × 29 × 277

Starting at 6,008,684, the Collatz iteration reaches 1 after 113 steps. The first transition is 3004342; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 29 × 277

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,610,080

Proper Divisor Sum 6,601,396

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6008677 ← → #6008687

Radix Representation

Decimal	6008684
Binary	10110111010111101101100 (23 bits)
Octal	0o26727554
Hexadecimal	0x5BAF6C

Divisor Catalog (48)

1 2 4 11 17 22 29 34 44 58 68 116 187 277 319 374 493 554 638 748 986 1,108 1,276 1,972 3,047 4,709 5,423 6,094 8,033 9,418 10,846 12,188 16,066 18,836 21,692 32,132 51,799 88,363 103,598 136,561 176,726 207,196 273,122 353,452 546,244 1,502,171 3,004,342 6,008,684

Collatz Trajectory (113 steps to reach 1)

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

6,008,684 3,004,342 1,502,171 4,506,514 2,253,257 6,759,772 3,379,886 1,689,943 5,069,830 2,534,915 7,604,746 3,802,373 11,407,120 5,703,560 2,851,780 1,425,890 712,945 2,138,836 1,069,418 534,709 1,604,128 802,064 401,032 200,516 100,258 50,129 150,388 75,194 37,597 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884 16,942 8,471 25,414 12,707 38,122

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