3,835,888

2⁴ × 7 × 29 × 1181

Starting at 3,835,888, the Collatz iteration reaches 1 after 247 steps. The first transition is 1917944; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7 × 29 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,794,080

Proper Divisor Sum 4,958,192

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #3835883 ← → #3835903

Radix Representation

Decimal	3835888
Binary	1110101000011111110000 (22 bits)
Octal	0o16503760
Hexadecimal	0x3A87F0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1,181 1,624 2,362 3,248 4,724 8,267 9,448 16,534 18,896 33,068 34,249 66,136 68,498 132,272 136,996 239,743 273,992 479,486 547,984 958,972 1,917,944 3,835,888

Collatz Trajectory (247 steps to reach 1)

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

3,835,888 1,917,944 958,972 479,486 239,743 719,230 359,615 1,078,846 539,423 1,618,270 809,135 2,427,406 1,213,703 3,641,110 1,820,555 5,461,666 2,730,833 8,192,500 4,096,250 2,048,125 6,144,376 3,072,188 1,536,094 768,047 2,304,142 1,152,071 3,456,214 1,728,107 5,184,322 2,592,161 7,776,484 3,888,242 1,944,121 5,832,364 2,916,182 1,458,091 4,374,274 2,187,137 6,561,412 3,280,706 1,640,353 4,921,060 2,460,530 1,230,265 3,690,796 1,845,398 922,699 2,768,098 1,384,049 4,152,148 2,076,074 1,038,037 3,114,112 1,557,056 778,528 389,264 194,632 97,316 48,658 24,329

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