3,677,805

3⁶ × 5 × 1009

Starting at 3,677,805, the Collatz iteration reaches 1 after 221 steps. The first transition is 11033416; the starting value is odd with 28 positive divisors.

Prime Factor Structure

Factorization String 3^6 × 5 × 1009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 6,623,580

Proper Divisor Sum 2,945,775

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3677803 ← → #3677819

Radix Representation

Decimal	3677805
Binary	1110000001111001101101 (22 bits)
Octal	0o16017155
Hexadecimal	0x381E6D

Divisor Catalog (28)

1 3 5 9 15 27 45 81 135 243 405 729 1,009 1,215 3,027 3,645 5,045 9,081 15,135 27,243 45,405 81,729 136,215 245,187 408,645 735,561 1,225,935 3,677,805

Collatz Trajectory (221 steps to reach 1)

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

3,677,805 11,033,416 5,516,708 2,758,354 1,379,177 4,137,532 2,068,766 1,034,383 3,103,150 1,551,575 4,654,726 2,327,363 6,982,090 3,491,045 10,473,136 5,236,568 2,618,284 1,309,142 654,571 1,963,714 981,857 2,945,572 1,472,786 736,393 2,209,180 1,104,590 552,295 1,656,886 828,443 2,485,330 1,242,665 3,727,996 1,863,998 931,999 2,795,998 1,397,999 4,193,998 2,096,999 6,290,998 3,145,499 9,436,498 4,718,249 14,154,748 7,077,374 3,538,687 10,616,062 5,308,031 15,924,094 7,962,047 23,886,142 11,943,071 35,829,214 17,914,607 53,743,822 26,871,911 80,615,734 40,307,867 120,923,602 60,461,801 181,385,404

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