3,678,777

3⁵ × 15139

Starting at 3,678,777, the Collatz iteration reaches 1 after 141 steps. The first transition is 11036332; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 15139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,510,960

Proper Divisor Sum 1,832,183

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3678751 ← → #3678791

Radix Representation

Decimal	3678777
Binary	1110000010001000111001 (22 bits)
Octal	0o16021071
Hexadecimal	0x382239

Divisor Catalog (12)

1 3 9 27 81 243 15,139 45,417 136,251 408,753 1,226,259 3,678,777

Collatz Trajectory (141 steps to reach 1)

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

3,678,777 11,036,332 5,518,166 2,759,083 8,277,250 4,138,625 12,415,876 6,207,938 3,103,969 9,311,908 4,655,954 2,327,977 6,983,932 3,491,966 1,745,983 5,237,950 2,618,975 7,856,926 3,928,463 11,785,390 5,892,695 17,678,086 8,839,043 26,517,130 13,258,565 39,775,696 19,887,848 9,943,924 4,971,962 2,485,981 7,457,944 3,728,972 1,864,486 932,243 2,796,730 1,398,365 4,195,096 2,097,548 1,048,774 524,387 1,573,162 786,581 2,359,744 1,179,872 589,936 294,968 147,484 73,742 36,871 110,614 55,307 165,922 82,961 248,884 124,442 62,221 186,664 93,332 46,666 23,333

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