3,542,690

2 × 5 × 23 × 73 × 211

Starting at 3,542,690, the Collatz iteration reaches 1 after 146 steps. The first transition is 1771345; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 73 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,777,216

Proper Divisor Sum 3,234,526

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3542677 ← → #3542701

Radix Representation

Decimal	3542690
Binary	1101100000111010100010 (22 bits)
Octal	0o15407242
Hexadecimal	0x360EA2

Divisor Catalog (32)

1 2 5 10 23 46 73 115 146 211 230 365 422 730 1,055 1,679 2,110 3,358 4,853 8,395 9,706 15,403 16,790 24,265 30,806 48,530 77,015 154,030 354,269 708,538 1,771,345 3,542,690

Collatz Trajectory (146 steps to reach 1)

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

3,542,690 1,771,345 5,314,036 2,657,018 1,328,509 3,985,528 1,992,764 996,382 498,191 1,494,574 747,287 2,241,862 1,120,931 3,362,794 1,681,397 5,044,192 2,522,096 1,261,048 630,524 315,262 157,631 472,894 236,447 709,342 354,671 1,064,014 532,007 1,596,022 798,011 2,394,034 1,197,017 3,591,052 1,795,526 897,763 2,693,290 1,346,645 4,039,936 2,019,968 1,009,984 504,992 252,496 126,248 63,124 31,562 15,781 47,344 23,672 11,836 5,918 2,959 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746

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