2,157,657

3 × 17 × 42307

Starting at 2,157,657, the Collatz iteration reaches 1 after 241 steps. The first transition is 6472972; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 42307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,046,176

Proper Divisor Sum 888,519

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #2157641 ← → #2157667

Radix Representation

Decimal	2157657
Binary	1000001110110001011001 (22 bits)
Octal	0o10166131
Hexadecimal	0x20EC59

Divisor Catalog (8)

1 3 17 51 42,307 126,921 719,219 2,157,657

Collatz Trajectory (241 steps to reach 1)

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

2,157,657 6,472,972 3,236,486 1,618,243 4,854,730 2,427,365 7,282,096 3,641,048 1,820,524 910,262 455,131 1,365,394 682,697 2,048,092 1,024,046 512,023 1,536,070 768,035 2,304,106 1,152,053 3,456,160 1,728,080 864,040 432,020 216,010 108,005 324,016 162,008 81,004 40,502 20,251 60,754 30,377 91,132 45,566 22,783 68,350 34,175 102,526 51,263 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523 778,570 389,285 1,167,856 583,928 291,964 145,982 72,991 218,974 109,487 328,462 164,231 492,694

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