2,157,452

2² × 11 × 49033

Starting at 2,157,452, the Collatz iteration reaches 1 after 166 steps. The first transition is 1078726; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 49033

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,118,856

Proper Divisor Sum 1,961,404

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2157451 ← → #2157457

Radix Representation

Decimal	2157452
Binary	1000001110101110001100 (22 bits)
Octal	0o10165614
Hexadecimal	0x20EB8C

Divisor Catalog (12)

1 2 4 11 22 44 49,033 98,066 196,132 539,363 1,078,726 2,157,452

Collatz Trajectory (166 steps to reach 1)

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

2,157,452 1,078,726 539,363 1,618,090 809,045 2,427,136 1,213,568 606,784 303,392 151,696 75,848 37,924 18,962 9,481 28,444 14,222 7,111 21,334 10,667 32,002 16,001 48,004 24,002 12,001 36,004 18,002 9,001 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282

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