2,842,047

3⁴ × 13 × 2699

Starting at 2,842,047, the Collatz iteration reaches 1 after 262 steps. The first transition is 8526142; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 13 × 2699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,573,800

Proper Divisor Sum 1,731,753

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2842033 ← → #2842061

Radix Representation

Decimal	2842047
Binary	1010110101110110111111 (22 bits)
Octal	0o12656677
Hexadecimal	0x2B5DBF

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 2,699 8,097 24,291 35,087 72,873 105,261 218,619 315,783 947,349 2,842,047

Collatz Trajectory (262 steps to reach 1)

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

2,842,047 8,526,142 4,263,071 12,789,214 6,394,607 19,183,822 9,591,911 28,775,734 14,387,867 43,163,602 21,581,801 64,745,404 32,372,702 16,186,351 48,559,054 24,279,527 72,838,582 36,419,291 109,257,874 54,628,937 163,886,812 81,943,406 40,971,703 122,915,110 61,457,555 184,372,666 92,186,333 276,559,000 138,279,500 69,139,750 34,569,875 103,709,626 51,854,813 155,564,440 77,782,220 38,891,110 19,445,555 58,336,666 29,168,333 87,505,000 43,752,500 21,876,250 10,938,125 32,814,376 16,407,188 8,203,594 4,101,797 12,305,392 6,152,696 3,076,348 1,538,174 769,087 2,307,262 1,153,631 3,460,894 1,730,447 5,191,342 2,595,671 7,787,014 3,893,507

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