2,292,862

2 × 11 × 13 × 8017

Starting at 2,292,862, the Collatz iteration reaches 1 after 236 steps. The first transition is 1146431; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 8017

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,041,072

Proper Divisor Sum 1,748,210

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2292859 ← → #2292869

Radix Representation

Decimal	2292862
Binary	1000101111110001111110 (22 bits)
Octal	0o10576176
Hexadecimal	0x22FC7E

Divisor Catalog (16)

1 2 11 13 22 26 143 286 8,017 16,034 88,187 104,221 176,374 208,442 1,146,431 2,292,862

Collatz Trajectory (236 steps to reach 1)

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

2,292,862 1,146,431 3,439,294 1,719,647 5,158,942 2,579,471 7,738,414 3,869,207 11,607,622 5,803,811 17,411,434 8,705,717 26,117,152 13,058,576 6,529,288 3,264,644 1,632,322 816,161 2,448,484 1,224,242 612,121 1,836,364 918,182 459,091 1,377,274 688,637 2,065,912 1,032,956 516,478 258,239 774,718 387,359 1,162,078 581,039 1,743,118 871,559 2,614,678 1,307,339 3,922,018 1,961,009 5,883,028 2,941,514 1,470,757 4,412,272 2,206,136 1,103,068 551,534 275,767 827,302 413,651 1,240,954 620,477 1,861,432 930,716 465,358 232,679 698,038 349,019 1,047,058 523,529

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