2,314,092

2² × 3 × 11 × 47 × 373

Starting at 2,314,092, the Collatz iteration reaches 1 after 99 steps. The first transition is 1157046; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 47 × 373

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,031,872

Proper Divisor Sum 3,717,780

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2314087 ← → #2314093

Radix Representation

Decimal	2314092
Binary	1000110100111101101100 (22 bits)
Octal	0o10647554
Hexadecimal	0x234F6C

Divisor Catalog (48)

1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 373 517 564 746 1,034 1,119 1,492 1,551 2,068 2,238 3,102 4,103 4,476 6,204 8,206 12,309 16,412 17,531 24,618 35,062 49,236 52,593 70,124 105,186 192,841 210,372 385,682 578,523 771,364 1,157,046 2,314,092

Collatz Trajectory (99 steps to reach 1)

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

2,314,092 1,157,046 578,523 1,735,570 867,785 2,603,356 1,301,678 650,839 1,952,518 976,259 2,928,778 1,464,389 4,393,168 2,196,584 1,098,292 549,146 274,573 823,720 411,860 205,930 102,965 308,896 154,448 77,224 38,612 19,306 9,653 28,960 14,480 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409

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