λ
Prime Ledger

4,626,414

2 × 32 × 13 × 17 × 1163
Abundant Even Composite

4,626,414 has the prime decomposition 2 × 3^2 × 13 × 17 × 1163. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17 × 1163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,439,792
Proper Divisor Sum 6,813,378
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4626407 ← → #4626421

Radix Representation

Decimal 4626414
Binary 10001101001011111101110 (23 bits)
Octal 0o21513756
Hexadecimal 0x4697EE

Divisor Catalog (48)

1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1,163 1,326 1,989 2,326 3,489 3,978 6,978 10,467 15,119 19,771 20,934 30,238 39,542 45,357 59,313 90,714 118,626 136,071 177,939 257,023 272,142 355,878 514,046 771,069 1,542,138 2,313,207 4,626,414

Collatz Trajectory (100 steps to reach 1)

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

4,626,414 2,313,207 6,939,622 3,469,811 10,409,434 5,204,717 15,614,152 7,807,076 3,903,538 1,951,769 5,855,308 2,927,654 1,463,827 4,391,482 2,195,741 6,587,224 3,293,612 1,646,806 823,403 2,470,210 1,235,105 3,705,316 1,852,658 926,329 2,778,988 1,389,494 694,747 2,084,242 1,042,121 3,126,364 1,563,182 781,591 2,344,774 1,172,387 3,517,162 1,758,581 5,275,744 2,637,872 1,318,936 659,468 329,734 164,867 494,602 247,301 741,904 370,952 185,476 92,738 46,369 139,108 69,554 34,777 104,332 52,166 26,083 78,250 39,125 117,376 58,688 29,344

More profiles

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