λ
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4,362,470

2 × 5 × 72 × 29 × 307
Abundant Even Composite

4,362,470 factors as 2 × 5 × 7^2 × 29 × 307. Its 48 positive divisors give a proper-divisor sum of 5,117,770, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 29 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,480,240
Proper Divisor Sum 5,117,770
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4362469 ← → #4362481

Radix Representation

Decimal 4362470
Binary 10000101001000011100110 (23 bits)
Octal 0o20510346
Hexadecimal 0x4290E6

Divisor Catalog (48)

1 2 5 7 10 14 29 35 49 58 70 98 145 203 245 290 307 406 490 614 1,015 1,421 1,535 2,030 2,149 2,842 3,070 4,298 7,105 8,903 10,745 14,210 15,043 17,806 21,490 30,086 44,515 62,321 75,215 89,030 124,642 150,430 311,605 436,247 623,210 872,494 2,181,235 4,362,470

Collatz Trajectory (105 steps to reach 1)

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

4,362,470 2,181,235 6,543,706 3,271,853 9,815,560 4,907,780 2,453,890 1,226,945 3,680,836 1,840,418 920,209 2,760,628 1,380,314 690,157 2,070,472 1,035,236 517,618 258,809 776,428 388,214 194,107 582,322 291,161 873,484 436,742 218,371 655,114 327,557 982,672 491,336 245,668 122,834 61,417 184,252 92,126 46,063 138,190 69,095 207,286 103,643 310,930 155,465 466,396 233,198 116,599 349,798 174,899 524,698 262,349 787,048 393,524 196,762 98,381 295,144 147,572 73,786 36,893 110,680 55,340 27,670

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