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4,465,370

2 × 5 × 72 × 13 × 701
Abundant Even Composite

4,465,370 factors as 2 × 5 × 7^2 × 13 × 701. Its 48 positive divisors give a proper-divisor sum of 5,618,158, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 13 × 701
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,083,528
Proper Divisor Sum 5,618,158
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4465369 ← → #4465379

Radix Representation

Decimal 4465370
Binary 10001000010001011011010 (23 bits)
Octal 0o21021332
Hexadecimal 0x4422DA

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 49 65 70 91 98 130 182 245 455 490 637 701 910 1,274 1,402 3,185 3,505 4,907 6,370 7,010 9,113 9,814 18,226 24,535 34,349 45,565 49,070 63,791 68,698 91,130 127,582 171,745 318,955 343,490 446,537 637,910 893,074 2,232,685 4,465,370

Collatz Trajectory (118 steps to reach 1)

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

4,465,370 2,232,685 6,698,056 3,349,028 1,674,514 837,257 2,511,772 1,255,886 627,943 1,883,830 941,915 2,825,746 1,412,873 4,238,620 2,119,310 1,059,655 3,178,966 1,589,483 4,768,450 2,384,225 7,152,676 3,576,338 1,788,169 5,364,508 2,682,254 1,341,127 4,023,382 2,011,691 6,035,074 3,017,537 9,052,612 4,526,306 2,263,153 6,789,460 3,394,730 1,697,365 5,092,096 2,546,048 1,273,024 636,512 318,256 159,128 79,564 39,782 19,891 59,674 29,837 89,512 44,756 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787

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