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Atlas › Integer Profiles › Node 4,065,152

4,065,152

27 × 7 × 13 × 349
Abundant Even Composite

4,065,152 factors as 2^7 × 7 × 13 × 349. Its 64 positive divisors give a proper-divisor sum of 5,930,848, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^7 × 7 × 13 × 349
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,996,000
Proper Divisor Sum 5,930,848
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #4065137 ← → #4065157

Radix Representation

Decimal 4065152
Binary 1111100000011110000000 (22 bits)
Octal 0o17403600
Hexadecimal 0x3E0780

Divisor Catalog (60 of 64)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 349 364 416 448 698 728 832 896 1,396 1,456 1,664 2,443 2,792 2,912 4,537 4,886 5,584 5,824 9,074 9,772 11,168 11,648 18,148 19,544 22,336 31,759 36,296 39,088 44,672 63,518 72,592 78,176 127,036 145,184 156,352 254,072 290,368 312,704 508,144

Collatz Trajectory (154 steps to reach 1)

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

4,065,152 2,032,576 1,016,288 508,144 254,072 127,036 63,518 31,759 95,278 47,639 142,918 71,459 214,378 107,189 321,568 160,784 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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