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Atlas › Integer Profiles › Node 4,436,046

4,436,046

2 × 34 × 139 × 197
Abundant Even Composite

4,436,046 factors as 2 × 3^4 × 139 × 197. Its 40 positive divisors give a proper-divisor sum of 5,626,314, so this integer is abundant. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 139 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,062,360
Proper Divisor Sum 5,626,314
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4436039 ← → #4436051

Radix Representation

Decimal 4436046
Binary 10000111011000001001110 (23 bits)
Octal 0o20730116
Hexadecimal 0x43B04E

Divisor Catalog (40)

1 2 3 6 9 18 27 54 81 139 162 197 278 394 417 591 834 1,182 1,251 1,773 2,502 3,546 3,753 5,319 7,506 10,638 11,259 15,957 22,518 27,383 31,914 54,766 82,149 164,298 246,447 492,894 739,341 1,478,682 2,218,023 4,436,046

Collatz Trajectory (211 steps to reach 1)

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

4,436,046 2,218,023 6,654,070 3,327,035 9,981,106 4,990,553 14,971,660 7,485,830 3,742,915 11,228,746 5,614,373 16,843,120 8,421,560 4,210,780 2,105,390 1,052,695 3,158,086 1,579,043 4,737,130 2,368,565 7,105,696 3,552,848 1,776,424 888,212 444,106 222,053 666,160 333,080 166,540 83,270 41,635 124,906 62,453 187,360 93,680 46,840 23,420 11,710 5,855 17,566 8,783 26,350 13,175 39,526 19,763 59,290 29,645 88,936 44,468 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691

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