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Atlas › Integer Profiles › Node 28,792,140

28,792,140

22 × 3 × 5 × 13 × 36913
Abundant Even Composite

28,792,140 factors as 2^2 × 3 × 5 × 13 × 36913. Its 48 positive divisors give a proper-divisor sum of 58,029,588, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 36913
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 86,821,728
Proper Divisor Sum 58,029,588
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #28792139 ← → #28792187

Radix Representation

Decimal 28792140
Binary 1101101110101010101001100 (25 bits)
Octal 0o155652514
Hexadecimal 0x1B7554C

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 36,913 73,826 110,739 147,652 184,565 221,478 369,130 442,956 479,869 553,695 738,260 959,738 1,107,390 1,439,607 1,919,476 2,214,780 2,399,345 2,879,214 4,798,690 5,758,428 7,198,035 9,597,380 14,396,070 28,792,140

Collatz Trajectory (149 steps to reach 1)

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

28,792,140 14,396,070 7,198,035 21,594,106 10,797,053 32,391,160 16,195,580 8,097,790 4,048,895 12,146,686 6,073,343 18,220,030 9,110,015 27,330,046 13,665,023 40,995,070 20,497,535 61,492,606 30,746,303 92,238,910 46,119,455 138,358,366 69,179,183 207,537,550 103,768,775 311,306,326 155,653,163 466,959,490 233,479,745 700,439,236 350,219,618 175,109,809 525,329,428 262,664,714 131,332,357 393,997,072 196,998,536 98,499,268 49,249,634 24,624,817 73,874,452 36,937,226 18,468,613 55,405,840 27,702,920 13,851,460 6,925,730 3,462,865 10,388,596 5,194,298 2,597,149 7,791,448 3,895,724 1,947,862 973,931 2,921,794 1,460,897 4,382,692 2,191,346 1,095,673

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