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Atlas › Integer Profiles › Node 5,772,162

5,772,162

2 × 3 × 11 × 19 × 4603
Abundant Even Composite

5,772,162 factors as 2 × 3 × 11 × 19 × 4603. Its 32 positive divisors give a proper-divisor sum of 7,487,358, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 19 × 4603
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,259,520
Proper Divisor Sum 7,487,358
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5772161 ← → #5772167

Radix Representation

Decimal 5772162
Binary 10110000001001110000010 (23 bits)
Octal 0o26011602
Hexadecimal 0x581382

Divisor Catalog (32)

1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1,254 4,603 9,206 13,809 27,618 50,633 87,457 101,266 151,899 174,914 262,371 303,798 524,742 962,027 1,924,054 2,886,081 5,772,162

Collatz Trajectory (183 steps to reach 1)

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

5,772,162 2,886,081 8,658,244 4,329,122 2,164,561 6,493,684 3,246,842 1,623,421 4,870,264 2,435,132 1,217,566 608,783 1,826,350 913,175 2,739,526 1,369,763 4,109,290 2,054,645 6,163,936 3,081,968 1,540,984 770,492 385,246 192,623 577,870 288,935 866,806 433,403 1,300,210 650,105 1,950,316 975,158 487,579 1,462,738 731,369 2,194,108 1,097,054 548,527 1,645,582 822,791 2,468,374 1,234,187 3,702,562 1,851,281 5,553,844 2,776,922 1,388,461 4,165,384 2,082,692 1,041,346 520,673 1,562,020 781,010 390,505 1,171,516 585,758 292,879 878,638 439,319 1,317,958

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