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Atlas › Integer Profiles › Node 88,419,140

88,419,140

22 × 5 × 712 × 877
Abundant Even Composite

88,419,140 factors as 2^2 × 5 × 71^2 × 877. Its 36 positive divisors give a proper-divisor sum of 100,127,848, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 71^2 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 188,546,988
Proper Divisor Sum 100,127,848
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #88419127 ← → #88419143

Radix Representation

Decimal 88419140
Binary 101010001010010101101000100 (27 bits)
Octal 0o521225504
Hexadecimal 0x5452B44

Divisor Catalog (36)

1 2 4 5 10 20 71 142 284 355 710 877 1,420 1,754 3,508 4,385 5,041 8,770 10,082 17,540 20,164 25,205 50,410 62,267 100,820 124,534 249,068 311,335 622,670 1,245,340 4,420,957 8,841,914 17,683,828 22,104,785 44,209,570 88,419,140

Collatz Trajectory (143 steps to reach 1)

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

88,419,140 44,209,570 22,104,785 66,314,356 33,157,178 16,578,589 49,735,768 24,867,884 12,433,942 6,216,971 18,650,914 9,325,457 27,976,372 13,988,186 6,994,093 20,982,280 10,491,140 5,245,570 2,622,785 7,868,356 3,934,178 1,967,089 5,901,268 2,950,634 1,475,317 4,425,952 2,212,976 1,106,488 553,244 276,622 138,311 414,934 207,467 622,402 311,201 933,604 466,802 233,401 700,204 350,102 175,051 525,154 262,577 787,732 393,866 196,933 590,800 295,400 147,700 73,850 36,925 110,776 55,388 27,694 13,847 41,542 20,771 62,314 31,157 93,472

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