λ
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Atlas › Integer Profiles › Node 52,279,780

52,279,780

22 × 5 × 7 × 421 × 887
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 421 × 887
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 125,911,296
Proper Divisor Sum 73,631,516
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #52279771 ← → #52279807

Radix Representation

Decimal 52279780
Binary 11000111011011100111100100 (26 bits)
Octal 0o307334744
Hexadecimal 0x31DB9E4

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 140 421 842 887 1,684 1,774 2,105 2,947 3,548 4,210 4,435 5,894 6,209 8,420 8,870 11,788 12,418 14,735 17,740 24,836 29,470 31,045 58,940 62,090 124,180 373,427 746,854 1,493,708 1,867,135 2,613,989 3,734,270 5,227,978 7,468,540 10,455,956 13,069,945 26,139,890 52,279,780

Collatz Trajectory (225 steps to reach 1)

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

52,279,780 26,139,890 13,069,945 39,209,836 19,604,918 9,802,459 29,407,378 14,703,689 44,111,068 22,055,534 11,027,767 33,083,302 16,541,651 49,624,954 24,812,477 74,437,432 37,218,716 18,609,358 9,304,679 27,914,038 13,957,019 41,871,058 20,935,529 62,806,588 31,403,294 15,701,647 47,104,942 23,552,471 70,657,414 35,328,707 105,986,122 52,993,061 158,979,184 79,489,592 39,744,796 19,872,398 9,936,199 29,808,598 14,904,299 44,712,898 22,356,449 67,069,348 33,534,674 16,767,337 50,302,012 25,151,006 12,575,503 37,726,510 18,863,255 56,589,766 28,294,883 84,884,650 42,442,325 127,326,976 63,663,488 31,831,744 15,915,872 7,957,936 3,978,968 1,989,484

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