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Atlas › Integer Profiles › Node 36,920,080

36,920,080

24 × 5 × 37 × 12473
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 12473
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 88,166,232
Proper Divisor Sum 51,246,152
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #36920069 ← → #36920099

Radix Representation

Decimal 36920080
Binary 10001100110101101100010000 (26 bits)
Octal 0o214655420
Hexadecimal 0x2335B10

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1,480 2,960 12,473 24,946 49,892 62,365 99,784 124,730 199,568 249,460 461,501 498,920 923,002 997,840 1,846,004 2,307,505 3,692,008 4,615,010 7,384,016 9,230,020 18,460,040 36,920,080

Collatz Trajectory (51 steps to reach 1)

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

36,920,080 18,460,040 9,230,020 4,615,010 2,307,505 6,922,516 3,461,258 1,730,629 5,191,888 2,595,944 1,297,972 648,986 324,493 973,480 486,740 243,370 121,685 365,056 182,528 91,264 45,632 22,816 11,408 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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