λ
Sequence Observatory
Atlas › Integer Profiles › Node 8,512,980

8,512,980

22 × 3 × 5 × 7 × 20269
Abundant Even Composite

Starting at 8,512,980, the Collatz iteration reaches 1 after 75 steps. The first transition is 4256490; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 20269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,242,880
Proper Divisor Sum 18,729,900
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8512919 ← → #8512981

Radix Representation

Decimal 8512980
Binary 100000011110010111010100 (24 bits)
Octal 0o40362724
Hexadecimal 0x81E5D4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 20,269 40,538 60,807 81,076 101,345 121,614 141,883 202,690 243,228 283,766 304,035 405,380 425,649 567,532 608,070 709,415 851,298 1,216,140 1,418,830 1,702,596 2,128,245 2,837,660 4,256,490 8,512,980

Collatz Trajectory (75 steps to reach 1)

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

8,512,980 4,256,490 2,128,245 6,384,736 3,192,368 1,596,184 798,092 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

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