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Atlas › Integer Profiles › Node 1,361,440

1,361,440

25 × 5 × 67 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 67 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,290,112
Proper Divisor Sum 1,928,672
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1361431 ← → #1361441

Radix Representation

Decimal 1361440
Binary 101001100011000100000 (21 bits)
Octal 0o5143040
Hexadecimal 0x14C620

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 67 80 127 134 160 254 268 335 508 536 635 670 1,016 1,072 1,270 1,340 2,032 2,144 2,540 2,680 4,064 5,080 5,360 8,509 10,160 10,720 17,018 20,320 34,036 42,545 68,072 85,090 136,144 170,180 272,288 340,360 680,720 1,361,440

Collatz Trajectory (62 steps to reach 1)

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

1,361,440 680,720 340,360 170,180 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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