λ
Modular Archive

1,364,560

24 × 5 × 37 × 461
Abundant Even Composite

The decimal integer 1,364,560 is 101001101001001010000 in binary (21 bits), 5151120 in octal and 14D250 in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 2^4 × 5 × 37 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,265,416
Proper Divisor Sum 1,900,856
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1364533 ← → #1364569

Radix Representation

Decimal 1364560
Binary 101001101001001010000 (21 bits)
Octal 0o5151120
Hexadecimal 0x14D250

Divisor Catalog (40)

1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 461 592 740 922 1,480 1,844 2,305 2,960 3,688 4,610 7,376 9,220 17,057 18,440 34,114 36,880 68,228 85,285 136,456 170,570 272,912 341,140 682,280 1,364,560

Collatz Trajectory (62 steps to reach 1)

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

1,364,560 682,280 341,140 170,570 85,285 255,856 127,928 63,964 31,982 15,991 47,974 23,987 71,962 35,981 107,944 53,972 26,986 13,493 40,480 20,240 10,120 5,060 2,530 1,265 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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