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Atlas › Integer Profiles › Node 7,308,960

7,308,960

25 × 3 × 5 × 15227
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 15227
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,024,736
Proper Divisor Sum 15,715,776
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7308949 ← → #7308967

Radix Representation

Decimal 7308960
Binary 11011111000011010100000 (23 bits)
Octal 0o33703240
Hexadecimal 0x6F86A0

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 15,227 30,454 45,681 60,908 76,135 91,362 121,816 152,270 182,724 228,405 243,632 304,540 365,448 456,810 487,264 609,080 730,896 913,620 1,218,160 1,461,792 1,827,240 2,436,320 3,654,480 7,308,960

Collatz Trajectory (59 steps to reach 1)

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

7,308,960 3,654,480 1,827,240 913,620 456,810 228,405 685,216 342,608 171,304 85,652 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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