λ
Prime Ledger

7,055,216

24 × 72 × 8999
Abundant Even Composite

7,055,216 has the prime decomposition 2^4 × 7^2 × 8999. Its 3 distinct prime factors produce 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 8999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 15,903,000
Proper Divisor Sum 8,847,784
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7055203 ← → #7055219

Radix Representation

Decimal 7055216
Binary 11010111010011101110000 (23 bits)
Octal 0o32723560
Hexadecimal 0x6BA770

Divisor Catalog (30)

1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 8,999 17,998 35,996 62,993 71,992 125,986 143,984 251,972 440,951 503,944 881,902 1,007,888 1,763,804 3,527,608 7,055,216

Collatz Trajectory (67 steps to reach 1)

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

7,055,216 3,527,608 1,763,804 881,902 440,951 1,322,854 661,427 1,984,282 992,141 2,976,424 1,488,212 744,106 372,053 1,116,160 558,080 279,040 139,520 69,760 34,880 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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