λ
Harmonic Matrix

7,116,390

2 × 33 × 5 × 26357
Abundant Even Composite

7,116,390 has digital root 9. The neighboring primes are 7116379 and 7116409; its proper-divisor sum differs from the starting integer by 4,744,980.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 26357
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,977,760
Proper Divisor Sum 11,861,370
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7116379 ← → #7116409

Radix Representation

Decimal 7116390
Binary 11011001001011001100110 (23 bits)
Octal 0o33113146
Hexadecimal 0x6C9666

Divisor Catalog (32)

1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 26,357 52,714 79,071 131,785 158,142 237,213 263,570 395,355 474,426 711,639 790,710 1,186,065 1,423,278 2,372,130 3,558,195 7,116,390

Collatz Trajectory (147 steps to reach 1)

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

7,116,390 3,558,195 10,674,586 5,337,293 16,011,880 8,005,940 4,002,970 2,001,485 6,004,456 3,002,228 1,501,114 750,557 2,251,672 1,125,836 562,918 281,459 844,378 422,189 1,266,568 633,284 316,642 158,321 474,964 237,482 118,741 356,224 178,112 89,056 44,528 22,264 11,132 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532

More profiles

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