λ
Harmonic Matrix

5,118,112

25 × 41 × 47 × 83
Abundant Even Composite

5,118,112 has digital root 1. The neighboring primes are 5118107 and 5118143; its proper-divisor sum differs from the starting integer by 432,448.

Prime Factor Structure

Factorization String 2^5 × 41 × 47 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,668,672
Proper Divisor Sum 5,550,560
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5118107 ← → #5118143

Radix Representation

Decimal 5118112
Binary 10011100001100010100000 (23 bits)
Octal 0o23414240
Hexadecimal 0x4E18A0

Divisor Catalog (48)

1 2 4 8 16 32 41 47 82 83 94 164 166 188 328 332 376 656 664 752 1,312 1,328 1,504 1,927 2,656 3,403 3,854 3,901 6,806 7,708 7,802 13,612 15,416 15,604 27,224 30,832 31,208 54,448 61,664 62,416 108,896 124,832 159,941 319,882 639,764 1,279,528 2,559,056 5,118,112

Collatz Trajectory (74 steps to reach 1)

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

5,118,112 2,559,056 1,279,528 639,764 319,882 159,941 479,824 239,912 119,956 59,978 29,989 89,968 44,984 22,492 11,246 5,623 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904

More profiles

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