λ
Harmonic Matrix

7,555,978

2 × 3777989
Deficient Even Composite

7,555,978 has digital root 1. The neighboring primes are 7555943 and 7555981; its proper-divisor sum differs from the starting integer by -3,777,986.

Prime Factor Structure

Factorization String 2 × 3777989
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,333,970
Proper Divisor Sum 3,777,992
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7555943 ← → #7555981

Radix Representation

Decimal 7555978
Binary 11100110100101110001010 (23 bits)
Octal 0o34645612
Hexadecimal 0x734B8A

Divisor Catalog (4)

1 2 3,777,989 7,555,978

Collatz Trajectory (111 steps to reach 1)

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

7,555,978 3,777,989 11,333,968 5,666,984 2,833,492 1,416,746 708,373 2,125,120 1,062,560 531,280 265,640 132,820 66,410 33,205 99,616 49,808 24,904 12,452 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978

More profiles

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