λ
Harmonic Matrix

7,937,294

2 × 3968647
Deficient Even Composite

7,937,294 has digital root 5. The neighboring primes are 7937291 and 7937297; its proper-divisor sum differs from the starting integer by -3,968,644.

Prime Factor Structure

Factorization String 2 × 3968647
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,905,944
Proper Divisor Sum 3,968,650
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7937291 ← → #7937297

Radix Representation

Decimal 7937294
Binary 11110010001110100001110 (23 bits)
Octal 0o36216416
Hexadecimal 0x791D0E

Divisor Catalog (4)

1 2 3,968,647 7,937,294

Collatz Trajectory (124 steps to reach 1)

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

7,937,294 3,968,647 11,905,942 5,952,971 17,858,914 8,929,457 26,788,372 13,394,186 6,697,093 20,091,280 10,045,640 5,022,820 2,511,410 1,255,705 3,767,116 1,883,558 941,779 2,825,338 1,412,669 4,238,008 2,119,004 1,059,502 529,751 1,589,254 794,627 2,383,882 1,191,941 3,575,824 1,787,912 893,956 446,978 223,489 670,468 335,234 167,617 502,852 251,426 125,713 377,140 188,570 94,285 282,856 141,428 70,714 35,357 106,072 53,036 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392

More profiles

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