λ
Harmonic Matrix

7,408,745

5 × 1481749
Deficient Odd Composite

7,408,745 has digital root 8. The neighboring primes are 7408733 and 7408757; its proper-divisor sum differs from the starting integer by -5,926,990.

Prime Factor Structure

Factorization String 5 × 1481749
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,890,500
Proper Divisor Sum 1,481,755
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7408733 ← → #7408757

Radix Representation

Decimal 7408745
Binary 11100010000110001101001 (23 bits)
Octal 0o34206151
Hexadecimal 0x710C69

Divisor Catalog (4)

1 5 1,481,749 7,408,745

Collatz Trajectory (266 steps to reach 1)

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

7,408,745 22,226,236 11,113,118 5,556,559 16,669,678 8,334,839 25,004,518 12,502,259 37,506,778 18,753,389 56,260,168 28,130,084 14,065,042 7,032,521 21,097,564 10,548,782 5,274,391 15,823,174 7,911,587 23,734,762 11,867,381 35,602,144 17,801,072 8,900,536 4,450,268 2,225,134 1,112,567 3,337,702 1,668,851 5,006,554 2,503,277 7,509,832 3,754,916 1,877,458 938,729 2,816,188 1,408,094 704,047 2,112,142 1,056,071 3,168,214 1,584,107 4,752,322 2,376,161 7,128,484 3,564,242 1,782,121 5,346,364 2,673,182 1,336,591 4,009,774 2,004,887 6,014,662 3,007,331 9,021,994 4,510,997 13,532,992 6,766,496 3,383,248 1,691,624

More profiles

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