λ
Harmonic Matrix

7,480,839

3 × 43 × 57991
Deficient Odd Composite

7,480,839 has digital root 3. The neighboring primes are 7480831 and 7480853; its proper-divisor sum differs from the starting integer by -4,755,086.

Prime Factor Structure

Factorization String 3 × 43 × 57991
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,206,592
Proper Divisor Sum 2,725,753
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7480831 ← → #7480853

Radix Representation

Decimal 7480839
Binary 11100100010011000000111 (23 bits)
Octal 0o34423007
Hexadecimal 0x722607

Divisor Catalog (8)

1 3 43 129 57,991 173,973 2,493,613 7,480,839

Collatz Trajectory (173 steps to reach 1)

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

7,480,839 22,442,518 11,221,259 33,663,778 16,831,889 50,495,668 25,247,834 12,623,917 37,871,752 18,935,876 9,467,938 4,733,969 14,201,908 7,100,954 3,550,477 10,651,432 5,325,716 2,662,858 1,331,429 3,994,288 1,997,144 998,572 499,286 249,643 748,930 374,465 1,123,396 561,698 280,849 842,548 421,274 210,637 631,912 315,956 157,978 78,989 236,968 118,484 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220

More profiles

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