λ
Harmonic Matrix

7,484,042

2 × 443 × 8447
Deficient Even Composite

7,484,042 has digital root 2. The neighboring primes are 7484041 and 7484047; its proper-divisor sum differs from the starting integer by -3,715,348.

Prime Factor Structure

Factorization String 2 × 443 × 8447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,252,736
Proper Divisor Sum 3,768,694
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7484041 ← → #7484047

Radix Representation

Decimal 7484042
Binary 11100100011001010001010 (23 bits)
Octal 0o34431212
Hexadecimal 0x72328A

Divisor Catalog (8)

1 2 443 886 8,447 16,894 3,742,021 7,484,042

Collatz Trajectory (173 steps to reach 1)

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

7,484,042 3,742,021 11,226,064 5,613,032 2,806,516 1,403,258 701,629 2,104,888 1,052,444 526,222 263,111 789,334 394,667 1,184,002 592,001 1,776,004 888,002 444,001 1,332,004 666,002 333,001 999,004 499,502 249,751 749,254 374,627 1,123,882 561,941 1,685,824 842,912 421,456 210,728 105,364 52,682 26,341 79,024 39,512 19,756 9,878 4,939 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322

More profiles

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