λ
Harmonic Matrix

7,424,776

23 × 928097
Deficient Even Composite

7,424,776 has digital root 1. The neighboring primes are 7424761 and 7424789; its proper-divisor sum differs from the starting integer by -928,082.

Prime Factor Structure

Factorization String 2^3 × 928097
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,921,470
Proper Divisor Sum 6,496,694
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7424761 ← → #7424789

Radix Representation

Decimal 7424776
Binary 11100010100101100001000 (23 bits)
Octal 0o34245410
Hexadecimal 0x714B08

Divisor Catalog (8)

1 2 4 8 928,097 1,856,194 3,712,388 7,424,776

Collatz Trajectory (85 steps to reach 1)

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

7,424,776 3,712,388 1,856,194 928,097 2,784,292 1,392,146 696,073 2,088,220 1,044,110 522,055 1,566,166 783,083 2,349,250 1,174,625 3,523,876 1,761,938 880,969 2,642,908 1,321,454 660,727 1,982,182 991,091 2,973,274 1,486,637 4,459,912 2,229,956 1,114,978 557,489 1,672,468 836,234 418,117 1,254,352 627,176 313,588 156,794 78,397 235,192 117,596 58,798 29,399 88,198 44,099 132,298 66,149 198,448 99,224 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233 15,700 7,850

More profiles

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