λ
Harmonic Matrix

9,041,054

2 × 11 × 61 × 6737
Deficient Even Composite

9,041,054 has digital root 5. The neighboring primes are 9041029 and 9041063; its proper-divisor sum differs from the starting integer by -3,042,892.

Prime Factor Structure

Factorization String 2 × 11 × 61 × 6737
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,039,216
Proper Divisor Sum 5,998,162
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9041029 ← → #9041063

Radix Representation

Decimal 9041054
Binary 100010011111010010011110 (24 bits)
Octal 0o42372236
Hexadecimal 0x89F49E

Divisor Catalog (16)

1 2 11 22 61 122 671 1,342 6,737 13,474 74,107 148,214 410,957 821,914 4,520,527 9,041,054

Collatz Trajectory (88 steps to reach 1)

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

9,041,054 4,520,527 13,561,582 6,780,791 20,342,374 10,171,187 30,513,562 15,256,781 45,770,344 22,885,172 11,442,586 5,721,293 17,163,880 8,581,940 4,290,970 2,145,485 6,436,456 3,218,228 1,609,114 804,557 2,413,672 1,206,836 603,418 301,709 905,128 452,564 226,282 113,141 339,424 169,712 84,856 42,428 21,214 10,607 31,822 15,911 47,734 23,867 71,602 35,801 107,404 53,702 26,851 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268

More profiles

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