λ
Harmonic Matrix

9,042,139

659 × 13721
Deficient Odd Composite

9,042,139 has digital root 1. The neighboring primes are 9042127 and 9042179; its proper-divisor sum differs from the starting integer by -9,027,758.

Prime Factor Structure

Factorization String 659 × 13721
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,056,520
Proper Divisor Sum 14,381
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9042127 ← → #9042179

Radix Representation

Decimal 9042139
Binary 100010011111100011011011 (24 bits)
Octal 0o42374333
Hexadecimal 0x89F8DB

Divisor Catalog (4)

1 659 13,721 9,042,139

Collatz Trajectory (137 steps to reach 1)

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

9,042,139 27,126,418 13,563,209 40,689,628 20,344,814 10,172,407 30,517,222 15,258,611 45,775,834 22,887,917 68,663,752 34,331,876 17,165,938 8,582,969 25,748,908 12,874,454 6,437,227 19,311,682 9,655,841 28,967,524 14,483,762 7,241,881 21,725,644 10,862,822 5,431,411 16,294,234 8,147,117 24,441,352 12,220,676 6,110,338 3,055,169 9,165,508 4,582,754 2,291,377 6,874,132 3,437,066 1,718,533 5,155,600 2,577,800 1,288,900 644,450 322,225 966,676 483,338 241,669 725,008 362,504 181,252 90,626 45,313 135,940 67,970 33,985 101,956 50,978 25,489 76,468 38,234 19,117 57,352

More profiles

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